Recent publications
Earlier publications
Ancient publications
K.S. Alexander, M. Biskup and L. Chayes, Colligative Properties of Solutions: II. Vanishing Concentrations, J. Statist. Phys. 119 no. 3-4, 509-537 (2005).
K.S. Alexander, M. Biskup and L. Chayes, Colligative Properties of Solutions: I. Fixed Concentrations, J. Statist. Phys. 119 no. 3-4, 479-507 (2005).
Kirill Shtengel and L.P. Chayes, Vertex Models and Random Labyrinths: Phase Diagrams for Ice-type Vertex Models, J. Stat. Mech. PO 7006 (2005).
M. Biskup, L. Chayes and Z. Nussinov, Orbital Ordering in Transition-Metal Compounds: I. The 120-degree model, Commun. Math. Phys.  255, no. 2, 253-292 (2005).
M. Biskup, L. Chayes and S.A. Kivelson, Order by Disorder, Without Order, in a Two-Dimensional Spin System with O(2) Symmetry, Ann. Henri Poincaré 5, no. 6, 1181-1205 (2004).
M. Biskup, L. Chayes, Z. Nussinov and J. van den Brink, Orbital order in classical models of transition-metal compounds, Europhys. Lett. 67, no. 6, 990–996 (2004).
M. Biskup, Ph. Blanchard, L. Chayes, D. Gandolfo and T. Krüger, Phase transition and critical behavior in a model of organized criticality, Probab. Theory Rel. Fields. 128 no. 1, 1–41, (2004).
M. Biskup, L. Chayes and R. Kotecky', A proof of the Gibbs-Thomson formula in the droplet formation regime, J. Statist. Phys. 116, no. 1-4, 175–203 (2004).
M. Biskup, L. Chayes and R. Kotecky', Comment on: “Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes”, Physica A 327, 589–592 (2003).
M. Biskup, L. Chayes and R. Kotecky', Critical region for droplet formation in the two-dimensional Ising model, Commun. Math. Phys. 242, no. 1-2, 137–183 (2003).
M. Biskup and L. Chayes, Rigorous analysis of discontinuous phase transitions via mean-field bounds, Commun. Math. Phys. 238, no. 1-2, 53–93 (2003).
J. Machta and L.E. Chayes, What Is The Best Way To Simulate An Equilibrium Classical Spin Model? in The Monte Carlo Method in the Physical Science: Celebrating the 50th Anniversary of the Metropolis Algorithm, pp. 232–239, ed. J. Gubernatis, AIP (2003).
M. Biskup, L. Chayes and R. Kotecky', On the formation/ dissolution of equilibrium droplets, Europhys. Lett. 60 no. 1, 21–27 (2002).
I. Dukovski, J. Machta, and L.V. Chayes, Invaded Cluster Simulations of the XY Model in Two and Three Dimensions, Phys. Rev. E 65 026702 (2002).
M. Biskup, L. Chayes and R. Kotecky', Coexistence of partially disordered/ordered phases in an extended Potts model, J. Statist. Phys. 99 no. 5/6, 1169–1206, (2000).
R. Sun, H. Gould, J. Machta and L.W. Chayes, Cluster Monte Carlo Study of Multicomponent Fluids of the Stillinger-Helfand and Widom-Rowlinson type, Phys. Rev. E 62 2226 – 2232 (2000).
J. Machta, M.E.J. Newman, and L.B. Chayes, Replica-Exchange Algorithm and Results for the Three-dimensional Random Field Ising Model, Phys. Rev. E 62 8782 – 8789 (2000).
L. Chayes and R.H. Schonmann, Mixed Percolation as a Bridge Between Bond and Site Percolation, Annals of Applied Probability, 10 1182–1196 (2000).
L. Chayes, S.B. Shlosman and V.A. Zagrebnov, Discontinuity of the Magnetization in Diluted O(N)–Models, J. Stat. Phys. 98 537–549 (2000).
Ph. Blanchard, L. Chayes, and D. Gandolfo, The Random Cluster Representation For The Infinite-Spin Ising Model: Application to QCD Pure Gauge Theory, Nucl. Phys. B [FS] 588 229 – 252 (2000).
L. Chayes, L.P. Pryadko and K. Shtengel, Intersecting Loop Models on Zd: Rigorous Results, Nucl. Phys. B [FS] 570 590 – 614 (2000).
L. Chayes and K. Shtengel, Lebowitz Inequalities for Ashkin-Teller Systems, Physica A, 279 312–323 (2000).
Z. Nussinov, J. Rudnick, S.A. Kivelson and L.N. Chayes, Avoided Critical Behavior in O(n) Systems, Phys. Rev. Lett. 83 472–475 (1999).
