## Chayes, Lincoln

Compute Distance To:
 Author ID: chayes.lincoln Published as: Chayes, L.; Chayes, Lincoln; Chayes, Lincoln R.; Chayes, Lincoln S.; Chayes, L. S.; Chayes, L. V.; Chayes, L more...less Homepage: http://www.math.ucla.edu/~lchayes/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 88 Publications since 1983 Co-Authors: 61 Co-Authors with 76 Joint Publications 1,926 Co-Co-Authors
all top 5

### Co-Authors

 8 single-authored 24 Chayes, Jennifer Tour 13 Biskup, Marek 7 Lei, Helen K. 6 Kotecký, Roman 5 Alexander, Kenneth S. 5 Machta, Jonathan 4 Kim, Inwon Christina 4 Schonmann, Roberto Henrique 3 Binder, Ilia A. 3 Kivelson, Steven A. 3 Shlosman, Senya B. 3 Shtengel, Kirill 3 Swindle, Glen H. 2 Abraham, Douglas B. 2 Aizenman, Michael 2 Bertozzi, Andrea Louise 2 Blanchard, Philippe 2 Chuang, Yao-Li 2 Crawford, Nicholas 2 D’Orsogna, Maria R. 2 Durrett, Richard Timothy 2 Gandolfo, Daniel 2 Newman, Charles Michael 2 Smith, S. Alex 1 Brantingham, P. Jeffrey 1 Campanino, Massimo 1 Cesi, Filippo 1 Fröhlich, Jürg Martin 1 Gangbo, Wilfrid 1 González, María del Mar 1 Grannan, Eric R. 1 Grimmett, Geoffrey R. 1 Gualdani, Maria Pia 1 Ioffe, Dmitry 1 Jones, Paul A. 1 Kesten, Harry 1 Klein, David 1 Krüger, Tyll 1 Lebowitz, Joel Louis 1 Levit, Anna 1 Lieb, Elliott Hershel 1 Liggett, Thomas Milton 1 Lucke, A. 1 Maes, Christian 1 Marthaler, Daniel E. 1 Martinelli, Fabio 1 McKellar, Danica Mae 1 Nolin, Pierre 1 Nussinov, Zohar 1 Pemantle, Robin 1 Peres, Yuval 1 Pryadko, Leonid P. 1 Redner, Oliver 1 Ruskai, Mary Beth 1 Russo, Lucio 1 Schweizer, Thomas 1 Spencer, Thomas C. 1 Starr, Shannon L. 1 Winfield, Christopher J. 1 Yao, Yao 1 Zagrebnov, Valentin A.
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### Serials

 25 Journal of Statistical Physics 19 Communications in Mathematical Physics 7 Journal of Physics A: Mathematical and General 4 Probability Theory and Related Fields 4 Stochastic Processes and their Applications 3 Nuclear Physics. B 3 The Annals of Probability 2 Random Structures & Algorithms 2 SIAM Journal on Mathematical Analysis 1 Helvetica Physica Acta 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Applied Probability 1 Physica D 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Differential Equations 1 Annales Henri Poincaré 1 Physical Review Letters 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences
all top 5

### Fields

 73 Statistical mechanics, structure of matter (82-XX) 50 Probability theory and stochastic processes (60-XX) 6 Partial differential equations (35-XX) 5 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

82 Publications have been cited 914 times in 691 Documents Cited by Year
Discontinuity of the magnetization in one-dimensional $$1/| x-y| ^ 2$$ Ising and Potts models. Zbl 1084.82514
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M.
1988
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
2007
On a sharp transition from area law to perimeter law in a system of random surfaces. Zbl 0529.60099
Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L.
1983
Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110
Chayes, J. T.; Chayes, L.; Durrett, R.
1988
Exponential decay of connectivities in the two-dimensional Ising model. Zbl 0962.82522
Chayes, J. T.; Chayes, L.; Schonmann, R. H.
1987
The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation. Zbl 0698.60098
Alexander, K.; Chayes, J. T.; Chayes, L.
