Publications of Andrea L Bertozzi

Link to my publications on Google Scholar

Link to my publications on Researcher ID

Link to publications on MathSciNet - requires database access and only includes about 2/3 of my papers, those that are the most mathematical


  1. Andrew J. Majda and Andrea L. Bertozzi, Vorticity and Incompressible Flow, Cambridge Univ. Press, 2002. [link to google books].


  1. D. Marthaler, A. Bertozzi, and I. Schwartz, Levy searches based on a priori information: The Biased Levy Walk, 2004.
Papers Submitted
  1. D. J. Arnold, D. Fernandez, R. Jia, C. Parkinson, D. Tonne, Y. Yaniv, A. L. Bertozzi, and S. J. Osher, Modeling environmental crime in protected areas using the level set method, submitted 2018.
  2. Zach Boyd, Maston A. Porter, and Andrea L. Bertozzi, Stochastic Block Models are a Discrete Surface Tension, submitted 2018.
  3. Huimin Yu, Zebin Wu, Jie Wei, Yang Xu, Jocelyn Chanussot, Andrea L. Bertozzi, Linlin Shi, Zhihui Wei, GPU parallel implementation of gas plume detection in hyperspectral video sequences, submitted 2018.
  4. P. Jeffrey Brantingham, Baichuan Yuan, Nick Sundback, Frederic Paik Schoenberg, Andrea Bertozzi, Joshua Gordon, Jorja Leap, Kristine Chan, Molly Kraus, Sean Malinowski, Denise Herz, Rapid community intervention in response to gang violent crime directly reduces gang retaliation, submitted, 2017

Papers Accepted

  1. Jacob D. Moorman, Qinyi Chen, Thomas K. Tu, Zachary M. Boyd, Andrea L. Bertozzi, Filtering Methods for Subgraph Matching on Multiplex Networks, to appear in GTA3 workshop in Seattle BIG DATA conference, 2018.
  2. Christian Parkinson, David Arnold, Andrea L. Bertozzi, Yat Tin Chow, and Stanley J. Osher, Optimal Human Navigation in Steep Terrain: A Hamilton-Jacobi-Bellman Approach, accepted in Comm. Math. Sci., 2018
  3. E. Merkurjev, A. L. Bertozzi, and F. Chung, A semi-supervised heat kernel pagerank MBO algorithm for data classification, accepted in Comm. Math. Sci, 2018.
  4. Travis R. Meyer, D. Balagué, M. Camacho-Collados, Hao Li, Katie Khuu, P. Jeffrey Brantingham, and Andrea L. Bertozzi, A year in Madrid as described through the analysis of geotagged Twitter data, to appear in Environment and Planning B: Urban Analytics and City Science, 2018.
  5. Zhaoyi Meng, Javier Sanchez, Jean-Michel Morel, Andrea L Bertozzi, P. Jeffrey Brantingham, Ego-motion Classification for Body-worn Videos, accepted in 2017 to the Proceedings of the 2016 Conference on Imaging, vision and learning based on optimization and PDEs, Bergen, Norway.
  6. Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi and Martin B. Short, A Stochastic-Statistical Residential Burglary Model with Finite Size Effects, accepted for publication, 2018
Papers Published (reverse chronological order)
  1. Z. Boyd, E. Bae, X.C. Tai, and A. L. Bertozzi, Simplified energy landscape for modularity using total variation, SIAM J. Applied Math, 78(5), pp. 2439-2464, 2018, UCLA CAM preprint 17-47
  2. B. Wang, X. Luo, F. Zhang, B. Yuan, A. L. Bertozzi, and P. J. Brantingham, Graph-Based Deep Modeling and Real Time Forecasting of Sparse Spatio-Temporal Data, 4th Workshop on Mining and Learning from Time Series (MileTS), at KDD London, August 2018.
  3. Andrea L. Bertozzi, Graphical Models in Machine Learning, Networks, and Uncertainty Quantification, Proc. Int. Cong. of Math., Rio de Janeiro, Vol. 3 pp. 3853-3880, 2018.
  4. Chaohao Pan, Bo Li, Chuntian Wang, Yuqi Zhang, Nathan Geldner, Li Wang, and Andrea L. Bertozzi, Crime modeling with truncated L\'evy flights for residential burglary models, Mathematical Models and Methods in Applied Sciences, 28(9), pp. 1857-1880, 2018
  5. Brendon Anderson, Eva Loeser, Marissa Gee, Felix Ren, Swagata Biswas, Olga Turanova, Matt Haberland, and Andrea L. Bertozzi, Quantitative Assessment of Robotic Swarm Coverage, Proc. 15th Int. Conf. on Informatics in Control, Automation, and Robotics (ICINCO 2018), vol. 2, pp. 91-101, 2018.
  6. A. Mavromoustaki, L. Wang, J. T. Wong, and A. L. Bertozzi, Surface tension effects for particle settling and resuspension in viscous thin films, Nonlinearity, 31(7), pp. 3151-3173, 2018. preprint version.
  7. Y. van Gennip, B. Hunter, A. Ma, D. Moyer, R. de Vera, and A. L. Bertozzi, Unsupervised record matching with noisy and incomplete data, International Journal of Data Science and Analytics, 6, pp. 109-129, 2018. ArXiv preprint
  8. Fangbo Zhang, Andrea L. Bertozzi, Karthik Elamvazhuthi, and Spring Berman, Performance Bounds on Spatial Coverage Tasks by Stochastic Robotic Swarms, IEEE Trans. Aut. Control, 63(6), 2018, pp. 1473-1488.
  9. Yang Xu, Zebin Wu, Jocelyn Chanussot, Mauro Dalla Mura, Andrea L. Bertozzi, and Zhihui Wei, Low-Rank Decomposition and Total Variation Regularization of Hyperspectral Video Sequences, IEEE Transactions on Geoscience and Remote Sensing, 56(3), pp. 1680-1694, 2018
  10. A. L. Bertozzi, X. Luo, A. M. Stuart, and K. C. Zygalakis, Uncertainty Quantification in the Classification of High Dimensional Data, SIAM/ASA J. Uncertainty Quantification, 6(2), pp.568-595, 2018.
  11. D. A. Vaughn, W. K . van Deen, W. T. Kerr, T. R. Meyer, A. L. Bertozzi, D. W. Hommes, and M. S. Cohen, Using insurance claims to predict and improve hospitalizations and biologics use in members with inflammatory bowel diseases Journal of Biomedical Informatics, Volume 81, pp. 93-101, 2018.
  12. Yonatan Dukler, Yurun Ge, Yizhou Qian, Shintaro Yamamoto, Baichuan Yuan, Long Zhao, Andrea L. Bertozzi, Blake Hunter, Rafael Llerena, and Jesse T. Yen, Automatic decomposition and mitral valve segmentation of cardiac ultrasound time series data, Proc. SPIE conference on medical imaging, 2018.
  13. Da Kuang, P. Jeffrey Brantingham, Andrea L. Bertozzi, Crime Topic Modeling, Crime Sci. 6:12, 2017,
  14. Da Kuang, Zuoqiang Shi, Stanley Osher, and Andrea Bertozzi, A Harmonic Extension Approach for Collaborative Ranking, 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA), Cancun, Mexico, December 4-7, pages 318-321, 2017.
  15. B. Wang, D. Zhang, D. Zhang, P. J. Brantingham, and A. L. Bertozzi, Deep Learning for Real Time Crime Forecasting 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA), Cancun, Mexico, December 4-7, pages 330-333, 2017.