M. Campbell and L. Chayes, Intermediate Phases in Mixed Nematic/Heisenberg Spin–Model, J. Phys. A: Math. Gen. 32 8881–8887 (1999).
L. Chayes and K. Shtengel, Critical Behavior for 2D Uniform and Disordered Ferromagnets at Self–Dual Points, Commun. Math. Phys. 204 353-366 (1999).
K. Moriarty, J. Machta and L.Y. Chayes, Dynamic and Static Properties of the Invaded Cluster Algorithm, Phys. Rev. E., 59 1425–1434 (1999).
Y. S. Choi, J. Machta, P. Tamayo and L.X. Chayes, Parallel Invaded Cluster Algorithm for the Ising Model, Int. J. Mod. Phys. C 10 1–16 (1999).
L. Chayes, A. Coniglio, J. Machta and K. Shtengel, The Mean Field Theory for Percolation Models of the Ising Type, J. Stat. Phys. 94 53–66 (1999).
L. Chayes, J. Machta and O. Redner, Graphical Representations for Ising Systems in External Fields, J. Stat. Phys. 93 17–32 (1998).
O. Redner, J. Machta and L.F. Chayes, Graphical Representations and Cluster Algorithms for Critical Points with Fields, Phys. Rev. E 58 2749–2752 (1998).
K.S. Alexander, F. Cesi, L. Chayes, C. Maes and F. Martinelli, Convergence to Equilibrium on Random Ising Models in the Griffiths Phase, J. Stat. Phys. 92 337–351 (1998).
T. Baker and L. Chayes, On the Unicity of Discontinuous Transitions in the Two–Dimensional Potts and Ashkin–Teller Models, J. Stat. Phys. 93 1–15 (1998).
M. Campbell and L. Chayes, The Isotropic O(3) Model and the Wolff Representation J. Phys. A: Math. Gen. 31 L255–L259 (1998).
L. Chayes, D. McKellar and B. Winn, Percolation and Gibbs States Multiplicity for Ferromagnetic Ashkin–Teller Models on Z2, J. Phys. A: Math. Gen. 31 9055–9063 (1998).
L. Chayes, Discontinuity of the Spin–Wave Stiffness in the Two–Dimensional XY Model, Commun. Math. Phys. 197 623–640 (1998).
L. Chayes and J. Machta, Graphical Representations and Cluster Algorithms Part II, Physica A 254 477–516 (1998).
L. Chayes, R. Kotecky' and S. B. Shlosman, Staggered Phases in Diluted Systems with Continuous Spins, Commun. Math. Phys. 189 631–640 (1997)
K.S. Alexander and L. Chayes, Non–Perturbative Criteria for Gibbsian Uniqueness, Commun. Math. Phys. 189 447–464 (1997).
L. Chayes, R. Pemantle and Y. Peres, No Directed Fractal Percolation in Zero Area, J. Stat. Phys. 88 1351–1362 (1997).
L. Chayes and J. Machta, Graphical Representations and Cluster Algorithms Part I: Discrete Spin Systems, Physica A 239, 542–601 (1997).
G. Johnson, H. Gould, J. Machta and L. K. Chayes, Monte Carlo Study of the Widom-Rowlinson Fluid Using Cluster Methods, Phys. Rev. Lett. 79 2612–2615 (1997).
L. Chayes, Percolation and Ferromagnetism on Z2: The q– State Potts Cases, Stoc. Proc. Appl. 65 209–216 (1996).
L. Chayes and G. Swindle, Hydrodynamic Limits for One–Dimensional Particle Systems with Moving Boundaries, Ann. Probab. 24, 559–598 (1996).
L. Chayes, R. Kotecky, An Intermediate Phase for a Classical Continuum Model, Phys. Rev. B 54, 9221– 9224 (1996).
L. Chayes, On the Length of the Shortest Crossing in the Super-Critical Phase of Mandelbrot’s Percolation Process, Stoc. Proc. Appl. 61 25–43 (1996).
L. Chayes, V.J. Emery, S.A. Kivelson, Z. Nussinov and G.Tarjus, Avoided Critical Behavior in a Uniformly Frustrated System, Physica A 225, 129–153 (1996).
J. Machta, Y. S. Choi, A. Lucke and T. Schweizer and L. M. Chayes, Invaded Cluster Algorithm for Potts Models, Phys. Rev. E 54, 1332–1345 (1996)