1990
The analysis of the Widom-Rowlinson model by stochastic geometric methods. Zbl 0830.60100
Chayes, J. T.; Chayes, L.; Kotecký, R.
1995
Mean-field driven first-order phase transitions in systems with long-range interactions. Zbl 1142.82329
Biskup, Marek; Chayes, Lincoln; Crawford, Nicholas
2006
Statistical models of criminal behavior: the effects of law enforcement actions. Zbl 1202.62177
Jones, Paul A.; Brantingham, P. Jeffrey; Chayes, Lincoln R.
2010
Rigorous analysis of discontinuous phase transitions via mean-field bounds. Zbl 1051.82008
Biskup, Marek; Chayes, Lincoln
2003
Bulk transport properties and exponent inequalities for random resistor and flow networks. Zbl 0617.60099
Chayes, J. T.; Chayes, L.
1986
The McKean-Vlasov equation in finite volume. Zbl 1186.82023
Chayes, L.; Panferov, V.
2010
Bernoulli percolation above threshold: An invasion percolation analysis. Zbl 0627.60099
Chayes, J. T.; Chayes, L.; Newman, C. M.
1987
Gaussian fluctuations of connectivities in the subcritical regime of percolation. Zbl 0691.60090
Campanino, Massimo; Chayes, J. T.; Chayes, L.
1991
Percolation and random media. Zbl 0661.60120
Chayes, J. T.; Chayes, L
1986
Random tubes as a model of pair correlations. Zbl 0596.60096
Chayes, J. T.; Chayes, L.
1985
Critical points and intermediate phases on wedges of $${\mathbb{Z}}$$ d. Zbl 0636.60105
Chayes, J. T.; Chayes, L.
1986
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
2009
An aggregation equation with degenerate diffusion: qualitative property of solutions. Zbl 1288.35312
Chayes, Lincoln; Kim, Inwon; Yao, Yao
2013
Critical behavior of the two-dimensional first passage time. Zbl 0629.60109
Chayes, J. T.; Chayes, L.; Durrett, R.
1986
The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094
Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H.
1989
Pattern formation stability and collapse in 2D driven particle systems. Zbl 1135.82319
D’Orsogna, M. R.; Chuang, Y.-li; Bertozzi, A. L.; Chayes, L. S.
2006
Lifshitz’ law for the volume of a two-dimensional droplet at zero temperature. Zbl 1081.82544
Chayes, L.; Schonmann, R. H.; Swindle, G.
1995
Hydrodynamic limits for one-dimensional particle systems with moving boundaries. Zbl 0869.60085
Chayes, L.; Swindle, G.
1996
On the upper critical dimension of Bernoulli percolation. Zbl 0627.60100
Chayes, J. T.; Chayes, L.
1987
Quantum spin systems at positive temperature. Zbl 1125.82011
Biskup, Marek; Chayes, Lincoln; Starr, Shannon
2007
The phase diagram of the quantum Curie-Weiss model. Zbl 1152.82004
Chayes, Lincoln; Crawford, Nicholas; Ioffe, Dmitry; Levit, Anna
2008
Order by disorder, without order, in a two-dimensional spin system with $$O(2)$$ symmetry. Zbl 1162.82307
Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A.
2004
Critical region for droplet formation in the two-dimensional Ising model. Zbl 1041.82004
Biskup, Marek; Chayes, Lincoln; Kotecký, Roman
2003
The inverse problem in classical statistical mechanics. Zbl 0553.46050
Chayes, J. T.; Chayes, L.; Lieb, Elliott H.
1984
On the validity of the inverse conjecture in classical density functional theory. Zbl 0586.60098
Chayes, J. T.; Chayes, L.
1984
Intersecting loop models on $${\mathbb Z}^ d$$: rigorous results. Zbl 1068.82504
Chayes, L.; Pryadko, Leonid P.; Shtengel, Kirill
2000
Orbital ordering in transition-metal compounds. I: The 120-degree model. Zbl 1074.82009
Biskup, M.; Chayes, L.; Nussinov, Z.
2005
Large-deviations/thermodynamic approach to percolation on the complete graph. Zbl 1129.05045
Biskup, Marek; Chayes, Lincoln; Smith, S. A.
