Papers

Books

[2] Cramer, Catherine; Sayama, Hiroki; Sheetz, Lori; Uzzo, Stephen; and Porter, Mason A. (eds.) [2018]. Network Science in Education --- Tools and Techniques for Transforming Teaching and Learning (Springer International Publishing; Cham, Switzerland). (See its Springer page.)

[1] Porter, Mason A. and Gleeson, James P. [2016]. Dynamical Systems on Networks: A Tutorial. Frontiers in Applied Dynamical Systems: Reviews and Tutorials, Volume 4 (Springer International Publishing; Cham, Switzerland). [You can also download an arXiv preprint.]

Papers in Research Journals, Papers Submitted to Research Journals, and Working Papers

[202] Baek, Elisa C.; Hyon, Ryan; López, Karina; Porter, Mason A.; and Parkinson, Carolyn [2023]. Perceived Community Alignment Increases Information Sharing, arXiv:2304.13796.

[201] Li, Zidu; Porter, Mason A.; and Choubey, Bhaskar [2023]. Recurrence Recovery in Heterogeneous Fermi-Pasta-Ulam-Tsingou Systems, arXiv:2303.16403.

[200] Li, Grace J.; Luo, Jiajie; and Porter, Mason A. [2023]. Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds, arXiv:2303.07563.

[199] Chu, Weiqi; Li, Qin; and Porter, Mason A. [2022]. Inference of Interaction Kernels in Mean-Field Models of Opinion Dynamics, arXiv:2212.14489.

[198] Böttcher, Lucas and Porter, Mason A. [2022]. Complex Networks with Complex Weights, arXiv:2212.06257.

[197] Chao, Zehan; Molitor, Denali; Needell, Deanna; and Porter, Mason A. [2022]. Inference of Media Bias and Content Quality Using Natural-Language Processing, arXiv:2212.00237.

[196] Xiao, Zhiping; Zhu, Jeffrey; Wang, Yining; Zhou, Pei; Porter, Mason A.; and Sun, Yizhou [2023]. Detecting Political Biases of Named Entities and Hashtags on Twitter, European Physical Journal --- Data Science, in press, arXiv:2209.08110.

[195] Brooks, Heather Z.; Chodrow, Philip S.; and Porter, Mason A. [2022]. Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics, arXiv:2209.07004.

[194] Chu, Weiqi and Porter, Mason A. [2023]. Non-Markovian Models of Opinion Dynamics on Temporal Networks, SIAM Journal on Applied Dynamical Systems, in press, arXiv:2208.12787.

[193] Peng, Kaiyan and Porter, Mason A. [2022]. A Majority-Vote Model on Multiplex Networks with Community Structure, arXiv:2206.13416.

[192] Li, Grace J. and Porter, Mason A. [2023]. A Bounded-Confidence Model of Opinion Dynamics with Heterogeneous Node-Activity Levels, Physical Review Research, in press (arXiv:2206.09490).

[191] Hickok, Abigail; Jarman, Benjamin; Johnson, Michael; Luo, Jiajie; and Porter, Mason A. [2022]. Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites, arXiv:2206.04834.

[190] Ruangkriengsin, Tachin and Porter, Mason A. [2023]. Low-Dimensional Behavior of a Kuramoto Model with Inertia and Hebbian Learning, arXiv:2203.12090.

[189] Chu, Weiqi and Porter, Mason A. [2023]. A Density Description of a Bounded-Confidence Model of Opinion Dynamics on Hypergraphs, SIAM Journal on Applied Mathematics, in press, arXiv:2203.12189.

[188] Moston-Duggan, Aaron J.; Porter, Mason A.; and Lustri, Christopher J. [2023]. Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization, Journal of Nonlinear Science, Vol. 33: 12.

[187] Vargas Bernal, Esteban; Porter, Mason A.; and Tien, Joseph [2021]. An Extension of InfoMap to Absorbing Random Walks, arXiv:2112.10953.

[186] Kan, Unchitta; Feng, Michelle; and Porter, Mason A. [2023]. An Adaptive Bounded-Confidence Model of Opinion Dynamics on Networks, Journal of Complex Networks, Vol. 11, No. 1: cnac055.

[185] Ying, Fabian; Wallis, Alisdair O. G.; Porter, Mason A.; Howison, Sam D.; and Beguerisse-Díaz, Mariano [2023]. Minimizing Congestion in Single-Source, Single-Sink Queuing Networks, SIAM Journal on Applied Mathematics, in press, available online at SSRN (abstract number 3958094).

[184] Andris, Clio; Koylu, Caglar; and Porter, Mason A. [2022]. Human-Network Regions as Effective Geographic Units for Disease Mitigation, available online at SocArXiv (at https://osf.io/preprints/socarxiv/4mp6x).

[183] Hickok, Abigail; Needell, Deanna; and Porter, Mason A. [2022]. Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data, SIAM Journal on Mathematics of Data Science Vol. 4, No. 3: 1116-1144.

[182] Peng, Kaiyan; Lu, Zheng; Lindstrom, Michael R.; Parkinson, Christian; Wang, Chuntian; Bertozzi, Andrea L.; and Porter, Mason A. [2021]. A Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions, Mathematical Models and Methods in Applied Sciences, Vol. 31, No. 12: 2455-2494.

[181] Baek, Elisa C.; Hyon, Ryan; López, Karina; Du, Meng; Porter, Mason A.; and Parkinson, Carolyn [2022]. Lonely Individuals Process the World in Idiosyncratic Ways, Psychological Sciemce, OnlineFirst, https://doi.org/10.1177/09567976221145316.

[180] Baek, Elisa C.; Hyon, Ryan; López, Karina; Finn, Emily S.; Porter, Mason A.; and Parkinson, Carolyn [2022]. In-Degree Centrality in a Social Network is Linked to Coordinated Neural Activity, Nature Communications, Vol. 13: 1118.

[179] Curtis, Christopher W. and Porter, Mason A. [2021]. Detection of Functional Communities in Networks of Randomly Coupled Oscillators Using the Dynamic-Mode Decomposition, Physical Review E, Vol. 104, No. 4: 044305.

[178] Lyu, Hanbaek; Kureh, Yacoub H.; Vendrow, Joshua; and Porter, Mason A. [2021]. Learning Low-Rank Latent Mesoscale Structures in Networks, arXiv:2102.06984.

[177] Hickok, Abigail; Kureh, Yacoub; Brooks, Heather Z.; Feng, Michelle; and Porter, Mason A. [2022]. A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs, SIAM Journal on Applied Dynamical Systems, Vol. 21, No. 1: 1-32.

[176] Deng, Guo; Lustri, Christopher J.; and Porter, Mason A. [2021]. Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains, SIAM Journal on Applied Dynamical Systems, Vol. 20, No. 4: 2412-2449.

[175] Valles, Thomas E.; Shoenard, Hannah; Zinski, Joseph; Trick, Sarah; Porter, Mason A.; and Lindstrom, Michael R. [2022]. Networks of Necessity: Simulating COVID-19 Mitigation Strategies for Disabled People and Their Caregivers, PLoS Computational Biology, Vol. 18, No. 5: e1010042.

[174] Böttcher, Lucas and Porter, Mason A. [2021]. Classical and Quantum Random-Walk Centrality Measures in Multilayer Networks, SIAM Journal on Applied Mathematics, Vol. 81, No. 6: 2704-2724.

[173] Sugishita, Kashin; Porter, Mason A.; Beguerisse-Díaz, Mariano; and Masuda, Naoki [2021]. Opinion Dynamics on Tie-Decay Networks, Physical Review Research, Vol. 3, No. 2: 023249.

[172] Chen, Qinyi and Porter, Mason A. [2022]. Epidemic Thresholds of Infectious Diseases on Tie-Decay Networks, Journal of Complex Networks, Vol. 10, No. 1: cnab31.

[171] Chong, Christopher; Wang, Yifan; Maréchal, Donovan; Charalampidis, Efstathios; Molerón, Miguel; Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, Panayotis G.; and Daraio, Chiara [2021]. Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices, New Journal of Physics, Vol. 23: 043008.

[170] Schwarze, Alice C. and Porter, Mason A. [2021]. Motifs for Processes on Networks, SIAM Journal on Applied Dynamical Systems, Vol. 20, No. 4: 2516-2557.

[169] Gupta, Harsh and Porter, Mason A. [2022]. Mixed Logit Models and Network Formation, Journal of Complex Networks, Vol. 10, No. 6: cnac045.

[168] Otter, Nina and Porter, Mason A. [2020]. A Unified Framework for Equivalences in Social Networks, arXiv:2006.10733 (working paper).

[167] del Rio-Chanona, Maria; Korniyenko, Yevgeniya; Patnam, Manasa; and Porter, Mason A. [2020]. The Multiplex Nature of Global Financial Contagions, Applied Network Science, Vol. 5: 74.

[166] Feng, Michelle and Porter, Mason A. [2020]. Spatial Applications of Topological Data Analysis: Cities, Snowflakes, Random Structures, and Spiders Spinning Under the Influence, Physical Review Research, Vol. 2, No. 3: 033426. [Our software is available at this page.]