  16. Hanjun Li, Chunhan Feng, Henry Ehrhard, Yijun Shen, Bernardo Cobos, Fangbo Zhang, Karthik Elamvazhuthi, Spring Berman, Matt Haberland, Andrea L. Bertozzi, Decentralized Stochastic Control of Robotic Swarm Density: Theory, Simulation, and Experiment, 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) September 24-28, 2017, Vancouver, BC, Canada, pp. 4341-4347, 2017.
  17. Geoffrey Iyer, Jocelyn Chanussot, Andrea L. Bertozzi, A graph-based approach for feature extraction and segmentation in multimodal images, ICIP conference, pp. 3320-3324, Bejing, Sept. 2017.
  18. R. Archibald, F. Bao, A. L. Bertozzi, A. Gelb, C. Hauck, K. Law, S. Osher, H. Tran, C. Webster, S. Wise, and G. Zhang, Exascale Data Analytics for the DOE, position paper, 6 pages, available online.
  19. Z. Meng, E. Merkurjev, A. Koniges, and A. L. Bertozzi, Hyperspectral Image Classification Using Graph Clustering Methods, Image Processing Online (with code), 7 (2017), pp. 218-245, 2017.
  20. Guillaume Tochon, Jocelyn Chanussot, Mauro Dalla Mura and Andrea. L. Bertozzi, Object tracking by hierarchical decomposition of hyperspectral video sequences: application to chemical gas plume tracking, IEEE Transactions on Geoscience and Remote Sensing, 55(8), pp. 4576-4585, 2017.
  21. Ekaterina Merkurjev, Andrea Bertozzi, Xiaoran Yan, and Kristina Lerman, Modified Cheeger and Ratio Cut Methods Using the Ginzburg-Landau Functional for Classification of High-Dimensional Data, Inverse Problems, 33(7), 074003, 2017. preprint version
  22. D. Zosso, A. Jing, J. Stevick, N. Takaki, M. Weiss, L. S. Slaughter, H. H. Cao, P. S. Weiss, A. L. Bertozzi, Image Segmentation with Dynamic Artifacts Detection and Bias Correction, AIMS Inverse Problems and Imaging, 11(3) 2017, pp. 577-600; doi:10.3934/ipi.2017027; original preprint version.
  23. D. Zosso, K. Dragomiretskiy, A. L. Bertozzi, and P. S. Weiss, Two-Dimensional Compact Variational Mode Decomposition, JMIV, 58(2), pp. 294-320, 2017.
  24. X. Luo and A. L. Bertozzi, Convergence Analysis of the Graph Allen-Cahn Scheme J. Stat. Phys. 167(3), pp. 934-958, 2017, preprint version.
  25. Wei Zhu, Victoria Chayes, Alexandre Tiard, Stephanie Sanchez, Devin Dahlberg, Da Kuang, Andrea L. Bertozzi, Stanley Osher, Dominique Zosso, Unsupervised Classification in Hyperspectral Imagery with Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm, IEEE Trans. Geo. Remote Sensing, 55(5), pp. 2786-2798, 2017.
  26. Victoria Chayes, Kevin Miller, Rasika Bhalerao, Jiajie Luo, Wei Zhu, Andrea L. Bertozzi, Wenzhi Liao, Stanley Osher, Pre-processing and classification of hyperspectral imagery via selective inpainting, ICASSP 2017
  27. Baichuan Yuan, Sathya R Chitturi, Geoffrey Iyer, Nuoyu Li, Xiaochuan Xu, Ruohan Zhan, Rafael Llerena, Jesse T Yen, Andrea L Bertozzi, Machine Learning for Cardiac Ultrasound Time Series Data, Proc. SPIE 10137, Medical Imaging 2017: Biomedical Applications in Molecular, Structural, and Functional Imaging, 101372D, preprint version.
  28. Dominik Ziegler, Travis R. Meyer, Andreas Amrein, Andrea L. Bertozzi, and Paul D. Ashby, Ideal Scan Path for High-Speed Atomic Force Microscopy, IEEE/ASME Trans. Mechatronics, 22(1), pp. 381-391, 2017, preprint.
  29. Li Wang, Martin Short, and Andrea L Bertozzi, Efficient numerical methods for multiscale crowd dynamics with emotional contagion. Math. Models Methods Appl. Sci. 27 (2017), no. 1, 205-230. preprint version., Clarivate Analytics "highly cited" paper for 2017.
  30. Andrea Bertozzi, John Garnett, Thomas Laurent, Joan Verdera, The regularity of the boundary of a multidimensional aggregation patch, SIAM J. Math. Anal., 48(6), pp. 3789-3819, 2016; Preprint available on the arxiv.
  31. Zhaoyi Meng, Alice Koniges, Yun (Helen) He, Samuel Williams, Thorsten Kurth, Brandon Cook, Jack Deslippe, and Andrea L. Bertozzi, OpenMP Parallelization and Optimization of Graph-based Machine Learning Algorithms, In Maruyama N. de Supinksi B., and Wahib, M. (eds), IWOMP 2016. Lecture Notes in Computer Science, vol 9930, Springer. preprint version from International Workshop on Open MP (IWOMP), 2016
  32. Andrea L. Bertozzi, Designer shocks for carving out microscale surface morphologies, Proc. Nat. Acad. Sci., 113(41), pp. 11384-11386, 2016. commentary.
  33. Yang Yu, Zebin Wu, Zhihui Wei, Mauro Dalla Mura, Jocelyn Chanussot, and Andrea Bertozzi, Gas Plume Detection in Hyperspectral Video Sequence Using Low Rank Representation, Proc. IEEE Int. Conf. Imag. Proc. Phoenix, pp. 2221-2225, 2016.
  34. Travis R. Meyer, Lucas Drumetz, Jocelyn Chanussot, Andrea L. Bertozzi, and Christian Jutten, Hyperspectral unmixing with material variability using social sparsity, Proc. IEEE Int. Conf. Imag. Proc. pp. 2187-2191, Phoenix, 2016.
  35. E. Lai, D. Moyer, B. Yuan, E. Fox, B. Hunter, A. L. Bertozzi, and P. J. Brantingham, Topic Time Series Analysis of Microblogs, IMA Journal of Applied Mathematics, 81(3) pp. 409-431, 2016.
  36. Sean Wilson, Ruben Gameros, Michael Sheely, Matthew Lin, Kathryn Dover, Robert Gevorkyan, Matt Haberland, Andrea Bertozzi, and Spring Berman, Pheeno, a Versatile Swarm Robotic Research and Education Platform, Sean Wilson, Robotics and Automation Letters (RA-L), 1(2), pp. 884-891, 2016. preprint version
  37. Jeffrey T. Wong and Andrea L. Bertozzi, A conservation law model for bidensity suspensions on an incline Physica D, Volume 330, 1 September 2016, Pages 47-57, preprint version.
  38. E. W. Fox, M. B. Short, F. P. Schoenberg, K. D. Coronges, and A. L. Bertozzi, Modeling e-mail networks and inferring leadership using self-exciting point processes, J. Am. Stat. Assoc., Volume 111, 2016 - Issue 514, pp. 564-584. accepted author version
  39. Andrea L. Bertozzi and Arjuna Flenner, Diffuse Interface Models on Graphs for Classification of High Dimensional Data, SIAM Review, 58(2), pp. 293-328, 2016.