2007
On the length of the shortest crossing in the super-critical phase of Mandelbrot’s percolation process. Zbl 0849.60092
Chayes, L.
1996
Discontinuity of the spin-wave stiffness in the two-dimensional $$XY$$ model. Zbl 0941.82012
Chayes, L.
1998
Graphical representations for Ising systems in external fields. Zbl 0963.82009
Chayes, L.; Machta, J.; Redner, O.
1998
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
1989
Aspects of the fractal percolation process. Zbl 0844.60091
Chayes, Lincoln
1995
Percolation and ferromagnetism on $$\mathbb Z^ 2$$: the $$q$$-state Potts cases. Zbl 0889.60096
Chayes, L.
1996
Mixed percolation as a bridge between site and bond percolation. Zbl 1073.60539
Chayes, Lincoln; Schonmann, Roberto H.
2000
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. Zbl 1141.82015
Chayes, Lincoln; Liggett, Thomas M.
2007
Cardy’s formula for certain models of the bond-triangular type. Zbl 1152.82009
Chayes, L.; Lei, H. K.
2007
Phase transitions in Mandelbrot’s percolation process in three dimensions. Zbl 0734.60100
Chayes, J. T.; Chayes, L.; Grannan, E.; Swindle, G.
1991
Invaded cluster algorithm for equilibrium critical points. Zbl 0951.82016
Machta, J.; Choi, Y. S.; Lucke, A.; Schweizer, T.; Chayes, L. V.
1995
Random surface correlation functions. Zbl 0572.60019
Abraham, D. B.; Chayes, J. T.; Chayes, L.
1984
Non-perturbative criteria for Gibbsian uniqueness. Zbl 0888.60092
Alexander, K. S.; Chayes, L.
1997
On the absence of directed fractal percolation. Zbl 0827.60085
Chayes, L.
1995
On the behavior of the surface tension for spin systems in a correlated porous medium. Zbl 1081.82637
Chayes, L.; Machta, J.
1995
The isotropic O(3) model and the Wolff representation. Zbl 1001.82524
Campbell, M.; Chayes, L.
1998
Convergence to equilibrium of random Ising models in the Griffiths phase. Zbl 1079.82534
Alexander, K. S.; Cesi, F.; Chayes, L.; Maes, C.; Martinelli, F.
1998
Critical behavior for $$2$$D uniform and disordered ferromagnets at self-dual points. Zbl 0937.82023
Chayes, L.; Shtengel, K.
1999
On convergence to $$\mathrm{SLE}_6$$. I: Conformal invariance for fertain models of the bond-triangular type. Zbl 1203.82051
Binder, I.; Chayes, L.; Lei, H. K.
2010
On convergence to $$\mathrm{SLE}_6$$. II: Discrete approximations and extraction of Cardy’s formula for general domains. Zbl 1203.82052
Binder, I.; Chayes, L.; Lei, H. K.
2010
A two-sided contracting Stefan problem. Zbl 1154.35477
Chayes, Lincoln; Kim, Inwon C.
2008
On the absence of ferromagnetism in typical 2D ferromagnets. Zbl 1206.82014
Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A.
2007
Mean field analysis of low-dimensional systems. Zbl 1184.82006
Chayes, L.
2009
Aggregation and intermediate phases in dilute spin systems. Zbl 0840.60094
Chayes, L.; Kotecky, R.; Shlosman, S. B.
1995
Phase diagram and correlation length bounds for Mandelbrot aerogels. Zbl 0797.60087
Chayes, J. T.; Chayes, L.; Machta, J.
1993
Staggered phases in diluted systems with continuous spins. Zbl 0888.60095
Chayes, L.; Kotecký, R.; Shlosman, S. B.
1997
Coexistence of partially disordered/ordered phases in an extended Potts model. Zbl 0968.82009
Biskup, M.; Chayes, L.; Kotecký, R.
2000
On the unicity of discontinuous transitions in the two-dimensional Potts and Ashkin-Teller models. Zbl 0935.60087
Baker, T.; Chayes, L.