[165] Liu, Andrew and Porter, Mason A. [2020]. Spatial Strength Centrality and the Effect of Spatial Embeddings on Network Architecture, Physical Review E, Vol. 101, No. 6: 062305. [Our software is available at this page.]

[164] Baek, Elisa C.; Porter, Mason A.; and Parkinson, Carolyn [2021]. Social Network Analysis for Social Neuroscientists, Social Cognitive and Affective Neuroscience, Vol. 16, No. 8: 883-901.

[163] Carlen, Jane; de Dios Pont, Jaume; Mentus, Cassidy; Chang, Shyr-Shea; Wang, Stephanie; and Porter, Mason A. [2022]. Role Detection in Bicycle-Sharing Networks Using Multilayer Stochastic Block Models, Network Science, Vol. 10, No. 1: 46-81

[162] Pamfil, A. Roxana; Howison, Sam D.; and Porter, Mason A. [2020]. Inference of Edge Correlations in Multilayer Networks, Physical Review E, Vol. 102, No. 6: 062307.

[161] Nauer, Silvia; Böttcher, Lucas; and Porter, Mason A. [2020]. Random-Graph Models and Characterization of Granular Networks, Journal of Complex Networks, Vol. 8, No. 5: cnz037.

[160] Kureh, Yacoub H. and Porter, Mason A. [2020]. Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter Models, Physical Review E, Vol. 101, No. 6: 062303

[159] Calvo, Juan G.; Hernández, Alberto; Porter, Mason A.; and Sanchez, Fabio [2020]. A Two-Patch Epidemic Model with Nonlinear Reinfection, Revista de Matemática: Teoría y Aplicaciones, Vol. 27, No. 1: 23-48.

[158] Hall, Cameron L.; Porter, Mason A.; and Dawkins, Marian S. [2020]. Dominance, Sharing, and Assessment in an Iterated Hawk-Dove Game, Journal of Theoretical Biology, Vol. 493: 110101. [You can also download our code and a file with tournament results.]

[157] Zuo, Xinzhe and Porter, Mason A. [2021]. Models of Continuous-Time Networks with Tie Decay, Diffusion, and Convection, Physical Review E, Vol. 103, No. 2: 022304.

[156] Ying, Fabian; Wallis, Alisdair O. G.; Beguerisse-Díaz, Mariano; Porter, Mason A.; and Howison, Sam D. [2019]. Customer Mobility and Congestion in Supermarkets, Physical Review E, Vol. 100, No. 6: 062304.

[155] Tien, Joseph H.; Eisenberg, Marissa C.; Cherng, Sarah T.; and Porter, Mason A. [2020]. Online Reactions to the 2017 'Unite the Right' Rally in Charlottesville: Measuring Polarization in Twitter Networks Using Media Followership, Applied Network Science, Vol. 5: 10.

[154] Brooks, Heather Z. and Porter, Mason A. [2020]. A Model for the Influence of Media on the Ideology of Content in Online Social Networks, Physical Review Research, Vol. 2, No. 2: 023041. (You can also download our paper from their website.)

[153] Taylor, Dane; Porter, Mason A.; and Mucha, Peter J. [2021]. Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Vol. 19, No. 1: 113-147.

[152] Feng, Michelle and Porter, Mason A. [2021]. Persistent Homology of Geospatial Data: A Case Study with Voting, SIAM Review, Vol. 63, No. 1: 67-99.

[151] Schwarze, Alice C.; Chodrow, Philip S.; and Porter, Mason A. [2019]. Log-Minor Distributions and an Application to Estimating Mean Subsystem Entropy, arXiv:1901.09456.

[150] Darmon, Alexandra N. M.; Bazzi, Marya; Howison, Sam D.; and Porter, Mason A. [2021]. Pull Out All the Stops: Textual Analysis via Punctuation Sequences, European Journal of Applied Mathematics, Vol. 32, No. 6: 1069-1105.

[149] Berthier, Estelle; Porter, Mason A.; and Daniels, Karen E. [2019]. Forecasting Failure Locations in 2-Dimensional Disordered Lattices, Proceedings of the National Academy of the United States of America, Vol. 116, No. 34: 16742-16749.

[148] Yuan, Baichuan; Li, Hao; Bertozzi, Andrea L.; Brantingham, P. Jeffrey; and Porter, Mason A. [2019]. Multivariate Spatiotemporal Hawkes Processes and Network Reconstruction, SIAM Journal on Mathematics of Data Science, Vol. 1, No. 2: 356-382

[147] Volkening, Alexandria; Linder, Daniel F.; Porter, Mason A.; and Rempala, Grzegorz, A. [2020]. Forecasting Elections Using Compartmental Models of Infection, SIAM Review, Vol. 62, No. 4: 837-865.

[146] Stolz, Bernadette J.; Emerson, Tegan; Nahkuri, Satu; Porter, Mason A.; and Harrington, Heather A. [2021]. Topological Data Analysis of Task-Based fMRI Data from Experiments on Schizophrenia, Journal of Physics: Complexity, Vol. 2: 035006.

[145] Boyd, Zachary M.; Porter, Mason A.; and Bertozzi, Andrea L. [2020]. Stochastic Block Models are a Discrete Surface Tension, Journal of Nonlinear Science, Vol. 30, No. 5: 2429-2462.

[144] Flanagan, Ryan; Lacasa, Lucas; Towlson, Emma K.; Lee, Sang Hoon; and Porter, Mason A. [2019]. Effect of Antipsychotics on Community Structure in Functional Brain Networks, Journal of Complex Networks, Vol. 7, No. 6: 932-960.

[143] Ahmad, Walid; Porter, Mason A.; and Beguerisse-Díaz, Mariano [2021]. Tie-Decay Networks in Continuous Time and Eigenvector-Based Centralities, IEEE Transactions on Network Science and Engineering, Vol. 8, No. 2: 1759-1771.

[142] Speidel, Leo; Harrington, Heather A.; Chapman, S. Jonathan; and Porter, Mason A. [2018]. Topological Data Analysis of Continuum Percolation with Disks, Physical Review E, Vol. 98, No. 1: 012318.

[141] Pamfil, A. Roxana; Howison, Sam D.; Lambiotte, Renaud; and Porter, Mason A. [2019]. Relating Modularity Maximization and Stochastic Block Models in Multilayer Networks, SIAM Journal on Mathematics of Data Science, Vol. 1, No. 4: 667-698.

[140] Nelson, Heather; Porter, Mason A.; and Choubey, Bhaskar [2018]. Variability in Fermi-Pasta-Ulam-Tsingou Arrays Can Prevent Recurrences, Physical Review E, Vol. 98, No. 6: 062210.

[139] Martínez, Alejandro J.; Porter, Mason A.; and Kevrekidis, Panayotis G. [2018]. Quasiperiodic Granular Chains and Hofstadter Butterflies, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, No. 2127: 20170139. (Our paper also has the cover picture of this issue of the journal.)

[138] Molerón, Miguel; Chong, Christopher; Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, Panayotis G.; and Daraio, Chiara [2019]. Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions, New Journal of Physics, Vol. 21, No. 6: 063032.

[137] Finn, Kelly R.; Silk, Matthew J.; Porter, Mason A.; and Pinter-Wollman, Noa [2019]. The Use of Multilayer Network Analysis in Animal Behaviour, Animal Behaviour, Vol. 149: 7-22.

[136] Silk, Matthew, J.; Finn, Kelly; Porter, Mason A.; and Pinter-Wollman, Noa [2018]. Can Multilayer Networks Advance Animal Behavior Research?, Trends in Ecology & Evolution, Vol. 33, No. 6: 376-378.

[135] Stroud, Jake P.; Porter, Mason A.; Hennequin, Guillaume; and Vogels, Tim P. [2018]. Motor Primitives in Space and Time via Targeted Gain Modulation in Recurrent Cortical Networks, Nature Neuroscience, Vol. 21, No. 12: 1774-1783. (You can also download code and other materials for this paper.)

[134] Gould, Martin D.; Hautsch, Nicholas; Howison, Sam D.; and Porter, Mason A. [2020]. Counterparty Credit Limits: The Impact of a Risk-Mitigation Measure on Everyday Trading, Applied Mathematical Finance, Vol. 27, No. 6: 520-548.

[133] Papadopoulos, Lia; Porter, Mason A.; Daniels, Karen E.; and Bassett, Danielle S. [2018]. Network Analysis of Particles and Grains, Journal of Complex Networks, Vol. 6, No. 4: 485-565.

[132] Juul, Jonas Søgaard and Porter, Mason A. [2019]. Hipsters on Networks: How a Small Group of Individuals Can Lead to an Antiestablishment Majority, Physical Review E, Vol. 99, No. 2: 022313.

[131] Oh, Se-Wook and Porter, Mason A. [2018]. Complex Contagions with Timers, Chaos, Vol. 28, No. 3: 033101.

[130] Kao, Ta-Chu and Porter, Mason A. [2018]. Layer Communities in Multiplex Networks, Journal of Statistical Physics, Vol. 173, No. 3-4: 1286-1302.

[129] Kim, Eunho; Martínez, Alejandro J.; Phenisee, Sean E.; Kevrekidis, Panayotis, G.; Porter, Mason A.; and Yang, Jinkyu [2018]. Direct Measurement of Superdiffusive Energy Transport in Disordered Granular Chains, Nature Communications, Vol. 9: 640.