  40. John C. Thomas, Dominic P Goronzy, Konstantin Dragomiretskiy, Dominique Zosso, Jerome Gilles, Stanley J. Osher, Andrea Bertozzi, and Paul S. Weiss, Mapping Buried Hydrogen-Bonding Networks, ACS Nano, 10(5), pp. 5445-5451, 2016.
  41. Charles Z. Marshak, M. Puck Rombach, Andrea L. Bertozzi, and Maria R. D'Orsogna, Growth and containment of a hierarchical criminal network Phys. Rev E, 022308, Feb. 23, 2016. preprint version.
  42. K. Craig and A. L. Bertozzi, A blob method for the aggregation equation, Math. Comp. 85, 2016, pp. 1681-1717, preprint version, ArXiv:1405.6424, first published electronically Dec. 4, 2015.
  43. Joseph R. Zipkin, Frederic P. Schoenberg, Kathryn Coronges, and Andrea L. Bertozzi, Point-process models of social network interactions: parameter estimation and missing data recovery, Eur. J. Appl. Math., 27(3) pp. 502-529, 2016, published online Oct. 8, 2015, Preprint Version .
  44. G.O. Mohler, M.B. Short, S. Malinowski, M. Johnson, G.E. Tita, A.L. Bertozzi, and P.J. Brantingham, Randomized controlled field trials of predictive policing, J. Am. Stat. Assoc., 111(512), 1399-1411, (2015).
  45. Jing Qin, Thomas Laurent, Kevin Bui, Ricardo V. Tan, Jasmine Dahilig, Shuyi Wang, Jared Rohe, Justin Sunu, Andrea L. Bertozzi, Detecting Plumes in LWIR Using Robust Nonnegative Matrix Factorization with Graph-based Initialization, in Proceedings of SPIE Defense and Security, Baltimore MD April 2015.
  46. Mitchell Horning, Matthew Lin, Srinivasan Siddarth, Simon Zou, Matt Haberland, Ke Yin, Andrea L. Bertozzi, Compressed Sensing Environmental Mapping by an Autonomous Robot, Proceedings of the Second International Workshop on Robotic Sensor Networks, Seattle WA, April 13, 2015.
  47. E. Merkurjev, E. Bae, A.L. Bertozzi and X.-C. Tai, Global binary optimization on graphs for classification of high dimensional data, J. Math. Imag. Vis., 52(3), pp. 414-435, 2015, preprint version.
  48. A. Koniges, N. Masters, A. Fisher, D. Eder, W. Liu, R. Anderson, D. Benson, and A. L. Bertozzi, Multi-material ALE with AMR for Modeling Hot Plasmas and Cold Fragmenting Materials, Plasma Science and Technology, Vol.17, No.2, p. 117-128, 2015
  49. Andrea L. Bertozzi, James von Brecht, Hui Sun, Theodore Kolokolnikov, and David Uminsky, Ring Patterns and their Bifurcations in a Nonlocal Model of Biological Swarms, Comm. Math. Sci., special issue in honor of George Papanicolau's birthday, Vol. 13, No. 4, pp. 955-985, 2015.
  50. S. Lee, J. Wong, and A. L. Bertozzi, Equilibrium theory of bidensity particle-laden flow on an incline, Mathematical Modelling and Numerical Simulation of Oil Pollution Problems, The Reacting Atmosphere Volume 2, pp. 85-97, Mattias Ehrhardt, Editor, 2015. author final preprint
  51. L. Wang, A. Mavromoustaki, A. L. Bertozzi, G. Urdaneta, and K. Huang, Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film, Physics of Fluids, 27, 033301, 2015. preprint version.
  52. Andrea L. Bertozzi, Jesus Rosado, Martin B. Short and Li Wang, Contagion shocks in one dimension, J. Stat. Phys., 158(3), pp. 647-664, 2015. preprint version.
  53. Huiyi Hu, Justin Sunu, and Andrea L. Bertozzi, Multi-class Graph Mumford-Shah Model for Plume Detection using the MBO scheme, Proceedings of the EMMCVPR conference in Hong Kong 2015, pp. 209-222, X. -C. Tai et al (Eds), Springer Lecture Notes in Computer Science vol. 8932.
  54. James von Brecht, Benjamin Sudakov, and A. L. Bertozzi, Swarming on Random Graphs II, J. Stat. Phys., 158(3), pp. 699-734, 2015, preprint version.
  55. Subramanian Ramakrishnan, Thomas Laurent, Manish Kumar, and Andrea L. Bertozzi, A spatiotemporal chemotactic model for ant foraging, Modern Physics Letters B, 20(30), 1450238, 9 pages, 2014. DOI: 10.1142/S0217984914502388, preprint version
  56. E. Murkerjev, J. Sunu, and A.L. Bertozzi, Graph MBO method for multiclass segmentation of hyperspectral stand-off detection video Proc. Int. Conf. Image Proc. (ICIP) Paris 2014, pp. 689-693. preprint version
  57. J. T. Woodworth, G. O. Mohler, A. L. Bertozzi and P. J. Brantingham, Nonlocal Crime Density Estimation Incorporating Housing Information, Phil. Trans. Roy. Soc. A, 372(2028), 20130403, 2014.
  58. G. Tochon, J. Chanussot, J. Gilles, M. Dalla Mura, J.-M. Chang, and A. L. Bertozzi, Gas Plume Detection and Tracking in Hyperspectral Video Sequences using Binary Partition Trees, IEEE Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS 2014), Lausanne: Switzerland (2014).
  59. J. Sunu, J. M. Chang, and A. L. Bertozzi, Simultaneous spectral analysis of multiple video sequence data for LWIR gas plumes, SPIE Defense and Security Conference, Baltimore, MD, May 2014.
  60. Yves van Gennip, Nestor Guillen, Braxton Osting, and Andrea L. Bertozzi, Mean curvature, threshold dynamics, and phase field theory on finite graphs, Milan J. of Math, 82(1), pp. 3-65, 2014, preprint version .
  61. A. Mavromoustaki and A. L. Bertozzi, Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows, J. Eng. Math., 88(1), pp. 29-48, 2014, preprint version .
  62. Sungyon Lee, Yvonne Stokes, and Andrea L. Bertozzi, Behavior of a particle-laden flow in a spiral channel, Physics of Fluids 26, 043302, 2014, preprint version.
  63. Andrea L. Bertozzi, Preface to special issue on mathematics of social systems, Discrete and Continuous Dynamical Systems B, 19(5), page i-v, July 2014, preprint version.
  64. Alan Mackey, Theodore Kolokolnikov, and Andrea L. Bertozzi, Two-species particle aggregation and stability of co-dimension one solutions, Discrete and Continuous Dynamical Systems B, 19(5), pp. 1411-1436, July 2014, preprint version.
  65. J. Zipkin, M. B. Short, A. L. Bertozzi, Cops on the dots in a mathematical model of urban crime and police response, Discrete and Continuous Dynamical Systems B, 19(5), pp. 1479-1506, July 2014, preprint version.
  66. S. Lee, A. Mavromoustaki, G. Urdaneta, K. Huang, and A. L. Bertozzi, Experimental investigation of bidensity slurries on an incline, Granular Matter, 16(2), April 2014, pp. 269-274, preprint version.
  67. Li Wang and Andrea L. Bertozzi, Shock solutions for high concentration particle-laden thin films, SIAM J. Appl. Math., 74(2), pp. 322-344, 2014.