1998
The random cluster representation for the infinite-spin Ising model: Application to QCD pure gauge theory. Zbl 0979.82013
Blanchard, Ph.; Chayes, L.; Gandolfo, D.
2000
The mean field bound for the order parameter of Bernoulli percolation. Zbl 0621.60111
Chayes, J. T.; Chayes, L.
1987
Density functional approach to quantum lattice systems. Zbl 0632.46072
Chayes, J. T.; Chayes, L.; Ruskai, Mary Beth
1985
Nonperturbative analysis of a model of random surfaces. Zbl 1223.82024
Abraham, D. B.; Chayes, J. T.; Chayes, L.
1985
Random cluster models on the triangular lattice. Zbl 1149.82006
Chayes, L.; Lei, H. K.
2006
The density of interfaces: A new first-passage problem. Zbl 0788.60120
Chayes, L.; Winfield, C.
1993
A generalization of Poisson convergence to “Gibbs convergence” with applications to statistical mechanics. Zbl 0861.60093
Chayes, Lincoln; Klein, David
1994
Discontinuity of the magnetization in diluted $$O(n)$$-models. Zbl 0991.82008
Chayes, Lincoln; Shlosman, Senya B.; Zagrebnov, Valentin A.
2000
Transport and equilibrium in non-conservative systems. Zbl 1433.35402
Chayes, L.; Lei, H. K.
2018
The supercooled Stefan problem in one dimension. Zbl 1282.35376
Chayes, Lincoln; Kim, Inwon C.
2012
No directed fractal percolation in zero area. Zbl 0939.82023
Chayes, L.; Pemantle, Robin; Peres, Yuval
1997
Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on $$\mathbb{Z}^2$$. Zbl 0954.82007
Chayes, L.; McKellar, D.; Winn, B.
1998
On the rate of convergence for critical crossing probabilities. Zbl 1330.82025
Binder, I.; Chayes, L.; Lei, H. K.
2015
Colligative properties of solutions. I: Fixed concentrations. Zbl 1073.82010
Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln
2005
Colligative properties of solutions. II: Vanishing concentrations. Zbl 1073.82011
Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln
2005
A proof of the Gibbs-Thomson formula in the droplet formation regime. Zbl 1142.82330
Biskup, Marek; Chayes, Lincoln; Kotecký, Roman
2004
Large scale properties of the IIIC for 2D percolation. Zbl 1158.60042
Chayes, L.; Nolin, P.
2009
Ballistic behavior for biased self-avoiding walks. Zbl 1162.82305
Chayes, L.
2009
Percolation phenomena in low and high density systems. Zbl 1134.82011
Chayes, L.; Lebowitz, J. L.; Marinov, V.
2007
Phase transition and critical behavior in a model of organized criticality. Zbl 1034.60083
Biskup, M.; Blanchard, Ph.; Chayes, L.; Gandolfo, D.; Krüger, T.
2004
Transport and equilibrium in non-conservative systems. Zbl 1433.35402
Chayes, L.; Lei, H. K.
2018
On the rate of convergence for critical crossing probabilities. Zbl 1330.82025
Binder, I.; Chayes, L.; Lei, H. K.
2015
An aggregation equation with degenerate diffusion: qualitative property of solutions. Zbl 1288.35312
Chayes, Lincoln; Kim, Inwon; Yao, Yao
2013
The supercooled Stefan problem in one dimension. Zbl 1282.35376
Chayes, Lincoln; Kim, Inwon C.
2012
Statistical models of criminal behavior: the effects of law enforcement actions. Zbl 1202.62177
Jones, Paul A.; Brantingham, P. Jeffrey; Chayes, Lincoln R.
2010
The McKean-Vlasov equation in finite volume. Zbl 1186.82023
Chayes, L.; Panferov, V.
2010
On convergence to $$\mathrm{SLE}_6$$. I: Conformal invariance for fertain models of the bond-triangular type. Zbl 1203.82051
Binder, I.; Chayes, L.; Lei, H. K.
2010
On convergence to $$\mathrm{SLE}_6$$. II: Discrete approximations and extraction of Cardy’s formula for general domains. Zbl 1203.82052
Binder, I.; Chayes, L.; Lei, H. K.