[128] Rombach, Puck; Porter, Mason A.; Fowler, James H.; and Mucha, Peter J. [2017]. Core-Periphery Structure in Networks (Revisited), SIAM Review, Vol. 59, No. 3: 619-646. [This is the SIGEST rebooted version of paper [67].]

[127] Buldú, Javier M. and Porter, Mason A. [2018], Frequency-Based Brain Networks: From a Multiplex Network to a Full Multilayer Description, Network Neuroscience, Vol. 2, No. 4: 418-441.

[126] Brüggemeier, Birgit; Porter, Mason A.; Vigoreaux, Jim O.; and Goodwin, Stephen F. [2018]. Female Drosophila melanogaster Respond to Song-Amplitude Modulations, Biology Open, Vol. 7: bio032003.

[125] Taylor-King, Jake P.; Basanta, David; Chapman, S. Jonathan; and Porter, Mason A. [2017]. Mean-Field Approach to Evolving Spatial Networks, with an Application to Osteocyte Network Formation, Physical Review E, Vol. 96, No. 1: 012301.

[124] Juul, Jonas Søgaard and Porter, Mason A. [2018]. Synergistic Effects in Threshold Models on Networks, Chaos, Vol. 28, No. 1: 013115.

[123] Meng, X. Flora; Van Gorder, Robert A.; and Porter, Mason A. [2018]. Opinion Formation and Distribution in a Bounded-Confidence Model on Various Networks, Physical Review E, Vol 97, No. 2: 022312.

[122] Chong, Christopher; Porter, Mason A.; Kevrekidis, Panayotis G.; and Daraio, Chiara [2017]. Nonlinear Coherent Structures in Granular Crystals, Journal of Physics: Condensed Matter, Vol. 29, 413003.

[121] Masuda, Naoki; Porter, Mason A.; and Lambiotte, Renaud [2017]. Random Walks and Diffusion on Networks, Physics Reports, Vol. 716-717: 1-58.

[120] Piltz, Sofia. H.; Harhanen, L.; Porter, Mason A.; and Maini, Philip K. [2018]. Inferring Parameters of Prey Switching in a Plankton 1 Predator--2 Prey System with a Linear Preference Tradeoff , Journal of Theoretical Biology, Vol. 456: 108-122.

[119] Stolz, Bernadette J.; Harrington, Heather A.; and Porter, Mason A. [2016]. The Topological "Shape" of Brexit, arXiv:1610.00752, submitted to The Mathematical Intelligencer.

[118] Gajamannage, Kelum; Bollt, Erik M.; Porter, Mason A.; and Dawkins, Marian S. [2017]. Modeling the Lowest-Cost Splitting of a Herd of Cows by Optimizing a Cost Function, Chaos, Vol. 27, No. 6: 063114.

[117] Bazzi, Marya; Jeub, Lucas G. S.; Arenas, Alex; Howison, Sam D.; and Porter, Mason A. [2020]. A Framework for the Construction of Generative Models for Mesoscale Structure in Multilayer Networks, Physical Review Research, Vol. 2, No. 2: 023100. [You can find code (and the outputs of the computational experiments in the paper) for our generative models at this webpage. You can also download this paper directly from the journal's website.]

[116] Lustri, Christopher J. and Porter, Mason A. [2018]. Nanoptera in a Period-2 Toda Chain, SIAM Journal on Applied Dynamical Systems, Vol. 17, No. 2: 1182-1212.

[115] Stolz, Bernadette J.; Harrington, Heather A.; and Porter, Mason A. [2017]. Persistent Homology of Time-Dependent Functional Networks Constructed from Coupled Time Series, Chaos, Vol. 27, No. 4: 047410

[114] De Domenico, Manlio; Granell, Clara; Porter, Mason A.; and Arenas, Alex [2016]. The Physics of Spreading Processes in Multilayer Networks, Nature Physics, Vol. 12, 901-906.

[113] Piltz, Sofia H.; Veerman, Frits; Maini, Philip K.; and Porter, Mason A. [2017]. A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution, SIAM Journal on Applied Dynamical Systems, Vol. 16, No. 1: 54-90. [You can also look at the paper's Supplementary Materials.]

[112] Danchev, Valentin and Porter, Mason A. [2018]. Neither Global nor Local: Heterogeneous Connectivity in Spatial Network Structures of World Migration, Social Networks, Vol. 53: 4-19.

[111] Martínez, Alejandro J.; Yasuda, Hiromi; Kim, Eunho; Kevrekidis, Panaoytis G.; Porter, Mason A.; and Yang, Jinkyu [2016]. Scattering of Waves by Impurities in Precompressed Granular Chains, Physical Review E, Vol. 93, No. 5: 052224.

[110] Pilosof, Shai; Porter, Mason A.; Pascual, Mercedes; and Kéfi, Sonia [2017]. The Multilayer Nature of Ecological Networks, Nature Ecology & Evolution, Vol. 1: 0101. [This paper also has Supplementary Data.]

[109] Jeub, Lucas G. S.; Mahoney, Michael W.; Mucha, Peter J.; and Porter, Mason A. [2017]. A Local Perspective on Community Structure in Multilayer Networks, Network Science, Vol. 5, No. 2: 144-163.

[108] Lee, Sang Hoon; Magallanes, José Manuel; and Porter, Mason A. [2017]. Time-Dependent Community Structure in Legislation Cosponsorship Networks in the Congress of the Republic of Peru, Journal of Complex Networks, Vol. 5, No. 1: 127-144. [You can also take a look at the accompanying data.]

[107] Sayama, Hiroki; Cramer, Catherine; Porter, Mason A.; Sheetz, Lori; and Uzzo, Stephen [2016]. What Are Essential Concepts About Networks?, Journal of Complex Networks, Vol. 4, No. 3: 457-474. [This article describes the process that led to the creation of the booklet Network Literacy: Essential Concepts and Core Ideas.]

[106] Taylor, Dane; Myers, Sean A.; Clauset, Aaron; Porter, Mason A.; and Mucha, Peter J. [2017]. Eigenvector-Based Centrality Measures for Temporal Networks, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Vol. 15, No. 1: 537-574

[105] Otter, Nina; Porter, Mason A.; Tillmann, Ulrike; Grindrod, Peter; and Harrington, Heather A. [2017]. A Roadmap for the Computation of Persistent Homology, European Physical Journal --- Data Science, Vol. 6: 17. [Also see Nina's GitHub page for this paper.]

[104] Kivelä, Mikko and Porter, Mason A. [2018]. Isomorphisms in Multilayer Networks, IEEE Transactions on Network Science and Engineering, Vol. 5, No. 3: 198-211.

[103] Gould, Martin D.; Porter, Mason A.; and Howison, Sam D. [2015]. The Long Memory of Order Flow in the Foreign Exchange Spot Market, Market Microstructure and Liquidity, Vol. 2, No. 1: 1650001.

[102] Gallotti, Ricardo; Porter, Mason A.; and Barthelemy, Marc [2016]. Lost in Transportation: Information Measures and Cognitive Limits in Multilayer Navigation, Science Advances, Vol. 2, No. 2: e1500445.

[101] Gould, Martin D.; Porter, Mason A.; and Howison, Sam D. [2017]. Quasi-Centralized Limit Order Books, Quantitative Finance, Vol. 17, No. 6: 831-853.

[100] Bazzi, Marya; Porter, Mason A.; Williams, Stacy; McDonald, Mark; Fenn, Daniel J.; and Howison, Sam D. [2016]. Community Detection in Temporal Multilayer Networks, with an Application to Correlation Networks, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Vol. 14, No. 1: 1-41.

[99] Kivelä, Mikko and Porter, Mason A. [2015]. Estimating Interevent Time Distributions from Finite Observation Periods in Communication Networks, Physical Review E, Vol. 92, No. 5: 052813. [Our code is available from this website.]

[98] Martínez, Alejandro J.; Kevrekidis, P. G.; and Porter, Mason A. [2016]. Superdiffusive Transport and Energy Localization in Disordered Granular Crystals, Physical Review E, Vol. 93, No. 2: 022902.

[97] Cucuringu, Mihai; Rombach, Puck; Lee, Sang Hoon; and Porter, Mason A. [2016]. Detection of Core-Periphery Structure in Networks Using Spectral Methods and Geodesic Paths, European Journal of Applied Mathematics, Vol. 27, No. 6: 846-887.

[96] Bassett, Danielle S.; Owens, Eli T.; Porter, Mason A.; Manning, M. Lisa; and Daniels, Karen E. [2015]. Extraction of Force-Chain Network Architecture in Granular Materials Using Community Detection, Soft Matter, Vol. 11, No. 14: 2731-2744.

[95] Taylor, Dane; Klimm, Florian; Harrington, Heather A.; Kramár, Miroslav; Mischaikow, Konstantin; Porter, Mason A.; and Mucha, Peter J. [2015]. Topological Data Analysis of Contagion Maps for Examining Spreading Processes on Networks, Nature Communications, Vol. 6: 7723. [You can also download our data and our code. You can also find our paper at the publisher's website.]

