Recent publications
Earlier publications
Ancient publications
I. Binder, L. Chayes and H.K. Lei, On the Rate of Convergence for Critical Crossing Probabilities, to appear in Ann. Inst. Henri Poincare´ Probab. Stat.
Lincoln Chayes, Inwon Kim and Yao Yao, An Aggregation Equation with Degenerate Diffusion: Qualitative Property of Solutions, to appear in Siam. J. Math. Anal.
A. Barbaro, L. Chayes, M. R. D’Orsogna, Territorial Developments Based on Graffiti: a Statistical Mechanics Approach, Physica A, 392, no.1, 1 Pages 252–270 (2013). DOI No. 10.1016/j.physa.2012.08.001.
L. Chayes, W. Gangbo and H. K. Lei, Hamiltonian ODE’s on a Space of Deficient Measures, Communications in Mathematical Sciences, 11, no. 1, 1–31 (2013).
Lincoln Chayes, Joseph Rudnick, Aviva Shackell and Roya Zandi, On the Thinning of Films (I), Physica A 391 2353–2380 (2012). DOI No. 10.1016/ j.physa.2011.07.002.
I. Binder, L. Chayes and H.K. Lei, On Convergence to SLE6 II: Discrete Approximations and Extraction of Cardy’s Formula for General Domains J. Stat. Phys. 141: 391– 408 (2010) DOI 10.1007/s10955-010-0053-2.
I. Binder, L. Chayes and H.K. Lei, On Convergence to SLE6 I: Conformal Invariance for Certain Models of the Bond-Triangular Type, J. Stat. Phys. 141: 359 – 390 (2010). DOI 10.1007/s10955-010-0052-3.
L. Chayes and V. Panferov The McKean–Vlasov Equation in Finite Volume, J. Statist. Phys. 138 351–380 (2010). DOI 10.1007/s10955-009-9913-z
Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani and Inwon Kim, Global Existence and Uniqueness of Solutions to a Model of Price Formation, SIAM J. Math. Anal. 41, no. 5 2107–2135 (2009).
Paul A. Jones, P. Jeffrey Brantingham and Lincoln R. Chayes, Statistical Models of Criminal Behavior:The Effects of Law Enforcement Actions, Mathematical Models and Methods in Applied Sciences (M3AS) DOI 10.1142/S0218202510004647
Lincoln Chayes and S. Alex Smith, Large Deviation Analysis for Layered Percolation Problems on the Complete Graph, Random Structures & Algorithms, 40, no. 4, 460–492 (2012).
Lincoln Chayes and Inwon C. Kim, The Supercooled Stefan Problem in One Dimension, to appear in CPAA.
L. Chayes, Mean Field Analysis of Low Dimensional Systems, Commun. Math. Phys. 292 No 2 303–341 (2009).
L. Chayes and P. Nolin, Large Scale Properties of the IIIC for 2D Percolation, Stoc. Proc. Appl. 882–896 (2009).
L. Chayes, Ballistic Behavior for Biased Self–Avoiding Walks, Stoc. Proc. Appl. 119 1470–1478 (2009).
F.Y. Wu, B.M. McCoy, M.E. Fisher and L. Chayes, Comment on a Recent Conjectured Solution of the Three–Dimensional Ising Model, Phil. Mag, 88 No 26 3093–3095 (2008).
Lincoln Chayes, Nicholas Crawford, Dmitry Ioffe and Anna Levit, The Phase Diagram of the Quantum Curie-Weiss Model, J. Statist. Phys. 133 131–149 (2008).
Lincoln Chayes and Inwon C. Kim, A Two–Sided Contracting Stefan Problem, Commun. PDE 33 No12 2225–2256 (2008).
M. B. Short, M. R. D’Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham, A. L. Bertozzi, and L. B. Chayes, A Statistical Model of Criminal Behavior, M3AS: Mathematical Models and Methods in Applied Sciences 18 (suppl): 1249-1267 (2008).
Roya Zandi, Aviva Shackell, Joseph Rudnick, Mehran Kardar, and Lincoln P. Chayes, Thinning of Superfluid Films Below the Critical Point, Physical Review E 76 030601 (R) (2007).
L. Chayes, J.L. Lebowitz and V. Marinov, Percolation Phenomena in Low and High Density Systems, J. Statist. Phys. 129 567–585 (2007).
M. Biskup, L. Chayes and S.A. Kivelson, On the Absence of Ferromagnetism in Typical 2D Ferromagnets, Commun. Math. Phys. 274, 217–321 (2007).
Lincoln Chayes and Thomas M. Liggett, One Dimensional Nearest Neighbor Exclusion Processes in Inhomogeneous and Random Environments, J. Statist. Phys. 129 193 – 203 (2007).
M. Biskup, L. Chayes and S. Starr, Quantum Spin- Systems at Finite Temperature, Commun. Math. Phys.  269, 611– 657 (2007).
Yao-li Chuang, Maria R. D’Orsogna, Daniel Marthaler, Andrea L. Bertozzi, and Lincoln S. Chayes, State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System, Physica D: Nonlinear Phenomena, Volume 232, Issue 1, p. 33-47 (2007).
L. Chayes and H.K. Lei, Cardy’s Formula for Certain Models of the Bond–Triangular Type, Reviews in Mathematical Physics, Vol. 19, No. 5 511– 565 (2007).
M.R. D’Orsogna, Y.L. Chuang, A.L. Bertozzi and L.M. Chayes, Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability and Collapse, Phys. Rev. Lett., 96 104302 (2006).
M. Biskup, L. Chayes and S.A. Smith, Large-Deviations/ Thermo-dynamic Approach to Percolation on the Complete Graph, Random Structures & Algorithms, DOI 10.1002/rsa.20169 1–17 (2006).
J.M. Schwarz, Andrea J. Liu and L.Q. Chayes, The Onset of Jamming as the Sudden Emergence of an Infinite k-core Cluster, Europhys. Lett., 73 (4), pp. 560–566 (2006).
L. Chayes and H.K. Lei, Random Cluster Models on the Triangular Lattice, J. Statist. Phys. 122 no. 4, 647–670 (2006).
M. Biskup, L. Chayes and N. Crawford, Mean-Field Driven First-Order Phase Transitions in Systems with Long-Range Interactions, J. Statist. Phys. 119 no. 6, 1139–1193 (2006).