2010
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
2009
Mean field analysis of low-dimensional systems. Zbl 1184.82006
Chayes, L.
2009
Large scale properties of the IIIC for 2D percolation. Zbl 1158.60042
Chayes, L.; Nolin, P.
2009
Ballistic behavior for biased self-avoiding walks. Zbl 1162.82305
Chayes, L.
2009
The phase diagram of the quantum Curie-Weiss model. Zbl 1152.82004
Chayes, Lincoln; Crawford, Nicholas; Ioffe, Dmitry; Levit, Anna
2008
A two-sided contracting Stefan problem. Zbl 1154.35477
Chayes, Lincoln; Kim, Inwon C.
2008
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D&rsquo;Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
2007
Quantum spin systems at positive temperature. Zbl 1125.82011
Biskup, Marek; Chayes, Lincoln; Starr, Shannon
2007
Large-deviations/thermodynamic approach to percolation on the complete graph. Zbl 1129.05045
Biskup, Marek; Chayes, Lincoln; Smith, S. A.
2007
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. Zbl 1141.82015
Chayes, Lincoln; Liggett, Thomas M.
2007
Cardy’s formula for certain models of the bond-triangular type. Zbl 1152.82009
Chayes, L.; Lei, H. K.
2007
On the absence of ferromagnetism in typical 2D ferromagnets. Zbl 1206.82014
Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A.
2007
Percolation phenomena in low and high density systems. Zbl 1134.82011
Chayes, L.; Lebowitz, J. L.; Marinov, V.
2007
Mean-field driven first-order phase transitions in systems with long-range interactions. Zbl 1142.82329
Biskup, Marek; Chayes, Lincoln; Crawford, Nicholas
2006
Pattern formation stability and collapse in 2D driven particle systems. Zbl 1135.82319
D&rsquo;Orsogna, M. R.; Chuang, Y.-li; Bertozzi, A. L.; Chayes, L. S.
2006
Random cluster models on the triangular lattice. Zbl 1149.82006
Chayes, L.; Lei, H. K.
2006
Orbital ordering in transition-metal compounds. I: The 120-degree model. Zbl 1074.82009
Biskup, M.; Chayes, L.; Nussinov, Z.
2005
Colligative properties of solutions. I: Fixed concentrations. Zbl 1073.82010
Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln
2005
Colligative properties of solutions. II: Vanishing concentrations. Zbl 1073.82011
Alexander, Kenneth S.; Biskup, Marek; Chayes, Lincoln
2005
Order by disorder, without order, in a two-dimensional spin system with $$O(2)$$ symmetry. Zbl 1162.82307
Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A.
2004
A proof of the Gibbs-Thomson formula in the droplet formation regime. Zbl 1142.82330
Biskup, Marek; Chayes, Lincoln; Kotecký, Roman
2004
Phase transition and critical behavior in a model of organized criticality. Zbl 1034.60083
Biskup, M.; Blanchard, Ph.; Chayes, L.; Gandolfo, D.; Krüger, T.
2004
Rigorous analysis of discontinuous phase transitions via mean-field bounds. Zbl 1051.82008
Biskup, Marek; Chayes, Lincoln
2003
Critical region for droplet formation in the two-dimensional Ising model. Zbl 1041.82004
Biskup, Marek; Chayes, Lincoln; Kotecký, Roman
2003
Intersecting loop models on $${\mathbb Z}^ d$$: rigorous results. Zbl 1068.82504
Chayes, L.; Pryadko, Leonid P.; Shtengel, Kirill
2000
Mixed percolation as a bridge between site and bond percolation. Zbl 1073.60539
Chayes, Lincoln; Schonmann, Roberto H.
2000
Coexistence of partially disordered/ordered phases in an extended Potts model. Zbl 0968.82009
Biskup, M.; Chayes, L.; Kotecký, R.
2000
The random cluster representation for the infinite-spin Ising model: Application to QCD pure gauge theory. Zbl 0979.82013
Blanchard, Ph.; Chayes, L.; Gandolfo, D.