[94] Sotelo Herrera, Ma Dolores; San Martín, Jesús; and Porter, Mason A. [2016]. Heterogeneous, Weakly Coupled Map Lattices, Communications in Nonlinear Science and Numerical Simulation, Vol. 36: 549-563.

[93] Pearson, John. W; Olver, Sheehan; and Porter, Mason A. [2017]. Numerical Methods for the Computation of Confluent and Gauss Hypergeometric Functions, Numerical Algorithms, Vol. 74, No. 3: 821-866. [Associated Matlab code is available at this website.]

[92] Sarzynska, Marta; Leicht, Elizabeth A.; Chowell, Gerardo; and Porter, Mason A. [2016]. Null Models for Community Detection in Spatially Embedded, Temporal Networks, Journal of Complex Networks, Vol. 4, No. 3: 363-406.

[91] Lee, Sang Hoon; Fricker, Mark D.; and Porter, Mason A. [2017]. Mesoscale Analyses of Fungal Networks as an Approach for Quantifying Phenotypic Traits, Journal of Complex Networks, Vol. 5, No. 1: 145-159. [This paper includes the release of a large data set of fungal networks.]

[90] De Domenico, Manlio; Porter, Mason A.; and Arenas, Alex [2015]. MuxViz: A Tool for Multilayer Analysis and Visualization of Networks, Journal of Complex Networks, Vol. 3, No. 2: 159-176. [You can download MuxViz and look at our tutorial and gallery from this website.

[89] Jeub, Lucas G. S.; Balachandran, Prakash; Porter, Mason A.; Mucha, Peter J.; and Mahoney, Michael W. [2015]. Think Locally, Act Locally: Detection of Small, Medium-Sized, and Large Communities in Large Networks, Physical Review E, Vol. 91, No. 1: 012821. [You might also be interested in Lucas's code for local community detection and network visualization.]

[88] Lee, Sang Hoon; Cucuringu, Mihai; and Porter, Mason A. [2014]. Density-Based and Transport-Based Core-Periphery Structures in Networks, Physical Review E, Vol. 89, No. 3: 032810. [The rabbit-warren data set used in this paper is available from Sang Hoon's website.]

[87] Lee, Sang Hoon; Ffrancon, Robyn; Abrams, Daniel M.; Kim, Beom Jun; and Porter, Mason A. [2014]. Matchmaker, Matchmaker, Make Me a Match: Migration of Populations Via Marriages in the Past, Physical Review X, Vol. 4, No. 4: 041009. [You can also read the popular summary at the PRX page for this article.]

[86] Kivelä, Mikko; Arenas, Alex; Barthelemy, Marc; Gleeson, James P.; Moreno, Yamir; and Porter, Mason A. [2014]. Multilayer Networks, Journal of Complex Networks, Vol. 2, No. 3: 203-271.

[85] Grewal, Jasvir K.; Hall, Cameron D.; Porter, Mason A.; and Dawkins, Marian S. [2013]. Formation of Dominance Relationships via Strategy Updating in an Asymmetric Hawk-Dove Game, arXiv:1308.5358.

[84] Cozzo, Emanuele; Kivelä, Mikko; De Domenico, Manlio; Solé, Albert; Arenas, Alex; Gómez, Sergio; Porter, Mason A.; and Moreno, Yamir [2015]. Structure of Triadic Relations in Multiplex Networks, New Journal of Physics, Vol. 17, No. 7: 073029.

[83] De Domenico, Manlio; Solé-Ribalta, Albert; Cozzo, Emanuele; Kivelä, Mikko; Moreno, Yamir; Porter, Mason A.; Gómez, Sergio; and Arenas, Alex [2013]. Mathematical Formulation of Multilayer Networks, Physical Review X, Vol. 3, No. 4: 041022. [You can also read the popular summary at the PRX page for this article.]

[82] Bassett, Danielle S.; Wymbs, Nicholas F.; Porter, Mason A.; Mucha, Peter J.; and Grafton, Scott T. [2014]. Cross-Linked Structure of Network Evolution, Chaos, Vol. 24, No. 1: 013112.

[81] San Martín, Jesús and Porter, Mason A. [2013]. Convergence Time towards Periodic Orbits in Discrete Dynamical Systems, PLoS ONE, Vol. 9, No. 4: e92652.

[80] Gleeson, James P.; Cellai, Davide; Onnela, Jukka-Pekka; Porter, Mason A.; and Reed-Tsochas, Felix [2014]. A Simple Generative Model of Collective Online Behavior, Proceedings of the National Academy of Sciences of the United States of America, Vol. 111, No. 29: 10411-10415.

[79] Rombach, M. Puck and Porter, Mason A. [2013]. Discriminating Power of Centrality Measures, working paper [not yet submitted], arXiv:1305.3146.

[78] Hu, Huiyi; Laurent, Thomas; Porter, Mason A.; and Bertozzi, Andrea L. [2013]. A Method Based on Total Variation For Network Modularity Optimization Using the MBO Scheme, SIAM Journal on Applied Mathematics, Vol. 73, No. 6: 2224-2246.

[77] Piltz, Sofia H.; Porter, Mason A.; and Maini, Philip K. [2014]. Prey Switching with a Linear Preference Trade-Off, SIAM Journal on Applied Dynamical Systems, Vol. 13, No. 2: 658-682.

[76] Holmes, Scott; Porter, Mason A.; Krüger, Peter; and Kevrekidis, Panayotis G. [2013]. Solitary Matter Waves in Combined Linear and Nonlinear Potentials: Detection, Stability, and Dynamics, Physical Review A, Vol. 88, No. 3: 033627.

[75] Lai, Yi Ming and Porter, Mason A. [2013]. Noise-Induced Synchronization, Desynchronization, and Clustering in Globally Coupled Nonidentical Oscillators, Physical Review E, Vol. 88, No. 1: 012905.

[74] Bassett, Danielle S.; Wymbs, Nicholas F.; Rombach, M. Puck; Porter, Mason A.; Mucha, Peter J.; and Grafton, Scott T. [2013]. Task-Based Core-Periphery Organization of Human Brain Dynamics, PLoS Computational Biology, Vol. 9, No. 9: e1003171. (Also see the accepted preprint version, in which the supplementary figures might be easier to digest, and the version on the journal's website.)

[73] Hoffmann, Till; Lambiotte, Renaud; and Porter, Mason A. [2013]. Decentralized Routing on Spatial Networks with Stochastic Edge Weights, Physical Review E, Vol. 88, No. 2: 022815.

[72] Ranković, Sandra and Porter, Mason A. [2013]. Two-Particle Circular Billiards Versus Randomly Perturbed One-Particle Circular Billiards, Chaos, Vol. 23, No. 1: 013123.

[71] Mantzaris, Alexander V.; Bassett, Danielle S.; Wymbs, Nicholas F.; Estrada, Ernesto; Porter, Mason A.; Mucha, Peter J.; Grafton, Scott T.; and Higham, Desmond J. [2013]. Dynamic Network Centrality Summarizes Learning in the Human Brain, Journal of Complex Networks, Vol. 1, No. 1: 83-92.

[70] Melnik, Sergey; Porter, Mason A.; Mucha, Peter J.; and Gleeson, James P. [2014]. Dynamics on Modular Networks with Heterogeneous Correlations, Chaos, Vol. 24, No. 2: 023106.

[69] Wang, Chang; Law, Kody, J. H.; Kevrekidis, P. G.; and Porter, Mason A. [2013]. Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates, Physical Review A, Vol. 87, No. 2: 023621.

[68] Bassett, Danielle S.; Porter, Mason A.; Wymbs, Nicholas F.; Grafton, Scott T.; Carlson, Jean M.; and Mucha, Peter J. [2013]. Robust Detection of Dynamic Community Structure in Networks, Chaos, Vol. 23, No. 1: 013142.

[67] Rombach, M. Puck; Porter, Mason A.; Fowler, James H.; and Mucha, Peter J. [2014]. Core-Periphery Structure in Networks, SIAM Journal on Applied Mathematics, Vol. 74, No. 1: 167-190. [I have posted the data for the London Underground network --- which we use in this paper --- at this website.]

[66] Hoffmann, Till; Porter, Mason A.; and Lambiotte, Renaud [2012]. Generalized Master Equations for Non-Poisson Dynamics on Networks, Physical Review E, Vol. 86, No. 4: 046102. [The code that goes with this paper is available at this website.]

[65] Melnik, Sergey; Ward, Jonathan A.; Gleeson, James P.; and Porter, Mason A. [2013]. Multi-Stage Complex Contagions, Chaos, Vol. 23, No. 1: 013124.

[64] Wymbs, Nicholas F.; Bassett, Danielle S.; Mucha, Peter J.; Porter, Mason A.; and Grafton, Scott T. [2012]. Differential Recruitment of the Sensorimotor Putamen and Frontoparietal Cortex During Motor Chunking in Humans, Neuron, Vol. 74, No. 5: 936-946.

[63] Bassett, Danielle S.; Owens, Eli T.; Daniels, Karen E.; and Porter, Mason A. [2012]. Influence of Network Topology on Sound Propagation in Granular Materials, Physical Review E, Vol. 86, No. 4: 041306.

