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Qidong He, Ian Jauslin, “High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint”, J Stat Phys, 191:10 (2024)
Claude Godrèche, Marco Picco, “Interfaces of the two-dimensional voter model in the context of SLE”, J. Stat. Mech., 2024:11 (2024), 113203
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Steffen Betsch, “Structural Properties of Gibbsian Point Processes in Abstract Spaces”, J Theor Probab, 36:4 (2023), 2501
N. Drago, C. J. F. van de Ven, “DLR–KMS correspondence on lattice spin systems”, Lett Math Phys, 113:4 (2023)
Linda Khachatryan, Boris S. Nahapetian, “On the Characterization of a Finite Random Field by Conditional Distribution and its Gibbs Form”, J Theor Probab, 36:3 (2023), 1743
Ron Peled, Yinon Spinka, “Rigidity of proper colorings of ${\mathbb {Z}}^{d}$”, Invent. math., 232:1 (2023), 79
Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science Series, Ergodic Theory, 2023, 369
Alexander Glazman, Ioan Manolescu, “Structure of Gibbs measure for planar FK-percolation and Potts models”, Prob. Math. Phys., 4:2 (2023), 209
Jorge Littin, Cesar Maldonado, “Loss of Stability in a 1D Spin Model with a Long-Range Random Hamiltonian”, J Stat Phys, 191:1 (2023)
Mathieu Lewin, “Coulomb and Riesz gases: The known and the unknown”, Journal of Mathematical Physics, 63:6 (2022)
Linda Khachatryan, “Description of random fields by systems of conditional distributions”, Armen.J.Math., 14:8 (2022), 1
Jung-Chao Ban, Chih-Hung Chang, Yu-Liang Wu, Yu-Ying Wu, “Stem and topological entropy on Cayley trees”, Math Phys Anal Geom, 25:1 (2022)
Elmer R Beltrán, Rodrigo Bissacot, Eric O Endo, “Infinite DLR measures and volume-type phase transitions on countable Markov shifts”, Nonlinearity, 34:7 (2021), 4819
Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science, 2021, 1
Farrukh Mukhamedov, Otabek Khakimov, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, Advances in Non-Archimedean Analysis and Applications, 2021, 115
Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky, Anatoly Yambartsev, “Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria”, Journal of Mathematical Physics, 62:10 (2021)
Emmanuel Abbe, Enric Boix-Adserà, “An information-percolation bound for spin synchronization on general graphs”, Ann. Appl. Probab., 30:3 (2020)
ANTONIO BLANCA, YUXUAN CHEN, DAVID GALVIN, DANA RANDALL, PRASAD TETALI, “Phase Coexistence for the Hard-Core Model on ℤ2”, Combinator. Probab. Comp., 28:1 (2019), 1
Emmanuel Abbe, Enric Boix Adsera, 2019 IEEE International Symposium on Information Theory (ISIT), 2019, 697
Ioannis Papageorgiou, “The log-Sobolev inequality with quadratic interactions”, Journal of Mathematical Physics, 59:8 (2018)
Ohad Noy Feldheim, Ron Peled, “Rigidity of 3-colorings of the discrete torus”, Ann. Inst. H. Poincaré Probab. Statist., 54:2 (2018)
Ian Jauslin, Joel L. Lebowitz, “Crystalline Ordering and Large Fugacity Expansion for Hard-Core Lattice Particles”, J. Phys. Chem. B, 122:13 (2018), 3266
Alberto Gandolfi, “Random-Cluster Correlation Inequalities for Gibbs Fields”, J Stat Phys, 173:2 (2018), 249
Jacques Demongeot, Sylvain Sené, “Phase transitions in stochastic non-linear threshold Boolean automata networks on Z2: The boundary impact”, Advances in Applied Mathematics, 98 (2018), 77