2000
Discontinuity of the magnetization in diluted $$O(n)$$-models. Zbl 0991.82008
Chayes, Lincoln; Shlosman, Senya B.; Zagrebnov, Valentin A.
2000
Critical behavior for $$2$$D uniform and disordered ferromagnets at self-dual points. Zbl 0937.82023
Chayes, L.; Shtengel, K.
1999
Discontinuity of the spin-wave stiffness in the two-dimensional $$XY$$ model. Zbl 0941.82012
Chayes, L.
1998
Graphical representations for Ising systems in external fields. Zbl 0963.82009
Chayes, L.; Machta, J.; Redner, O.
1998
The isotropic O(3) model and the Wolff representation. Zbl 1001.82524
Campbell, M.; Chayes, L.
1998
Convergence to equilibrium of random Ising models in the Griffiths phase. Zbl 1079.82534
Alexander, K. S.; Cesi, F.; Chayes, L.; Maes, C.; Martinelli, F.
1998
On the unicity of discontinuous transitions in the two-dimensional Potts and Ashkin-Teller models. Zbl 0935.60087
Baker, T.; Chayes, L.
1998
Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on $$\mathbb{Z}^2$$. Zbl 0954.82007
Chayes, L.; McKellar, D.; Winn, B.
1998
Non-perturbative criteria for Gibbsian uniqueness. Zbl 0888.60092
Alexander, K. S.; Chayes, L.
1997
Staggered phases in diluted systems with continuous spins. Zbl 0888.60095
Chayes, L.; Kotecký, R.; Shlosman, S. B.
1997
No directed fractal percolation in zero area. Zbl 0939.82023
Chayes, L.; Pemantle, Robin; Peres, Yuval
1997
Hydrodynamic limits for one-dimensional particle systems with moving boundaries. Zbl 0869.60085
Chayes, L.; Swindle, G.
1996
On the length of the shortest crossing in the super-critical phase of Mandelbrot’s percolation process. Zbl 0849.60092
Chayes, L.
1996
Percolation and ferromagnetism on $$\mathbb Z^ 2$$: the $$q$$-state Potts cases. Zbl 0889.60096
Chayes, L.
1996
The analysis of the Widom-Rowlinson model by stochastic geometric methods. Zbl 0830.60100
Chayes, J. T.; Chayes, L.; Kotecký, R.
1995
Lifshitz’ law for the volume of a two-dimensional droplet at zero temperature. Zbl 1081.82544
Chayes, L.; Schonmann, R. H.; Swindle, G.
1995
Aspects of the fractal percolation process. Zbl 0844.60091
Chayes, Lincoln
1995
Invaded cluster algorithm for equilibrium critical points. Zbl 0951.82016
Machta, J.; Choi, Y. S.; Lucke, A.; Schweizer, T.; Chayes, L. V.
1995
On the absence of directed fractal percolation. Zbl 0827.60085
Chayes, L.
1995
On the behavior of the surface tension for spin systems in a correlated porous medium. Zbl 1081.82637
Chayes, L.; Machta, J.
1995
Aggregation and intermediate phases in dilute spin systems. Zbl 0840.60094
Chayes, L.; Kotecky, R.; Shlosman, S. B.
1995
A generalization of Poisson convergence to “Gibbs convergence” with applications to statistical mechanics. Zbl 0861.60093
Chayes, Lincoln; Klein, David
1994
Phase diagram and correlation length bounds for Mandelbrot aerogels. Zbl 0797.60087
Chayes, J. T.; Chayes, L.; Machta, J.
1993
The density of interfaces: A new first-passage problem. Zbl 0788.60120
Chayes, L.; Winfield, C.
1993
Gaussian fluctuations of connectivities in the subcritical regime of percolation. Zbl 0691.60090
Campanino, Massimo; Chayes, J. T.; Chayes, L.
1991
Phase transitions in Mandelbrot’s percolation process in three dimensions. Zbl 0734.60100
Chayes, J. T.; Chayes, L.; Grannan, E.; Swindle, G.
1991
The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation. Zbl 0698.60098
Alexander, K.; Chayes, J. T.; Chayes, L.
1990
The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094
Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H.