[62] Lewis, Anna C. F.; Jones, Nick S.; Porter, Mason A.; and Deane, Charlotte M. [2012]. What Evidence is There for the Homology of Protein-Protein Interactions?, PLoS Computational Biology, Vol. 8, No. 9: e1002645.

[61] Stoye, Sophie; Porter, Mason A.; and Dawkins, Marian Stamp [2012]. Synchronized Lying in Cattle in Relation to Time of Day, Livestock Science, Vol. 149, No. 1-2: 70-73.

[60] Martin, Carla D. and Porter, Mason A. [2012]. The Extraordinary SVD, American Mathematical Monthly, Vol. 119, No. 10: 838-851.

[59] Traud, Amanda L.; Mucha, Peter J.; and Porter, Mason A. [2012]. Social Structure of Facebook Networks, Physica A, Vol. 391, No. 16: 4165-4180. (Note: I have taken down the data used for this paper.)

[58] Gould, Martin D.; Porter, Mason A.; Williams, Stacy; McDonald, Mark; Fenn, Daniel J.; and Howison, Sam D. [2013]. Limit Order Books, Quantitative Finance, Vo. 13, No. 11: 1709-1742.

[57] Gleeson, James P.; Melnik, Sergey; Ward, Jonathan; Porter, Mason A.; and Mucha, Peter J. [2012]. Accuracy of Mean-Field Theory for Dynamics on Real-World Networks, Physical Review E, Vol. 85, No. 2: 026106.

[56] Fenn, Daniel J.; Porter, Mason A.; Williams, Stacy; McDonald, Mark; Johnson, Neil F.; and Jones, Nick S. [2011]. Temporal Evolution of Financial Market Correlations, Physical Review E, Vol. 84, No. 2: 026109.

[55] Macon, Kevin T.; Mucha, Peter J., and Porter, Mason A. [2012]. Community Structure in the United Nations General Assembly, Physica A, Vol. 391, No. 1-2: 343-361.

[54] Red, Veronica; Kelsic, Eric D.; Mucha, Peter J.; and Porter, Mason A. [2011]. Comparing Community Structure to Characteristics in Online Collegiate Social Networks, SIAM Review, Vol. 53, No. 3: 526-543. (Note: I have taken down the data used for this paper.)

[53] Bassett, Danielle S.; Wymbs, Nicholas F.; Porter, Mason A.; Mucha, Peter J.; Carlson, Jean M.; and Grafton, Scott T. [2011]. Dynamic Reconfiguration of Human Brain Networks During Learning, Proceedings of the National Academy of Sciences of the United States of America, Vol. 118, No. 18: 7641-7646.

[52] Theocharis, G.; Boechler, N.; Kevrekidis, P. G.; Job, S.; Porter, Mason A.; and Daraio, C. [2010]. Intrinsic Energy Localization through Discrete Gap Breathers in One-Dimensional Diatomic Granular Crystals, Physical Review E, Vol. 82, No. 5: 056604.

[51] Onnela, Jukka-Pekka; Fenn, Daniel J.; Reid, Stephen; Porter, Mason A.; Mucha, Peter J.; Fricker, Mark D.; and Jones, Nick S. [2012]. Taxonomies of Networks from Community Structure, Physical Review E, Vol. 86, No. 3: 036104. [Our code is also available.]

[50] Sun, J.; Bollt, Erik M.; Porter, Mason A.; and Dawkins, Marian S. [2011]. A Mathematical Model for the Dynamics and Synchronization of Cows, Physica D, Vol. 240, No. 19: 1497-1509.

[49] Melnik, Sergey; Hackett, Adam; Porter, Mason A.; Mucha, Peter J.; and Gleeson, James P. [2011]. The Unreasonable Effectiveness of Tree-Based Theory for Networks with Clustering, Physical Review E, Vol. 83, No. 3: 036112.

[48] Boechler, N.; Theocharis, G.; Job, S.; Kevrekidis, P. G.; Porter, Mason A.; and Daraio, C. [2010]. Discrete Breathers in One-Dimensional Diatomic Granular Crystals, Physical Review Letters, Vol. 104, No. 24: 244302.

[47] Mucha, Peter J.; Richardson, Thomas; Macon, Kevin; Porter, Mason A.; and Onnela, Jukka-Pekka [2010]. Community Structure in Time-Dependent, Multiscale, and Multiplex Networks, Science, Vol. 328, No. 5980: 876-878. [Associated with this paper is the GenLouvain software by L. G. S. Jeub, M. Bazzi, I. S. Jutla, and P. J. Mucha. The latest version is 2.1 (released November 2016). This software allows one to apply a Louvain-like community-detection method to multilayer networks of 'multislice' type.]

[46] Agarwal, Sumeet; Deane, Charlotte M.; Porter, Mason A.; and Jones, Nick S. [2010]. Revisiting Date and Party Hubs: Novel Approaches to Role Assignment in Protein Interaction Networks, PLoS Computational Biology, Vol. 6, No. 6: e1000817.

[45] Waugh, Andrew Scott; Pei, Liuyi; Fowler, James H.; Mucha, Peter J.; and Porter, Mason A. [2012]. Party Polarization in Congress: A Network Science Approach, arXiv:0907.3509. [You can download processed roll call voting data (and associated Matlab code) from this website.]

[44] Saavedra, Serguei; Powers, Scott; McCotter, Trent; Porter, Mason A.; and Mucha, Peter J. [2010]. Mutually-Antagonistic Interactions in Baseball Networks, Physica A, Vol. 389, No. 5: 1131-1141. (Go to this web page if you want to download the data.)

[43] Beguerisse Díaz, Mariano; Porter, Mason A.; and Onnela, Jukka-Pekka [2010]. Competition for Popularity in Bipartite Networks, Chaos, Vol. 20, No. 4: 043101.

[42] Theocharis, G.; Kavousanakis, M.; Kevrekidis, P. G.; Daraio, Chiara; Porter, Mason A.; and Kevrekidis, I. G. [2009]. Localized Breathing Modes in Granular Crystals with Defects, Physical Review E, Vol. 80, No. 6: 066601.

[41] Fenn, Daniel J.; Porter, Mason A.; Mucha, Peter J.; McDonald, Mark; Williams, Stacy; Johnson, Neil F.; and Jones, Nick S. [2012]. Dynamical Clustering of Exchange Rates, Quantitative Finance, Vol. 12, No. 10: 1493-1520.

[40] Lewis, Anna C. F.; Jones, Nick S.; Porter, Mason A.; and Deane, Charlotte M. [2010]. The Function of Communities in Protein Interaction Networks at Multiple Scales, BMC Systems Biology, Vol. 4: 100. (Also, here is the the second supplementary information file.)

[39] Ponson, Laurent; Boechler, Nicholas; Lai, Yi Ming; Porter, Mason A.; Kevrekidis, P. G.; and Daraio, Chiara [2010]. Nonlinear Waves in Disordered Diatomic Granular Chains, Physical Review E, Vol. 82, No. 2: 021301.

[38] Richardson, Thomas; Mucha, Peter J.; and Porter, Mason A. [2009]. Spectral Tripartitioning of Networks, Physical Review E, Vol. 80, No. 3: 036111.

[37] Fenn, Daniel J.; Porter, Mason A.; McDonald, Mark; Williams, Stacy; Johnson, Neil F.; and Jones, Nick S. [2009]. Dynamic Communities in Multichannel Data: An Application to the Foreign Exchange Market During the 2007-2008 Credit Crisis, Chaos, Vol. 19, No. 3: 033119.

[36] Daugherty, Darryl; Roque-Urrea, Tairi; Urrea-Roque, John; Troyer, Jessica; Wirkus, Stephen; and Porter, Mason A. [2009]. Mathematical Models of Bipolar Disorder, Communications in Nonlinear Science and Numerical Simulations, Vol. 14, No. 7: 2897-2908.

[35] Carretero-González, R.; Khatri, D.; Porter, Mason A.; Kevrekidis, P. G.; and Daraio, C. [2009]. Dissipative Solitary Waves in Granular Crystals, Physical Review Letters, Vol. 102, No. 2: 024102.

[34] Beheshti, S.; Law, K. J. H.; Kevrekidis, P.G.; and Porter, Mason A. [2008]. Averaging of Nonlinearity Management with Dissipation, Physical Review A, Vol. 78, No. 2: 025805.

[33] Fraternali, Fernando; Porter, Mason A.; and Daraio, Chiara [2010]. Optimal Design of Composite Granular Protectors, Mechanics of Advanced Materials and Structures, Vol. 17, No. 1: 1-19.

[32] Porter, Mason A.; Daraio, Chiara; Szelengowicz, Ivan; Herbold, Eric B.; and Kevrekidis, P. G. [2009]. Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media, Physica D, Vol. 238, No. 6: 666-676.

[31] Rodrigues, A. S.; Kevrekidis, P. G.; Porter, Mason A.; Frantzeskakis, D. J.; Schmelcher, P.; and Bishop, A. R. [2008]. Matter-Wave Solitons with a Periodic, Piecewise-Constant Scattering Length, Physical Review A, Vol. 78, No. 1: 013611.