  68. Cristina Garcia-Cardona, Ekaterina Merkurjev, Andrea L. Bertozzi, Arjuna Flenner and Allon G. Percus, Multiclass Data Segmentation Using Diffuse Interface Methods on Graphs, IEEE Trans. Pattern Anal. Mach. Int., 36(8), pp. 1600-1613, 2014, preprint version
  69. E. Merkurjev, C. Garcia, A. L. Bertozzi, A. Flenner, A. Percus Diffuse interface methods for multiclass segmentation of high-dimensional data Applied Math. Letters, 33, July, 2014, pp. 29-34, preprint version.
  70. Travis R. Meyer, Dominik Ziegler, Christoph Brune, Alex Chen, Rodrigo Farnham, Nen Huynh, Jen-Mei Chang, Andrea Bertozzi, and Paul D. Ashby, Height Drift Correction in Non-Raster Atomic Force Microscopy, Ultramicroscopy, 137, pp. 48-54, 2014.
  71. Huiyi Hu, Thomas Laurent, Mason A. Porter, Andrea L. Bertozzi, A Method Based on Total Variation for Network Modularity Optimization using the MBO Scheme, SIAM J. Appl. Math., 73(6), pp. 2224-2246, 2013.
  72. A. Koniges, W. Liu, J. Barnard, A. Friedman, G. Logan, D. Eder, A. Fisher, N. Masters, and A. Bertozzi, Modeling Warm Dense Matter Experiments using the 3D ALE-AMR Code and the Move Toward Exascale Computing, EPJ Web of Conferences 59, 09006, 2013, Proceedings of the Seventh International Conference on Inertial Fusion Sciences and Applications (IFSA), 2011.
  73. E. Merkurjev, T. Kostic, and A. L. Bertozzi, An MBO Scheme on Graphs for Segmentation and Image Processing, SIAM J. Imaging Sci. 6(4), 1903-1930, 2013.
  74. Yao Yao and Andrea L. Bertozzi, Blow-up dynamics for the aggregation equation with degenerate diffusion, Physica D, 260, pp. 77-89, 2013, special issue on Emergent Behaviour in Multi-particle Systems with Non-local Interactions. preprint version.
  75. Yifei Lou, Sung Ha Kang, Stefano Soatto, and Andrea L. Bertozzi, Video Stabilization of Atmospheric Turbulence Distortion, Inverse Problems in Imaging, 7(3) pp. 839-861, 2013, Special Issue in honor of Tony Chan.
  76. Dominik Ziegler, Travis R. Meyer, Rodrigo Farnham, Christophe Brune, Andrea L. Bertozzi and Paul D. Ashby, Improved accuracy and speed in scanning probe microscopy by image reconstruction from non-gridded position sensor data, Nanotechnology, 24, 335703, 2013.
  77. Mario Micheli, Yifei Lou, Stefano Soatto, and Andrea L. Bertozzi, A linear systems approach to imaging through turbulence, J. Math. Imag. Vis., 48(1), pp. 185-201,2013, preprint version.
  78. T. Gerhart, J. Sunu, L. Lieu, E. Merkurjev, J.-M. Chang, J. Gilles, A. L. Bertozzi, Detection and tracking of gas plumes in LWIR hyperspectral video sequence data, SPIE Conference on Defense Security and Sensing, 2013, Baltmore, MD, April 29-May 3, 2013.
  79. Rachel A. Hegemann, Erik A. Lewis, and Andrea L. Bertozzi, An "Estimate & Score Algorithm" for simultaneous parameter estimation and reconstruction of missing data on social networks Security Informatics, 2:1, 2013.
  80. Julia Dobrosotskaya and A. L. Bertozzi, Analysis of the wavelet Ginzburg-Landau energy in image applications with edges SIAM J. Imaging Sciences, 6(1), 698-729, 2013. preprint version.
  81. Yves van Gennip, Blake Hunter, Raymond Ahn, Peter Elliott, Kyle Luh, Megan Halvorson, Shannon Reid, Matt Valasik, James Wo, George E. Tita, Andrea L. Bertozzi, P. Jeffrey Brantingham, Community detection using spectral clustering on sparse geosocial data, SIAP, 73(1), pp. 67-83, 2013. Arxiv version
  82. N. Murisic, B. Pausader, D. Peschka, and A. L. Bertozzi, Dynamics of particle settling and resuspension in viscous liquid films , J. Fl. Mech., vol. 717, pp. 203-231, 2013.
  83. James von Brecht Theodore Kolokolnikov Andrea L. Bertozzi Hui Sun, Swarming on Random Graphs, 151(1-2), J. Stat. Phys., pp. 150-173, 2013.
  84. Alex Chen, Andrea L. Bertozzi, Paul D. Ashby, Pascal Getreuer, and Yifei Lou, Enhancement and Recovery in Atomic Force Microscopy Images, in Excursions in Harmonic Analysis, Volume 2, Andrews, T.D.; Balan, R.; Benedetto, J.J.; Czaja, W.; Okoudjou, K.A. (Eds.), Birkhauser Basel, 2013, pp. 311-332. preprint version.
  85. James von Brecht and Andrea L. Bertozzi, Well-posedness theory for aggregation sheets, Comm. Math. Phys., 319(2), pp. 451-477, 2013, ( preprint version )
  86. Tijana Kostic and Andrea Bertozzi, Statistical Density Estimation using Threshold Dynamics for Geometric Motion, J. Sci. Comp., 54(2-3), pp. 513-530, 2013, special issue in honor of S. Osher's 70th Birthday. preprint version.
  87. David S. Hermina Martinez, Maximillian Gonzalez, Xinheng Huang, Benjamin Irvine, Chung H. Hsieh, Yuan R. Huang, Martin B. Short and Andrea L. Bertozzi, An Economical Testbed for Cooperative Control and Sensing Strategies of Robotic Micro-vehicles, in Informatics in Control, Automation, and Robotics, Springer Lecture Notes in Electrical Engineering 2013, vol. 174, Part 3, pages 65-75, DOI: 10.1007/978-3-642-31353-0_5.
  88. B. Hunter, Y. Lou, A.L. Bertozzi, A spectral graph based approach to analyze hyperspectral data, IEEE Applied Imagery Pattern Recognition, Washington DC, 2012.
  89. H. Hu, Y. van Gennip, B. Hunter, A.L. Bertozzi, M.A. Porter, Multislice Modularity Optimization in Community Detection and Image Segmentation, IEEE International Conference on Data Mining (Brussels), ICDM'12, pp. 934-936, 2012.
  90. Andrea L. Bertozzi and Arjuna Flenner, Diffuse interface models on graphs for classification of high dimensional data, Multiscale Modeling and Simulation, 10(3), pp. 1090-1118, 2012.
  91. Miranda Holmes-Cerfon, Wei Zhou, Andrea L. Bertozzi, Michael P. Brenner, and Michael J. Aziz, Development of Knife-Edge Ridges on Ion-Bombarded Surfaces, Applied Physics Letters, 101, 143109, 2012.
  92. Sungyon Lee, Yvonne Stokes, and Andrea L. Bertozzi, A model for particle laden flow in a spiral concentrator, Proceedings of International Conference on Theoretical and Applied Mechanics, 2012 in Beijing.
  93. Hui Sun, David Uminsky, and Andrea L. Bertozzi, Stability and clustering of self-similar solutions of aggregation equations J. Math. Phys. 53, 115610 (2012). preprint version.
  94. Yves van Gennip and Andrea L. Bertozzi, Gamma-convergence of graph Ginzburg-Landau functionals, Advances in Differential Equations, 17(11-12), 2012, pp. 1115-1180.
  95. Yanghong Huang, Thomas P. Witelski, and Andrea L. Bertozzi, Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions, Applied Mathematics Letters, 25(12), p. 2317-2321, 2012, preprint version.