1989
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
1989
Discontinuity of the magnetization in one-dimensional $$1/| x-y| ^ 2$$ Ising and Potts models. Zbl 1084.82514
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M.
1988
Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110
Chayes, J. T.; Chayes, L.; Durrett, R.
1988
Exponential decay of connectivities in the two-dimensional Ising model. Zbl 0962.82522
Chayes, J. T.; Chayes, L.; Schonmann, R. H.
1987
Bernoulli percolation above threshold: An invasion percolation analysis. Zbl 0627.60099
Chayes, J. T.; Chayes, L.; Newman, C. M.
1987
On the upper critical dimension of Bernoulli percolation. Zbl 0627.60100
Chayes, J. T.; Chayes, L.
1987
The mean field bound for the order parameter of Bernoulli percolation. Zbl 0621.60111
Chayes, J. T.; Chayes, L.
1987
Bulk transport properties and exponent inequalities for random resistor and flow networks. Zbl 0617.60099
Chayes, J. T.; Chayes, L.
1986
Percolation and random media. Zbl 0661.60120
Chayes, J. T.; Chayes, L
1986
Critical points and intermediate phases on wedges of $${\mathbb{Z}}$$ d. Zbl 0636.60105
Chayes, J. T.; Chayes, L.
1986
Critical behavior of the two-dimensional first passage time. Zbl 0629.60109
Chayes, J. T.; Chayes, L.; Durrett, R.
1986
Random tubes as a model of pair correlations. Zbl 0596.60096
Chayes, J. T.; Chayes, L.
1985
Density functional approach to quantum lattice systems. Zbl 0632.46072
Chayes, J. T.; Chayes, L.; Ruskai, Mary Beth
1985
Nonperturbative analysis of a model of random surfaces. Zbl 1223.82024
Abraham, D. B.; Chayes, J. T.; Chayes, L.
1985
The inverse problem in classical statistical mechanics. Zbl 0553.46050
Chayes, J. T.; Chayes, L.; Lieb, Elliott H.
1984
On the validity of the inverse conjecture in classical density functional theory. Zbl 0586.60098
Chayes, J. T.; Chayes, L.
1984
Random surface correlation functions. Zbl 0572.60019
Abraham, D. B.; Chayes, J. T.; Chayes, L.
1984
On a sharp transition from area law to perimeter law in a system of random surfaces. Zbl 0529.60099
Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L.
1983
all top 5

### Cited by 805 Authors

 39 Chayes, Lincoln 25 Carrillo de la Plata, José Antonio 19 Degond, Pierre 18 Chayes, Jennifer Tour 17 Biskup, Marek 14 Aizenman, Michael 13 Grimmett, Geoffrey R. 12 Ioffe, Dmitry 11 Alexander, Kenneth S. 11 Duminil-Copin, Hugo 11 Newman, Charles Michael 11 Schonmann, Roberto Henrique 11 Shlosman, Senya B. 10 Sidoravicius, Vladas 9 Bertozzi, Andrea Louise 9 Häggström, Olle 9 Martinelli, Fabio 9 van Enter, Aernout C. D. 8 Campanino, Massimo 8 Kesten, Harry 7 Cassandro, Marzio 7 Kotecký, Roman 7 Merola, Immacolata 7 Peres, Yuval 7 Tassion, Vincent 6 Bellomo, Nicola 6 Camia, Federico 6 Durrett, Richard Timothy 6 Fornasier, Massimo 6 Motsch, Sébastien 6 van der Hofstad, Remco W. 6 Vares, Maria Eulalia 6 Velenik, Yvan 6 Zhang, Yu 5 Bodineau, Thierry 5 Borgs, Christian 5 Cerf, Raphaël 5 Crawford, Nicholas 5 Ding, Jian 5 Fetecau, Razvan C. 5 Houdebert, Pierre 5 Jahnel, Benedikt 5 Kozma, Gady 5 Lees, Benjamin 5 Machta, Jonathan 5 Meester, Ronald W. J. 5 Pemantle, Robin 5 Picco, Pierre 5 Ruiz, Jean 5 Slade, Gordon 5 Toninelli, Fabio Lucio 5 Wouts, Marc 4 Bissacot, Rodrigo 4 Bostan, Mihai 4 Endo, Eric Ossami 4 Frouvelle, Amic 4 Gandolfo, Daniel 4 González, María del Mar 4 Gualdani, Maria Pia 4 Gvalani, Rishabh S. 4 Hara, Takashi 4 Klar, Axel 4 Klein, Abel 4 Kozitsky, Yuri Vasil’evich 4 Külske, Christof 4 Lei, Helen K. 4 Liu, Jianguo 4 Lubetzky, Eyal 4 Markowich, Peter Alexander 4 Martin, Stephan 4 Mukhamedov, Farruh Maksutovich 4 Navoret, Laurent 4 Pavliotis, Grigorios A. 4 Presutti, Errico 4 Procacci, Aldo 4 Rams, Michał 4 Raoufi, Aran 4 Sanchis, Rémy 4 Sapozhnikov, Artëm 4 Sly, Allan 4 Stein, Daniel L. 4 Toninelli, Cristina 4 von Brecht, James H. 4 Wolfram, Marie-Therese 3 Ahlberg, Daniel 3 Armbruster, Dieter 3 Barbaro, Alethea B. T. 3 Barré, Julien 3 Binder, Ilia A. 3 Burger, Martin 3 Caffarelli, Luis Ángel 3 Caputo, Pietro 3 Choi, Young-Pil 3 Cioletti, Leandro Martins 3 Damron, Michael 3 de Lima, Bernardo N. B. 3 Dekking, Frederik Michel 3 Eftimie, Raluca 3 Ferrari, Pablo Augusto 3 Garet, Olivier ...and 705 more Authors