[30] Zhang, Yan; Friend, A. J.; Traud, Amanda L.; Porter, Mason A.; Fowler, James H.; and Mucha, Peter J. [2008]. Community Structure in Congressional Cosponsorship Networks, Physica A, Vol. 387, No. 7: 1705-1712.

[29] Porter, Mason A.; Daraio, Chiara; Herbold, Eric B.; Szelengowicz, Ivan; and Kevrekidis, P. G. [2008]. Highly Nonlinear Solitary Waves in Phononic Crystal Dimers, Physical Review E (Rapid Communications), Vol. 77, No. 1: 015601(R).

[28] Barnett, Ryan; Refael, Gil; Porter, Mason A.; and Hans Peter Buchler [2008]. Vortex Lattice Locking in Rotating Two-Component Bose-Einstein Condensates, New Journal of Physics, Vol. 10, No. 4: 043030.

[27] Mainiero, Thomas and Porter, Mason A. [2007]. Quantization of a Free Particle Interacting Linearly with a Harmonic Oscillator, Chaos, Vol. 17, No. 4: 043130.

[26] Callaghan, Thomas; Mucha, Peter J.; and Porter, Mason A. [2007]. Random Walker Ranking for NCAA Division I-A Football, American Mathematical Monthly, Vol. 114, No. 9: 761-777.

[25] Porter, Mason A.; Mucha, Peter J.; Newman, M. E. J.; and Friend, A. J. [2007]. Community Structure in the United States House of Representatives, Physica A, Vol. 386, No. 1: 414-438.

[24] Centurion, Martin; Porter, Mason A.; Pu, Ye; Kevrekidis, P. G.; Frantzeskakis, D. J.; and Psaltis, Demetri [2007]. Modulational Instability in Nonlinearity-Managed Optical Media, Physical Review A, Vol. 75, No. 6: 063804.

[23] Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.; and Frantzeskakis, D. J. [2007]. Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates, Physica D, Vol. 229, No. 1: 104-115.

[22] van Noort, Martijn; Porter, Mason A.; Yi, Yingfei; and Chow, Shui-Nee [2007]. Quasiperiodic Dynamics in Bose-Einstein Condensates in Periodic Lattices and Superlattices, Journal of Nonlinear Science, Vol. 17, No. 1: 59-83.

[21] Centurion, Martin; Porter, Mason A.; Pu, Ye; Kevrekidis, P. G.; Frantzeskakis, D. J.; and Psaltis, Demetri [2006]. Modulational Instability in a Layered Kerr Medium: Theory and Experiment, Physical Review Letters, Vol. 97, No. 23: 234101.

[20] Centurion, Martin; Porter, Mason A.; Kevrekidis, P. G.; and Psaltis, Demetri [2006]. Nonlinearity Management in Optics: Experiment, Theory, and Simulation, Physical Review Letters, Vol. 97, No. 3: 033903.

[19] Nistazakis, H. E.; and Porter, Mason A.; and Kevrekidis, P. G.; and Frantzeskakis, D. J.; and Nicolin, A.; and Chin, J. K. [2006] Fractional-Period Excitations in Continuum Periodic Systems, Physical Review A, Vol. 74, No. 6: 063617.

[18] Porter, Mason A; Chugunova, Marina; and Pelinovsky, Dmitry E. [2006]. Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices, Physical Review E, Vol. 74, No. 3: 036610.

[17] Chua, Vivien P. and Porter, Mason A. [2006]. Spatial Resonance Overlap in Bose-Einstein Condensates in Superlattice Potentials, International Journal of Bifurcation and Chaos, Vol. 16, No. 4: 945-959.

[16] Lansel, Steven; Porter, Mason A.; and Bunimovich, Leonid A. [2006]. One-Particle and Few-Particle Billiards, Chaos, Vol. 16, No. 1: 013129.

[15] Porter, Mason A; Kevrekidis, P. G.; Carretero-González, R.; and Frantzeskakis, D. J. [2006]. Dynamics and Manipulation of Matter-Wave Solitons in Optical Superlattices, Physics Letters A, Vol. 352: 210-215.

[14] Porter, Mason A. and Kevrekidis, P. G. [2005]. Bose-Einstein Condensates in Superlattices, SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 4: 783-807.

[13] Porter, Mason A; Mucha, Peter J.; Newman, M. E. J.; and Warmbrand, Casey M [2005]. A Network Analysis of Committees in the U.S. House of Representatives, Proceedings of the National Academy of Sciences of the United States of America, Vol. 102, No. 20: 7057-7062.

[12] Porter, Mason A.; Carretero-González, R.; Kevrekidis, P. G.; and Malomed, Boris A. [2005]. Nonlinear Lattice Dynamics of Bose-Einstein Condensates, Chaos, Vol. 15, No. 1: 015115.

[11] Porter, Mason A. and Cvitanovic, Predrag [2004]. A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates, Chaos, Vol. 14, No. 3: 739-755.

[10] Porter, Mason A; Kevrekidis, P. G.; and Malomed, Boris A. [2004]. Resonant and Non-Resonant Modulated Amplitude Waves for Binary Bose-Einstein Condensates in Optical Lattices, Physica D, Vol. 196, No. 1-2: 106-123.

[9] Liboff, Richard L. and Porter, Mason A. [2004]. Energy Absorption and Dissipation in Quantum Systems, Physica D, Vol. 195, No. 3-4: 398-402.

[8] Porter, Mason A. and Cvitanovic, Predrag [2004]. Modulated Amplitude Waves in Bose-Einstein Condensates, Physical Review E, Vol. 69, No. 4: 047201.

[7] Porter, Mason A. and Liboff, Richard L. [2002]. A Galërkin Approach to Electronic Near-Degeneracies in Molecular Systems, Physica D, Vol. 167, No. 3-4: 218-247.

[6] Liboff, Richard L., Weimann, Nils, and Porter, Mason A. [2002]. Prime Quasientropy and Quasichaos, International Journal of Theoretical Physics, Vol. 41, No. 7: 1389-1395.

[5] Porter, Mason A. [2001]. Nonadiabatic Dynamics in Semiquantal Physics, Reports on Progress in Physics, Vol. 64, No. 9: 1165-1189.

[4] Porter, Mason A. and Liboff, Richard L. [2001]. Quantum Chaos for the Vibrating Rectangular Billiard, International Journal of Bifurcation and Chaos, Vol. 11, No. 9: 2317-2337. (Note: Papers [3] and [4] constitute the cover story of the 9/01 issue of International Journal of Bifurcation and Chaos.)

[3] Porter, Mason A. and Liboff, Richard L. [2001]. Vibrating Quantum Billiards on Riemannian Manifolds, International Journal of Bifurcation and Chaos, Vol. 11, No. 9: 2305-2315. (Note: Papers [3] and [4] constitute the cover story of the 9/01 issue of International Journal of Bifurcation and Chaos.)

[2] Porter, Mason A. and Liboff, Richard L. [2001]. Bifurcations in One Degree-of-Vibration Quantum Billiards, International Journal of Bifurcation and Chaos, Vol. 11, No. 4: 903-911.

[1] Liboff, Richard L. and Porter, Mason A. [2000]. Quantum Chaos for the Radially Vibrating Spherical Billiard, Chaos, Vol. 10, No. 2: 366-370.

Doctoral Dissertation

[1] Porter, Mason A. [2002]. Quantum Chaos in Vibrating Billiard Systems, Ph.D. dissertation, Cornell University, May 2002.

Conference Proceedings and Book Chapters

[20] Porter, Mason A. [2022]. A Non-Expert's Introduction to Data Ethics for Mathematicians, arXiv2201.07794.

[19] Feng, Michelle; Hickok, Abigail; and Porter, Mason A. [2022]. Topological Data Analysis of Spatial Systems, in Higher-Order Systems (F. Battiston and G. Petri [Eds.), pages 389-399; Springer International Publishing; Cham, Switzerland.

[18] Lewis, Anna C. F.; Jones, N. S.; Porter, Mason A.; and Deane, Charlotte M. [2020]. Community Matters, in The Art of Theoretical Biology (F. Matthaüs, S. Matthaüs, S. Harris, and T. Hillen [Eds.]), pages 82-83; Springer International Publishing; Cham, Switzerland.

[17] Danchev, Valentin and Porter, Mason A. [2021]. Migration Networks: Applications of Network Analysis to Macroscale Migration Patterns, in Research Handbook on International Migration and Digital Technology (M. McAuliffe [Ed.]), pages 70-90; Elgar Handbooks in Migration; Edward Elgar Publishing Ltd.; Cheltenham, U.K.

[16] Porter, Mason A. [2020]. Nonlinearity + Networks: A 2020 Vision, in Emerging Frontiers in Nonlinear Science (Panayotis G. Kevrekidis, Jesús Cuevas-Maraver, and Avadh Saxena [Eds.]), pages 131-159; Springer International Publishing; Cham, Switzerland.

[15] Taylor, Dane; Porter, Mason A.; and Mucha, Peter J. [2019]. Supracentrality Analysis of Temporal Networks with Directed Interlayer Coupling, in Temporal Network Theory (P. Holme and J. Saramäki [Eds.]), pages 325-344; Springer International Publishing; Cham, Switzerland.