  96. Laura M. Smith, Andrea L. Bertozzi, P. Jeffrey Brantingham, George E. Tita, and Matthew Valasik, Adaptation of an Ecological Territorial Model to Street Gang Spatial Patterns in Los Angeles Discrete and Continuous Dynamical Systems A, 32(9), pp. 3223 - 3244, 2012.
  97. Jérôme Gilles, Balaji R. Sharma, Will Ferenc, Hannah Kastein, Lauren Lieu, Ryan Wilson, Yuan Rick Huang, Andrea L. Bertozzi, Baisravan HomChaudhuri, Subramanian Ramakrishnan, and Manish Kumar, Robotic Swarming over the Internet, Proceedings of the 2012 American Control Conference, pp. 6065-6070, preprint version.
  98. Matthew Keeter, Daniel Moore, Ryan Muller, Eric Nieters, Jennifer Flenner, Susan E. Martonosi, Andrea L. Bertozzi, Allon G. Percus, Rachel Levy, Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed, Proceedings of the 2012 American Control Conference, pp 3154-3160, 2012. preprint version
  99. Andrea L. Bertozzi, John B. Garnett, and Thomas Laurent, Characterization of radially symmetric finite time blowup in multidimensional aggregation equations, SIAM J. Math. Anal., 44(2), pp. 651-681, 2012, preprint version.
  100. James von Brecht, David Uminsky, Theodore Kolokolnikov, and Andrea L. Bertozzi, Predicting pattern formation in particle interactions M3AS, vol. 22, Supp. 1, 1140002, 2012, preprint version, special issue on Mathematics and Complexity of Multi-Particle Systems; Thomson-Reuters 2015 "highly cited paper".
  101. Andrea L. Bertozzi, Thomas Laurent, and Flavien Leger, Aggregation and Spreading via the Newtonian Potential: The Dynamics of Patch Solutions M3AS,vol. 22, Supp. 1, 2012, special issue on Mathematics and Complexity of Multi-Particle Systems, 2012, DOI 10.1142/S0218202511400057, preprint version.
  102. Yanghong Huang and Andrea L. Bertozzi, Asymptotics of blowup solutions for the aggregation equation Discrete and Continuous Dynamical Systems Series B, pages 1309 - 1331, Volume 17, Issue 4, June 2012, preprint version.
  103. Hui Sun, David Uminsky, and Andrea L. Bertozzi, A generalized Birkhoff-Rott Equation for 2D Active Scalar Problems, SIAM J. Appl. Math, 72(1), pp. 382-404, 2012, preprint version.
  104. Andrea Bertozzi, Theory, Modeling and Experiments Shed Light on Oil - Sand Mixtures, SIAM News, January/February, 2012, p. 3,6.
  105. Michael Moeller, Todd Wittman, Andrea L. Bertozzi, and Martin Burger A Variational Approach for Sharpening High Dimensional Images, SIAM J. Imaging Sci., 5, pp. 150-178, 2012, preprint version.
  106. W. Liu, A. L. Bertozzi, and T. Kolokolnikov, Diffuse interface surface tension models in an expanding flow, Comm. Math. Sci., 10(1), pp. 387-418, 2012.
  107. Alexey Stomakhin, Martin B. Short, and Andrea L. Bertozzi, Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions, Inverse Problems, 27(11), 115013, 2011. preprint version
  108. E. Lewis, G. Mohler, P. J. Brantingham, and A. L. Bertozzi, Self-Exciting Point Process Models of Civilian Deaths in Iraq, Security Journal, 25, 244-264, 2012, doi:10.1057/sj.2011.21, published online Sept. 19, 2011.
  109. M. Gonzalez, X. Huang, B. Irvine, D. S. Hermina Martinez, C. H. Hsieh, Y. R. Huang, M. B. Short, and A. L. Bertozzi A Third Generation Micro-vehicle Testbed for Cooperative Control and Sensing Strategies published in the Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), pages 14-20, 2011. preprint version without watermark
  110. Matthew R. Mata and Andrea L. Bertozzi, A Numerical Scheme for Particle-Laden Thin Film Flow in two dimensions J. Comp. Phys., Vol. 230, No. 16, 10 July 2011, Pages 6334-6353, preprint version.
  111. Theodore Kolokolnikov, Hui Sun, David Uminsky, Andrea L. Bertozzi, Stability of ring patterns arising from 2D particle interactions, Phys. Rev. E, Rapid Communications, 84(1), 015203(R), 2011. preprint version
  112. R. A. Hegemann, L. M. Smith, A. Barbaro, A. L. Bertozzi, S. Reid, and G. E. Tita, Geographical influences of an emerging network of gang rivalries, Physica A, Volume 390, Issues 21-22, 15 October 2011, Pages 3894-3914, preprint version.
  113. N. Murisic, J. Ho, V. Hu, P. Latterman, T. Koch, K. Lin, M. Mata, and A. Bertozzi, Particle-laden viscous thin-film flows on an incline: experiments compared with an equilibrium theory based on shear-induced migration and particle settling, Physica D, 240(20), pp. 1661-1673, 2011, Special Issue: Fluid Dynamics: From Theory to Experiment Edited by Andrew Gilbert, Isaac Klapper, Jean-Luc Thiffeault and Jane Wang , preprint version.
  114. W. Gao and A. L. Bertozzi, Level set based multispectral segmentation with corners, SIAM J. Imag. Sci., 4(2), pp. 597-617, 2011. preprint version.
  115. George O. Mohler, Andrea L. Bertozzi, Thomas A. Goldstein, and Stanley J. Osher, Fast TV Regularization for 2D Maximum Penalized Likelihood Estimation, Journal of Computational and Graphical Statistics, June 1, 2011, 20(2): 479-491. pdf version
  116. J. Bedrossian, Nancy Rodriguez, and Andrea Bertozzi, Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion, Nonlinearity 24 (2011) 1683-1714.; Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate Analytics "highly cited" paper for 2017.
  117. A. Chen, T. Wittman, A. Tartakovsky, and A. Bertozzi, Boundary Tracking Through Efficient Sampling AMRX, Volume 2011, Issue 2, pages 182-214, 2011, preprint version.
  118. Carola-Bibiane Schoenlieb and Andrea Bertozzi, Unconditionally stable schemes for higher order inpainting , Comm. Math. Sci., 9(2), pp. 413-457, 2011.
  119. Andrea L. Bertozzi, Ning Ju, and Hsiang-Wei Lu, A biharmonic modified forward time stepping method for fourth order nonlinear diffusion equations, DCDS, Vol. 29, No. 4, special issue on Trends and Developments in DE/Dynamics, April 2011, pages 1367-1391.
  120. Andrea L. Bertozzi, Thomas Laurent, and Jesus Rosado, Lp theory for the multidimensional aggregation equation, Comm. Pur. Appl. Math., Vol. 64, No. 1, pages 45-83, January 2011; Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate Analytics "highly cited paper" 2017.
  121. Y. Lou, A. Bertozzi, and S. Soatto, Direct Sparse Deblurring, J. Math. Imag. Vis., vol. 39, pages 1-12, 2011, published online Aug. 14, 2010, DOI: 10.1007/s10851-010-0220-8. preprint version.
  122. Julia A. Dobrosotskaya and Andrea L. Bertozzi, Wavelet analogue of the Ginzburg-Landau energy and its Gamma-convergence, Interfaces and Free Boundaries, 12(2), 2010, pp. 497-525. preprint version
  123. Andrea Bertozzi and Dejan Slepcev, Existence and Uniqueness of Solutions to an Aggregation Equation with Degenerate Diffusion, Comm. Pur. Appl. Anal., 9(6), 2010, pp. 1617-1637.