all top 5

### Cited in 143 Serials

 134 Journal of Statistical Physics 82 Communications in Mathematical Physics 38 Probability Theory and Related Fields 34 The Annals of Probability 32 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 22 Stochastic Processes and their Applications 19 Journal of Mathematical Physics 15 The Annals of Applied Probability 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Random Structures & Algorithms 8 Physica D 7 Letters in Mathematical Physics 7 Journal of Theoretical Probability 7 Discrete and Continuous Dynamical Systems. Series B 6 Advances in Applied Probability 6 Archive for Rational Mechanics and Analysis 6 Journal of Computational Physics 6 Journal of Nonlinear Science 5 Modern Physics Letters B 5 Physica A 5 Statistics & Probability Letters 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Statistical Mechanics: Theory and Experiment 4 International Journal of Modern Physics B 4 Advances in Mathematics 4 Inventiones Mathematicae 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Applied Mathematics Letters 4 European Journal of Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Electronic Journal of Probability 4 Mathematical Physics, Analysis and Geometry 4 SIAM Journal on Applied Dynamical Systems 4 Kinetic and Related Models 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Biology 3 Journal of Applied Probability 3 Journal of Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Calculus of Variations and Partial Differential Equations 3 Physical Review Letters 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Probability Surveys 3 Journal of Theoretical Biology 2 Israel Journal of Mathematics 2 Nuclear Physics. B 2 Bulletin of Mathematical Biology 2 Reviews in Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Annals of Mathematics. Second Series 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 Mathematical Biosciences and Engineering 2 Networks and Heterogeneous Media 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Problems of Information Transmission 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Scandinavian Actuarial Journal 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Theoretical Computer Science 1 Topology and its Applications 1 Operations Research Letters ...and 43 more Serials
all top 5

### Cited in 43 Fields

 457 Statistical mechanics, structure of matter (82-XX) 368 Probability theory and stochastic processes (60-XX) 116 Partial differential equations (35-XX) 65 Biology and other natural sciences (92-XX) 37 Combinatorics (05-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Quantum theory (81-XX) 23 Measure and integration (28-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Numerical analysis (65-XX) 20 Dynamical systems and ergodic theory (37-XX) 13 Computer science (68-XX) 11 Ordinary differential equations (34-XX) 11 Statistics (62-XX) 11 Fluid mechanics (76-XX) 11 Systems theory; control (93-XX) 9 Integral equations (45-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Operations research, mathematical programming (90-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

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