[14] Porter, Mason A. [2018]. An Undergraduate Mathematics Course on Networks, pages 3-21; chapter in Network Science In Education: Transformational Approaches in Teaching and Learning (by Catherine Cramer, Mason A. Porter, Hiroki Sayama, Lori Sheetz, and Stephen M. Uzzo [Eds.]); Springer International Publishing; Cham, Switzerland.

[13] Gleeson, James P. and Porter, Mason A. [2018]. Message-Passing Methods for Complex Contagions, chapter in Complex Spreading Phenomena in Social Systems: Influence and Contagion in Real-World Social Networks (by Sune Lehmann and Yong-Yeol Ahn [Eds.]), pages 81-95, Springer International Publishing; Cham, Switzerland [refereed]; many chapters are available in preprint form at this website.

[12] Gould, Martin D.; Porter, Mason A.; Hautsch, Nikolas; Williams, Stacy; McDonald, Mark; Fenn, Daniel J.; and Howison, Sam D. [2013]. Modelling Limit Order Books with Bilateral Trading Agreements, 59th ISI World Statistics Congress, 25-30 August 2013, Hong Kong (Session IPS077), 764-769.

[11] Hoffmann, Till; Porter, Mason A.; and Lambiotte, Renaud [2013]. Random Walks on Stochastic Temporal Networks, in P. Holme and J. Saramäki (Eds.), Temporal Networks, pages 295-314 (Springer-Verlag) [refereed].

[10] Hu, Huiyi; van Gennip, Yves; Hunter, Blake; Porter, Mason A.; and Bertozzi, Andrea L. [2012]. Multislice Modularity Optimization in Community Detection and Image Segmentation, 12th IEEE International Conference on Data Mining Workshops (ICDMW), pages 934-936 [refereed].

[9] van Gennip, Yves; Hu, Huiyi; Hunter, Blake; and Porter, Mason A. [2012]. Geosocial Graph-Based Community Detection, 12th IEEE International Conference on Data Mining Workshops (ICDMW), pages 754-758 [refereed].

[8] Job, S.; Boechler, N.; Theocharis, G.; Kevrekidis, P. G.; Porter, Mason A.; and Daraio, C. [2012]. Discrete Breathers and Intrinsic Energy Localization in One-Dimensional Diatomic Granular Crystals, Acoustics 2012, Nantes, France, 23-27 April 2012.

[7] Melnik, S.; Hackett, A.; Porter, Mason A.; Mucha, Peter J.; and Gleeson, James P. [2010]. The Unreasonable Effectiveness of Tree-Based Theory for Bond Percolation on Networks with Clustering, Proceedings of the European Conference on Complex Systems (ECCS '10), Lisbon, Portugal.

[6] Porter, Mason A. [2009]. Experimental Results Related to DNLS Equations, in P. G. Kevrekidis, Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations, and Physics Perspectives, pages 175-189, Springer Tracts in Modern Physics (Springer-Verlag).

[5] Porter, Mason A.; Centurion, Martin; Pu, Ye; Kevrekidis, P. G.; Frantzeskakis, D. J.; and Psaltis, Demetri [2008]. Nonlinearity Management in Optics, Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1: 2030029-2030030 [Special Issue: Sixth International Congress on Industrial and Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zurich 2007].

[4] Daraio, C.; Porter, Mason A.; Herbold, Eric B.; Szelengowicz, I.; and Kevrekidis, Panayotis G. [2008]. Highly Nonlinear Waves in Periodic Media, in International Congress of Theoretical and Applied Mechanics XXII, Adelaide, Australia, 25-29 August 2008 [refereed].

[3] Das, Atin; Marko, M.; Probst, Andrej; Porter, Mason A.; and Gershenson, Carlos [2008]. Neural Net Model for Featured Word Extraction, in Ali A. Minai and Yaneer Bar-Yam (Editors), Unifying Themes in Complex Systems: Volume IV, pages 352-362, Springer-Verlag. [Here is the arXiv version.]

[2] Porter, Mason A. [2007]. Life on Both Sides of the Fence: Mentoring Versus Being Mentored, in Joe Gallian (Editor), Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, pages 349-354. Here is an extended version (arXiv: physics/0611046).

[1] Porter, Mason A. and Liboff, Richard L. [2001]. The Radially Vibrating Spherical Quantum Billiard, Discrete and Continuous Dynamical Systems, pages 310-318. Y2K International Conference on Differential Equations and Dynamical Systems (May, 2000) [refereed].

Expository Papers

[21] Porter, Mason A. [2023]. Professional Feature -- Mason A. Porter, The Dynamical Systems Web, January 2023.

[20] Porter, Mason A.; Feng, Michelle; and Katifori, Eleni [2023]. The Topology of Data, Physics Today, Vol. 76, No. 1: 36-42.

[19] Baek, Elisa C.; Hyon, Ryan; Porter, Mason A.; and Parkinson, Carolyn [2022]. How Do Our Brains Support Our Friendships?, Frontiers for Young Minds, Vol. 10, No. 64026.2

[18] Rexin, Teresa and Porter, Mason A. [2021]. Finding Your Way: Shortest Paths on Networks, Frontiers for Young Minds, Vol. 9, No. 631045. [This paper has been translated into Portuguese (2022).]

[17] Brooks, Heather Z.; Chen, Yuxin; Feng, Michelle; Kureh, Yacoub H.; Porter, Mason A.; and Volkening, Alexandria [2020]. How to Move a SIAM Minisymposium Online from the Comfort of your Home, DSWeb: The Dynamical Systems Web, July 2020.

[16] Masuda, Naoki and Porter, Mason A. [2021]. The Waiting-Time Paradox, Frontiers for Young Minds, Vol. 9: 582433. [This paper has been translated into Arabic (2021).]

[15] Brooks, Heather Z.; Kanjanasaratool, Unchitta; Kureh, Yacoub H.; and Porter, Mason A. [2021]. Disease Detectives: Using Mathematics to Forecast the Spread of Infectious Diseases, Frontiers for Young Minds, Vol. 9: 577741. [This article has been translated into Arabic (2021) and Hebrew (2022).]

[14] Feng, Michelle; Hickok, Abigail; Kureh, Yacoub H.; Porter, Mason A.; and Topaz, Chad M. [2021]. Connecting the Dots: Discovering the "Shape" of Data, Frontiers for Young Minds, Vol. 9: 551557. [This paper has been translated into Arabic (2021) and Portuguese (2022).]

[13] Feng, Michelle and Porter, Mason A. [2020]. Quantifying "Political Islands" with Persistent Homology, SIAM News, Vol. 53, No. 1: 1, 3.

[12] Holme, Petter; Porter, Mason A.; and Sayama, Hiroki [2019]. Who is the Most Important Character in Frozen? What Networks Can Tell Us about the World, Frontiers for Young Minds, Vol. 7: 99. (You can also read it on their website. The (undirected) data of who talks to whom (and how often) is available on this website.) [This paper has been translated into Arabic (2021), Hebrew (2021), and Portuguese (2022).]

[11] Porter, Mason A. [2018]. WHAT IS... a Multilayer Network?, Notices of the American Mathematical Society, Vol. 65, No. 11: 1419-1423.

[10] Porter, Mason A. [2017]. 88 Lines About 44 Mathematicians, Journal of Humanistic Mathematics, Vol. 7, No. 1: 285-287 [refereed]. (A slightly different version is available at my blog.)

[9] Porter, Mason A.; Kevrekidis, Panayotis G.; and Daraio, Chiara [2015]. Granular Crystals: Nonlinear Dynamics Meets Materials Engineering, Physics Today, Vol. 68, No. 11: 44-50 [refereed].

[8] Porter, Mason A. [2012]. Small-World Network, Scholarpedia, Vol. 7, No. 2: 1739 [refereed].

[7] Zabusky, Norman J. and Porter, Mason A. [2010]. Soliton, Scholarpedia, Vol. 5, No. 8: 2068 [refereed].

[6] Porter, Mason A.; Onnela, Jukka-Pekka; and Mucha, Peter J. [2009]. Communities in Networks, Notices of the American Mathematical Society, Vol. 56, No. 9: 1082-1097, 1164-1166.

[5] Porter, Mason A.; Zabusky, Norman J.; Hu, Bambi; and Campbell, David K. [2009]. Fermi, Pasta, Ulam and the Birth of Experimental Mathematics, American Scientist, Vol. 97, No. 3: 214-221. (May-June issue.) [This article has been translated for the Italian, Spanish, French, and German versions of Scientific American.]

[4] Porter, Mason A. and Lansel, Steven [2006]. Mushroom Billiards, Notices of the American Mathematical Society, Vol. 53, No. 3: 334-337 (cover article).

[3] Porter, Mason A. and Cvitanovic, Predrag [2005]. Ground Control to Niels Bohr: Exploring Outer Space with Atomic Physics, Notices of the American Mathematical Society, Vol. 52, No.9: 1020-1025.

[2] Callaghan, Thomas; Mucha, Peter J.; and Porter, Mason A. [2004]. The Bowl Championship Series: A Mathematical Review, Notices of the American Mathematical Society, Vol. 51, No. 8: 887-893.