  124. Nancy Rodriguez and Andrea Bertozzi, Local Existence and Uniqueness of Solutions to a PDE model for Criminal Behavior , M3AS, special issue on Mathematics and Complexity in Human and Life Sciences, Vol. 20, Issue supp01, pp. 1425-1457, 2010. preprint
  125. Yanghong Huang and A. L. Bertozzi, Self-similar blowup solutions to an aggregation equation in RN, SIAM. J. Appl. Math.,Volume 70, Issue 7, pp. 2582-2603 (2010), preprint version.
  126. Laura M. Smith, Matthew S. Keegan, Todd Wittman, George O. Mohler and Andrea L. Bertozzi, Improving Density Estimation by Incorporating Spatial Information, EURASIP J. on Advances in Signal Processing, Article ID 265631, doi:10.1155/2010/265631, Volume 2010, 12 pages, special issue on Advanced Image Processing for Defense and Security Applications, 2010.
  127. Wangyi Liu, Martin B. Short, Yasser E. Taima, and Andrea L. Bertozzi, Multiscale Collaborative Searching Through Swarming, Proceedings of the 7th International Conference on Informatics in Control, Automation, and Robotics (ICINCO), Portugal, June 2010.
  128. Martin Short, Andrea Bertozzi, and P. J. Brantingham, Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression SIAM J. Appl. Dyn. Syst. Volume 9, Issue 2, pp. 462-483 (2010).
  129. M. B. Short, P. J. Brantingham, A. L. Bertozzi, G. E. Tita, Dissipation and displacement of hotspots in reaction-diffusion models of crime, Proc. Nat. Acad. Sci., 107(9), March 2, 2010, pp. 3961-3965. doi: 10.1073/pnas.0910921107.
  130. M. Droske and A. Bertozzi, Higher-order feature-preserving geometric regularization, SIAM J. Im. Sci., 3(1), pp. 21-51, 2010.
  131. Andrea L. Bertozzi and Jeremy Brandman, Finite-time blow-up of L-infinity-weak solutions of an aggregation equation Communications in the Mathematical Sciences, Vol. 8, No. 1, pp. 45-65, 2010, special issue in honor of Andrew Majda's 60th birthday, preprint version
  132. Yifei Lou, Xiaoqun Zhang, Stanley Osher and Andrea Bertozzi, Image Recovery via Nonlocal Operators, J. Sci. Comp., 42(2), pp. 185-197, February 2010, published online Aug 27, 2009, DOI 10.1007/s10915-009-9320-2. preprint version; Thomson-Reuters 2015 "Highly Cited Paper", Clarivate analytics "highly cited paper", 2017.
  133. Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi, Self-similarity in particle laden flows at constant volume, J. Eng. Math., 66(1-3), pp. 53-63, 2010, DOI 10.1007/s10665-009-9345-4, preprint version.
  134. Yifei Lou, Paolo Favaro, Stefano Soatto, and Andrea Bertozzi, Nonlocal Similarity Image Filtering in the 15th International Conference on Image Analysis and Processing, Vietri sul Mare - Salerno, September 8-11, 2009.
  135. Thomas Ward, Chi Wey, Robert Glidden, A. E. Hosoi, and A. L. Bertozzi, 2009 Experimental study of gravitation effects in the flow of a particle-laden thin film on an inclined plane, Physics of Fluids, 21, 083305, 2009. preprint version .
  136. Andrea L. Bertozzi and Thomas Laurent, The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels Chinese Annals of Mathematics, Series B, for a special issue in honor of Andrew Majda's 60 th Birthday, 2009. preprint version
  137. A. Joshi, T. Ashley, Y. Huang, and A. L. Bertozzi, Experimental validation of cooperative environmental boundary tracking with on-board sensors, American Control Conference, St. Louis, MO, June 2009, pp. 2630-2635.
  138. Carola-Bibiane Schoenlieb, Andrea Bertozzi Martin Burger, and Lin He, Image Inpainting using a fourth-order total variational flow, in SAMPTA '09, Marseille, May 18-22, 2009.
  139. A. Chen, T. Wittman, A. Tartakovsky, and A. L. Bertozzi, Image segmentation through efficient boundary sampling, in SAMPTA '09, Marseille, May 18-22, 2009.
  140. Michael Moeller, Todd Wittman, and Andrea L. Bertozzi, A Variational Approach to Hyperspectral Image Fusion, Proc. SPIE Conference on Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XV. Orlando, Florida. April 2009.
  141. Benjamin Cook, Oleg Alexandrov, and Andrea Bertozzi, Linear stability of particle laden thin films, European Physical Journal - Special Topics, 166(1), pp. 77-81, 2009. preprint version
  142. Andrea L. Bertozzi, Jose A. Carrillo, and Thomas Laurent Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity, FEATURED ARTICLE, 22 (2009) 683-710. Featured in most downloaded articles of 2009. preprint version ; Thomson-Reuters 2015 "Highly Cited Paper".
  143. Wen Yang, Andrea L. Bertozzi, Xiao Fan Wang, Stability of a second order consensus algorithm with time delay, Proc. IEEE Conference on Decision and Control, Cancun Mexico, 2008, pages 2926-2931.
  144. M. B. Short, M. R. D'Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham, A. L. Bertozzi, and L. Chayes, A statistical model of criminal behavior, M3AS: Mathematical Models and Methods in Applied Sciences, special issue on Traffic, Crowds, and Swarms, volume 18, Supp., pages 1249-1267, 2008.; Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate analytics "highly cited" paper 2017.
  145. Julia A. Dobrosotskaya and Andrea L. Bertozzi, A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting, IEEE Trans. Imag. Proc., 17(5), pages 657-663, 2008. preprint version.
  146. H.-W. Lu, F. Bottausci, A. L. Bertozzi, C. D. Meinhart, and C.-J. Kim, PIV Investigation of 3-Dimensional Flow in Drops Actuated by EWOD, 21st IEEE Conference on Micro Electro Mechanical Systems, 2008, pages 571-574. preprint version.
  147. B. Cook, A. L. Bertozzi, and A. E. Hosoi, Shock Solutions for Particle-Laden Thin Films, SIAM J. Appl. Math. vol. 68, no. 3, pp. 760-783, 2008.
  148. Hsiang-Wei Lu, Frederic Bottausci, Jesse Fowler, Andrea L. Bertozzi, Carl Meinhart, and Chang-Jin "CJ" Kim, A Study of EWOD-Driven Droplets by PIV Investigation, Lab on a Chip, 8, p. 456-461, 2008, DOI: 10.1039/b717141b.
  149. Z. Jin and A. L. Bertozzi, Evironmental Boundary Tracking and Estimation using Multiple Autonomous Vehicles, Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007, pp. 4918-4923. preprint version.
  150. Andrea Bertozzi, Selim Esedoglu, and Alan Gillette, Analysis of a two-scale Cahn-Hilliard model for image inpainting, Multiscale Modeling and Simulation, vol. 6, no. 3, pages 913-936, 2007.
  151. H.-W. Lu, K. Glasner, A. L. Bertozzi, and C.-J. Kim, A Diffuse Interface Model for Electrowetting Droplets in a Hele-Shaw Cell J. Fluid Mech., 590:411-435, 2007. preprint version.
  152. A. L. Bertozzi and T. Laurent, Finite-time blow-up of solutions of an aggregation equation in R^n (springer link), Comm. Math. Phys., 274, p. 717-735, 2007. preprint version
  153. Y. Landa, D. Galkowski, Y. R. Huang, A. Joshi, C. Lee, K. K. Leung, G. Malla, J. Treanor, V. Voroninski, A. L. Bertozzi, and R. Tsai, Robotic path planning and visibility with limited sensor data, in the proceedings of the 2007 American Control Conference. preprint version
  154. Kevin K. Leung, Chung H. Hsieh, Yuan R. Huang, Abhijeet Joshi, Vlad Voroninski, and Andrea L. Bertozzi, A second generation micro-vehicle testbed for cooperative control and sensing strategies, Proceedings of the 2007 American Control Conference, pages 1900-1907. preprint version
  155. Y.-L. Chuang, M. R. D'Orsogna, D. Marthaler, A. L. Bertozzi, and L. Chayes, State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System Physica D, 232, 33-47, 2007.
  156. Yifei Lou, Paolo Favaro, A. L. Bertozzi, and S. Soatto, Autocalibration and uncalibrated reconstruction of shape from defocus, Proceedings of the Conference on Computer Vision and Pattern Recognition, pp. 1-8, 2007. preprint version
  157. Y.-L. Chuang, Y. R. Huang, M. R. D'Orsogna, and A. L. Bertozzi, Multi-vehicle flocking: scalability of cooperative control algorithms using pairwise potentials, IEEE International Conference on Robotics and Automation, 2007, pp. 2292-2299.
  158. Andrea Bertozzi, Selim Esedoglu, and Alan Gillette, Inpainting of Binary Images Using the Cahn-Hilliard Equation IEEE Trans. Image Proc. 16(1) pp. 285-291, 2007.
  159. Andrea L. Bertozzi, Editorial to UCLA-IPAM-NSF workshop on thin films and fluid interfaces, Applied Mathematics Research eXpress 2006, published online.
  160. Edward Welsh, Bjorn Birnir, and Andrea L. Bertozzi, Shocks in the Evolution of an Eroding Channel, Applied Mathematics Research eXpress 2006, published online.
  161. M. R. D'Orsogna, Y. Chuang, A. Bertozzi, and L. Chayes, Pattern formation, stability and collapse in 2D driven particle systems, in "Device applications of nonlinear dynamics", pages 103-115, edited by A. Bulsara and S. Baglio (Springer-Verlag , Berlin Heidelberg, 2006).
  162. Chung H. Hsieh, Yao-Li Chuang, Yuan Huang, Kevin K. Leung, Andrea L. Bertozzi, and Emilio Frazzoli, An Economical Micro-Car Testbed for Validation of Cooperative Control Strategies, in the Proceedings of the 2006 American Control Conference, Minneapolis, MN, June 14-16, pages 1446-1451.
  163. C.M. Topaz, A.L. Bertozzi, and M.A. Lewis. A nonlocal continuum model for biological aggregation. Bulletin of Mathematical Biology, 68(7), pages 1601-1623, 2006; Thomson-Reuters 2015 "Highly Cited Paper".
  164. John Greer, Andrea Bertozzi, and Guillermo Sapiro, Fourth Order Partial Differential Equations on General Geometries, J. Computational Physics, 216(1), pages 216-246, 2006.
  165. Maria R. D'Orsogna, Yao-Li Chuang, Andrea L. Bertozzi and Lincoln Chayes, Self-propelled particles with soft-core interactions: patterns, stability, and collapse , Physical Review Letters, 96, 104302, 2006; Thomson-Reuters 2015 "Highly Cited Paper".
  166. Chuang, Y.L., Oren, R., Bertozzi, A.L., Phillips, N., and Katul, G.G., " The porous media model for the hydraulic system of a tree: from sap flux data to transpiration rate ", Ecological Modeling, 191(3-4), pp. 447-468, 2006.
  167. Mark Bowen, Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Nonlinear dynamics of two-dimensional undercompressive shocks, Physica D, Volume 209, Issues 1-4 , 15 September 2005, Pages 36-48.
  168. Chung H. Hsieh, Zhipu Jin, Daniel Marthaler, Bao Q. Nguyen, David J. Tung, Andrea L. Bertozzi, and Richard M. Murray, Experimental Validation of an Algorithm for Cooperative Boundary Tracking , Proceedings of the American Control Conference, Portland 2005, pp. 1078-1083.
  169. B. Q. Nguyen, Y-L Chuang, D. Tung, C. Hsieh, Z. Jin, L. Shi, D. Marthaler, A. L. Bertozzi, R. M. Murray, Virtual attractive-repulsive potentials for cooperative control of second order dynamic vehicles on the Caltech MVWT, Proceedings of the American Control Conference, Portland 2005, pp. 1084-1089.
  170. Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi, Theory for shock dynamics in particle-laden thin films, Physical Review Letters, March 25, 2005, 117803.
  171. Andrea Bertozzi, John Greer, Stanley Osher, and Kevin Vixie, Nonlinear regularizations of TV based PDEs for image processing , AMS Series of Contemporary Mathematics, vol. 371, pages 29-40, Gui-Qiang Chen, George Gasper, and Joseph Jerome eds, 2005.
  172. M. Kemp, A.L. Bertozzi, D. Marthaler, Multi-UUV perimeter surveillance, edited by C., Brancart, E. An, M. Benjamin, 2004 IEEE/OES Workshop on Autonomous Underwater Vehicles, Sebasco Estates, Maine, pages 102-107. link to online article .
  173. A.L. Bertozzi M. Kemp, and D. Marthaler, Determining Environmental Boundaries: Asynchronous communication and physical scales, Cooperative Control, Lecture Notes in Control and Information Systems, V. Kumar, N. Leonard, and A. S. Morse eds, vol. 309, pages 25-42, 2004.
  174. Chad Topaz and Andrea L. Bertozzi, Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups , SIAM Journal on Applied Mathematics Volume 65, Number 1 pp. 152-174, 2004.
  175. Andrea L. Bertozzi and John B. Greer, Low curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes, Comm. Pure Appl. Math., vol. 57 no. 6 (2004), pp. 764-790.
  176. John B. Greer and Andrea L. Bertozzi, Traveling wave solutions of fourth order PDEs for image processing , SIAM J. Math. Anal., vol. 36 no. 1 (2004), pp. 38-68.
  177. T.P. Witelski, A. J. Bernoff, A. L. Bertozzi, Blow-up and dissipation in a critical-case unstable thin film equation, European J. Appl. Math., vol. 15, no. 2, (2004), pp. 223-256.
  178. John B. Greer and Andrea L. Bertozzi, H1 Solutions of a class of fourth order nonlinear equations for image processing, Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville, and Roger Temam, web page , vol. 1-2 no. 10 , pp. 349-366 preprint version.
  179. B. A. Wagner, A. L. Bertozzi, and L. E. Howle, Positive Feedback Control of Rayleigh-Benard Convection , Discrete and Continuous Dynamical Systems Series B, 2003, special issue in honor of David Schaeffer, vol. 3 no. 4, pp. 619-642.
  180. Daniel Marthaler and Andrea L. Bertozzi, Tracking environmental level sets with autonomous vehicles , S. Butenko, R. Murphey and P.M. Pardalos (editors), ``Recent Developments in Cooperative Control and Optimization'', Kluwer Academic Publishers, 2003.
  181. B. Cook, D. Marthaler, C. Topaz, A. Bertozzi, and M. Kemp, Fractional bandwidth reacquisition algorithms for VSW-MCM, Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, 2003, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. 77-86.