[1] Porter, Mason A. and Liboff, Richard L. [2001]. Chaos on the Quantum Scale, American Scientist, Vol. 89, No. 6: 532-537. [This paper was the cover story of the November-December 2001 issue of American Scientist. In 2003, it was reprinted as part of the compilation PowerWeb: Conceptual Physics. In 2003, it was also translated into German and Spanish for the respective versions of Scientific American. This paper grew out of the manuscript An Introduction to Quantum Chaos, though it was rewritten entirely and would not be recognizable in my unpublished preprint.]

Scientific Gallery Publications

[5] Myers, Sean A.; Mucha, Peter J.; and Porter, Mason A. [2011]. Mathematical Genealogy and Department Prestige, Chaos, Vol. 21, No. 4: 041104 (Gallery of Nonlinear Images). 2011 APS March Meeting poster.

[4] Mucha, Peter J. and Porter, Mason A. [2010]. Communities in Multislice Voting Networks, Chaos, Vol. 20, No. 4: 041108 (Gallery of Nonlinear Images). 2010 APS March Meeting poster.

[3] Traud, Amanda L.; Frost, Christina; Mucha, Peter J.; and Porter, Mason A. [2009]. Visualization of Communities in Networks, Chaos, Vol. 19, No. 4: 041104 (Gallery of Nonlinear Images). 2009 APS March Meeting poster. [The software is available from this website.]

[2] Mainiero, Thomas and Porter, Mason A. [2007]. Avoided Level Crossings in the Quantization of a Mixed Regular-Chaotic System, Chaos, Vol. 17, No. 4: 041106 (Gallery of Nonlinear Images). 2007 APS March Meeting video (.wmv format).

[1] Porter, Mason A.; Friend, A. J.; Mucha, Peter J.; and Newman, M. E. J. [2006]. Community Structure in the U.S. House of Representatives, Chaos, Vol. 16, No. 4: 041106 (Gallery of Nonlinear Images). 2006 APS March Meeting poster. (Note: The poster file per se is 45 megs.)

Commentaries, Opinion Articles, Outreach Publications, Book Reviews, and Others

[20] Karniadakis, George Em and Porter, Mason A. [2020]. Andrea L. Bertozzi, the 2019 Ralph E. Kleinman Prize Recipient, DSWeb: The Dynamical Systems Web, January 2020.

[19] Campbell, David K.; Newell, Alan C.; and Porter, Mason A. [2018]. Norman Julius Zabusky (obituary for Norman J. Zabusky), Physics Today, Vol. 71, No. 8: 61.

[18] Campbell, David K.; Newell, Alan C.; and Porter, Mason A. [2018]. Norman J. Zabusky: A Nonlinear Odyssey (obituary for Norman J. Zabusky), DSWeb: The Dynamical Systems Web, April 2018.

[17] Porter, Mason A. [2017]. Interview with Nancy Kopell, DSWeb: The Dynamical Systems Web, April 2017.

[16] Porter, Mason A. and Howison, Sam D. [2018]. The Role of Network Analysis in Industrial and Applied Mathematics, arXiv:1703.06843.

[15] Porter, Mason A. and Bianconi, Ginestra [2016]. Network Analysis and Modelling: Special Issue of European Journal of Applied Mathematics (Editorial), European Journal of Applied Mathematics, Vol. 27: No. 6: 807-811. [You can find the issue online at this website.]

[14] Porter, Mason A. [2016]. Painting by Numbers and Symbols, Somerville Magazine (publication of Somerville College, Oxford) [the 2016 annual issue was a theme issue on visual arts].

[13] Alumni from the Center for Applied Mathematics, Cornell University [2015]. Obituary: Carla Dee Martin (nee Moravitz) [1972--2015], SIAM News, 11/24/15.

[12] Cramer, Catherine; Porter, Mason A.; Sayama, Hiroki; Sheetz, Lori; and Uzzo, Stephen (Eds.) [2015]. Network Literacy: Essential Concepts and Core Ideas. [This document has been translated into 18 languages as of 3/24/16.]

[11] Porter, Mason A. [2014]. What do Rumors, Diseases, and Memes Have in Common?, Oxford University Press blog, 11/03/14.

[10] Harrington, Heather A.; Beguerisse-Díaz, Mariano; Rombach, M. Puck; Keating, Laura M.; and Porter, Mason A. [2013]. Commentary: Teach Network Science to Teenagers, Network Science, Vol. 1, No. 2: 226-247 [refereed]. (Teaching materials are available at this website as well as in the online supplementary information at the journal's website.)

[9] Stumpf, Michael P. H. and Porter, Mason A. [2012]. Critical Truths About Power Laws, Science, Vol. 335, No. 6069: 665-666. [I am also the sole author of a brief addendum (viXra:1403.0931) on allometric scaling.]

[8] Porter, Mason A. [2011]. Bounds and Vision [book review of Atlas of Science], Science, Vol. 331, No. 6018: 676-677.

[7] Porter, Mason A. [2010]. Can Baseball be Used to Teach Statistics? [book review], Notices of the American Mathematical Society, Vol. 57, No. 4: 503-507.

[6] Wirkus, Stephen and Porter, Mason A. [2009]. Comment on "Bifurcation Analysis of Parametrically Excited Bipolar Disorder Model", Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 6: 2844.

[5] Porter, Mason A. [2003]. Quantitative Literacy: Overcoming the Fear of Mathematics, Beverly Hills Weekly, Issue 200, 7/31/03-8/06/03.

[4] Porter, Mason A. [2002]. Graduate Student Seminars: Encouraging Student Participation and Developing Essential Research Skills Using Cookies, Doughnuts, and Mathematics, Notices of the American Mathematical Society, Vol. 49, No. 11: 1357.

[3] Wirkus, Stephen and Porter, Mason A. [2002]. SIAM Hears from Next-Generation Mathematical Biologists At Philadelphia Meeting, SIAM News, Vol. 35, No. 8 (10/02).

[2] Porter, Mason A. [2001]. A Next-Generation Scientist's Impression: Recent Trends in Nonlinear Dynamics, SIAM News, Vol. 34, No. 4 (5/01).

[1] Mayer-Kress, Gottfried and Porter, Mason A. [2001]. Remarks on Whale Cultures from a Complex Systems Perspective, Behaviorial and Brain Sciences Vol. 24, No. 2: 344.

Study Group Papers, Technical Reports, and White Papers

[6] Lindstrom, Michael R.; Porter, Mason A.; Shoenhard, Hannah; Trick, Sarah; Valles, Thomas; and Zinski, Joseph M. [2020]. Networks of Necessity: Preventing COVID-19 Among Disabled People and Their Caregivers, UCLA Computational and Applied Mathematics Reports, 20-33.

[5] Porter, Mason A.; Spencer, David J.; and Hung, Cu Hauw [2020]. Automatic Generation of School Bus Routes in Los Angeles, UCLA Institute of Transportation Studies (ITS) Report.

[4] Korniyenko, Yevgeniya; Patnam, Manasa; del Rio-Chanona, Rita Maria; and Porter, Mason A. [2018]. Evolution of the Global Financial Network and Contagion: A New Approach, International Monetary Fund (IMF) Working Paper, WP/18/113.

[3] Fourth Montreal Industrial Problem Solving Workshop [2011]. Optimization of the Temporal Shape of Laser Pulses for Ablation. Problem proposed by Institut Nationale d'Optique.

[2] Second Montreal Industrial Problem Solving Workshop [2008]. Optimal Retrofit of a Heat Recovery Network at a Pulp and Paper Mill for Minimizing Energy and Water Consumption. Problem proposed by Canmet Energy Technology Centre, Varennes, Natural Resources Canada.

[1] European Study Group in Industry 64 [2008]. Overcoming Data Sparsity & Bias in Order to Recommend from the "Long Tail". Problem proposed by Unilever UK.

Software (in addition to ones associated with refereed publications)

[1] Lansel, Steven and Porter, Mason A. [2004]. Billiard Simulator for MATLAB (8/24/06, with a 12/01/07 bug fix). Kris Kazlowski provided updates for the 2006 Edition (11/09/06, with a 12/01/07 bug fix). Also download the original documentation (5/02/04) and the Appendix on 2006 updates (9/14/06). There is now a 2016 update (tested on R2016a of MATLAB) by Mark Demers, Caitlin Keady, and Sam King.

Letters and Other Scholarly and Educational Works

[4] Porter, Mason A. [2011]. Letter proposing creation of the journal SIAM Letters, in "Letters to the Editor", SIAM News, Vol. 44, No. 6 (7-8/11).

[3] Porter, Mason A. [2002]. A Hitchhiker's Guide to LaTeX (or how I learned to stop worrying and love writing my dissertation), preprint.

[2] Marko, Matus; Porter, Mason A.; Probst, Andrej; Gershenson, Carlos; and Das, Atin [2002]. Transforming the World Wide Web Into a Complexity-Based Semantic Network, InterJournal of Complex Systems, 568.

[1] Gershenson, Carlos; Porter, Mason A.; Probst, Andrej; Marko, Matus; and Das, Atin [2002]. A Study on the Relevance of Information in Discriminative and Non-Discriminative Media, InterJournal of Complex Systems, 533. [You can find a version of this article on the ArXiv.]