  182. Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Reverse undercompressive shock structures in driven thin film flow, Phys. Rev. Lett. 90 (12) 126105, 2003.
  183. R. Buckingham, M. Shearer, and A. L. Bertozzi, Thin film traveling waves and the Navier slip condition, SIAM J. Appl. Math.Volume 63, Number 2, pp. 722-744, 2003.
  184. Andrea L. Bertozzi and Mark Bowen, Thin film dynamics:theory and applications, Modern Methods in Scientific Computing and Applications, Proceedings of the Nato Adv. Study Institute, Montreal Canada, 2001, pp. 31-79.Anne Bourlioux, Martin J. Gander, and Gert Sabidussi, eds., Nato Science Series II, Vol. 75, Kluwer, Dordrecht, 2002 .
  185. M. Bertalmio, A. L. Bertozzi, and G. Sapiro, Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting, Proceedings of the International Conference on Computer Vision and Pattern Recognition , IEEE, Dec. 2001, Kauai, HI, volume I, pp. I-355-I362.
  186. Andrea L. Bertozzi, Guenther Gruen, and Thomas P. Witelski, Dewetting films: bifurcations and concentrations , Nonlinearity, vol 14, number 6, Nov 2001, pp 1569-1592.
  187. Andrea Bertozzi, Andreas Munch, Michael Shearer, and Kevin Zumbrun, Stability of compressive and undercompressive thin film travelling waves, European J. of Appl. Math., 12(3), pp.253-291, 2001 [bladerunner[abs].
  188. Javier Diez, Lou Kondic, and Andrea Bertozzi, Global models for moving contact lines, Phys. Rev. E. 63, 011208 (January 2001) [available here].
  189. Andrea L. Bertozzi and Mary C. Pugh, Finite-time blow-up of solutions of some long-wave unstable thin film equations , Indiana Univ. Mathematics J. 49(4), pp. 1323-1366, 2000
  190. Andrea L. Bertozzi and Michael Shearer, Existence of undercompressive traveling waves in thin film equations, SIAM J. Math. Anal., vol 32, no. 1, pp. 194-213, 2000.
  191. L. Zhornitskaya and A. L. Bertozzi, Positivity Preserving Numerical Schemes for Lubrication-Type Equations, S.I.A.M. J. Num Anal., Vol. 37, No. 2, pp. 523-555, 2000.
  192. Andrea L Bertozzi, A. Munch, M. Shearer, Undercompressive Shocks in Thin Film Flow, Physica D, 134(4), 431-464, 1999.
  193. L. Kondic and A. L. Bertozzi, Nonlinear Dynamics and Transient Growth of Driven Contact Lines , Physics of Fluids, vol. 11, number 11, pages 3560-3562, 1999.
  194. L. Kondic and A. L. Bertozzi, Thin Liquid Films: Instabilities of Driven Coating Flows On A Rough Surface, Dynamics in Small Confined Systems IV, ed. J. M. Drake, G. S. Grest, J. Klafter, and R. Kopelman, Materials Research Society Symposium Proceedings, Vol. 543, pages 213-218, 1999.
  195. A. Munch, A. L. Bertozzi, Rarefaction-Undercompressive Fronts in Driven Films, Physics of Fluids (Letters) 11(10), pp. 2812-2814, 1999.
  196. Andrea L. Bertozzi,A. Münch and M. Shearer, Undercompressive waves in driven thin film flow: Theory, Computation, and Experiment, Proceedings of the Conference on Trends in Mathematical Physics, Knoxville, TN, Oct. 14-17, 1998. editors: V.Alexiades and G.Siopsis, AMS/IP Studies in Advanced Mathematics, Volume 13, AMS and International Press, 1999, pp. 43-68.
  197. Andrea L Bertozzi, A. Munch, X. Fanton, A.M. Cazabat, Contact Line Stability and 'Undercompressive Shocks' In Driven Thin Film Flow, Physical Review Letters, 81(23), pp. 5169-5l72, December 7, 1998.
  198. Andrew Bernoff, Andrea L Bertozzi, Thomas Witelski, Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinch-Off , J. Stat. Phys., 93(3/4), November 1998, pp. 725-776.
  199. Andrea L Bertozzi, M. Pugh, Long-Wave Instabilities and Saturation in Thin Film Equations, Comm. Pur. Appl. Math., Vol. LI, pages 625-651, 1998.
  200. Andrea L Bertozzi, The Mathematics of Moving Contact Lines in Thin Liquid Films , Notices Am. Math. Soc., 45(6), pp. 689-697, June/July 1998.
  201. Andrea L Bertozzi, Michael Brenner, Linear Stability and Transient Growth in Driven Contact Lines, Physics of Fluids 9(3) March 1997, pp. 530-539.
  202. Robert Almgren, Andrea L Bertozzi, Michael Brenner, Stable and Unstable Singularities in the Unforced Hele-Shaw Cell , Physics of Fluids 8(6), June 1996.
  203. Andrea L Bertozzi, Lubrication Approximations for Surface Tension Driven Interfaces: Some Open Problems, Z. angew. Math. Mech. 76(1996) S2, pp. 373-376 .
  204. Andrea L Bertozzi, Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion, 34 pp, SIAM J. Applied Math. Vol. 56, No. 3, pp. June 1996, pp. 681-714.
  205. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: Regularity and Long Time Behavior of Weak Solutions, Comm. Pure. Appl. Math., February, 49(2), 1996, pp. 85-123.
  206. A. J. Bernoff, Andrea L Bertozzi, Singularities in a Modified Kuramoto-Sivashinsky Equation Describing Interface Motion for Phase Transition, Physica D 85 (1995) 375-404.
  207. Andrea L Bertozzi, Loss and Gain of Regularity in a Lubrication Equation for Thin Viscous Films, Free Boundary Problems: Theory and Applications, pp. 72-85, J. I. Diaz, M. Herrero, A. Linan, J. L. Vazquez, eds., Pitman Research Notes in Mathematics Series 323, Longman House, London, 1995.
  208. Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: The Moving Contact Line with a 'Porous Media' cut off of van der Waals Interactions, Nonlinearity. 7(6)November, 1994, pp. 1535-64.
  209. Andrea L Bertozzi, Michael P. Brenner, Todd F. Dupont, Leo P. Kadanoff, Singularities and Similarities in Interface Flows, Trends and Perspectives in Applied Mathematics, pp. 155-208, L. Sirovich, ed. volume 100, Springer-Verlag Applied Mathematical Sciences, 1994.
  210. Andrea L Bertozzi, Ashvin B. Chhabra, Cancellation Exponents and Fractal Scaling, Phys. Rev. E., 49(5) May 1, 1994, pp. 4716-9.
  211. Michael Brenner and Andrea L. Bertozzi, Spreading of Droplets on a Solid Surface, Physical Review Letters, 71 No. 4 pp. 593-596, July 26, 1993.
  212. Andrea L Bertozzi, James McKenna, Multidimensional Residues, Generating Functions, and Their Application To Queueing Networks, SIAM Review, 35, No. 2, pp. 239-268, June 1993.
  213. Andrea L Bertozzi, P. Constantin, Global Regularity for Vortex Patches, Commun. Math. Phys. 152 19-28 (1993).
  214. Andrea L. Bertozzi, Heteroclinic orbits and chaotic dynamics in planar fluid flows , SIAM J. Math. Anal., vol. 19, no. 6, November 1988, pp. 1271-1294.