Ian Jauslin, Joel L. Lebowitz, “High-Fugacity Expansion, Lee–Yang Zeros, and Order–Disorder Transitions in Hard-Core Lattice Systems”, Commun. Math. Phys., 364:2 (2018), 655
Raimundo Bricen͂o, Ronnie Pavlov, “Strong Spatial Mixing in Homomorphism Spaces”, SIAM J. Discrete Math., 31:3 (2017), 2110
Jorge Littin, Pierre Picco, “Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model”, Journal of Mathematical Physics, 58:7 (2017)
Trisha Nath, Deepak Dhar, R. Rajesh, “Stability of columnar order in assemblies of hard rectangles or squares”, EPL, 114:1 (2016), 10003
P. Butera, M. Pernici, “Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension”, Physica A: Statistical Mechanics and its Applications, 444 (2016), 220
Manuel González-Navarrete, Eugene Pechersky, Anatoly Yambartsev, “Phase Transition in Ferromagnetic Ising Model with a Cell-Board External Field”, J Stat Phys, 162:1 (2016), 139
Stefan Adams, Raimundo Briceño, Brian Marcus, Ronnie Pavlov, “Representation and Poly-time Approximation for Pressure of $\mathbb {Z}^2$ Lattice Models in the Non-uniqueness Region”, J Stat Phys, 162:4 (2016), 1031
Sarah Cannon, Joshua J. Daymude, Dana Randall, Andréa W. Richa, Proceedings of the 2016 ACM Symposium on Principles of Distributed Computing, 2016, 279
Farrukh Mukhamedov, Mutlay Dogan, “On P-Adic λ-Model on the Cayley Tree II: Phase Transitions”, Reports on Mathematical Physics, 75:1 (2015), 25
Leslie Ann Goldberg, Mark Jerrum, Colin McQuillan, “Approximating the partition function of planar two-state spin systems”, Journal of Computer and System Sciences, 81:1 (2015), 330
Juan C. Vera, Eric Vigoda, Linji Yang, “Improved Bounds on the Phase Transition for the Hard-Core Model in 2 Dimensions”, SIAM J. Discrete Math., 29:4 (2015), 1895
Farrukh Mukhamedov, Mansoor Saburov, Otabek Khakimov, “Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree”, J. Stat. Mech., 2015:5 (2015), P05032
David Galvin, Jeff Kahn, Dana Randall, Gregory B. Sorkin, “Phase coexistence and torpid mixing in the 3-coloring model on ${\mathbb Z}^d$”, SIAM J. Discrete Math., 29:3 (2015), 1223
Farrukh Mukhamedov, “Renormalization Method in p-Adic λ-Model on the Cayley Tree”, Int J Theor Phys, 54:10 (2015), 3577
Farrukh Mukhamedov, Mutlay Dogan, Hasan Akin, “Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree”, J. Stat. Mech., 2014:10 (2014), P10031
R. B. Israel, Wiley StatsRef: Statistics Reference Online, 2014
Yakov Pesin, “On the work of Sarig on countable Markov chains and thermodynamic formalism”, Journal of Modern Dynamics, 8:1 (2014), 1
Ron Peled, Wojciech Samotij, “Odd cutsets and the hard-core model on $\mathbb{Z}^{d}$”, Ann. Inst. H. Poincaré Probab. Statist., 50:3 (2014)
Farrukh Mukhamedov, “On the strong phase transition for the one-dimensional countable statep-adic Potts model”, J. Stat. Mech., 2014:1 (2014), P01007
AHMET SENSOY, “ONE-DIMENSIONAL LONG RANGE WIDOM–ROWLINSON MODEL WITH PERIODIC PARTICLE ACTIVITIES”, Mod. Phys. Lett. B, 27:30 (2013), 1350218
Cesar Maldonado, Raúl Salgado-García, “Markov approximations of Gibbs measures for long-range interactions on 1D lattices”, J. Stat. Mech., 2013:08 (2013), P08012
Antonio Blanca, David Galvin, Dana Randall, Prasad Tetali, Lecture Notes in Computer Science, 8096, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2013, 379
Juan C. Vera, Eric Vigoda, Linji Yang, Lecture Notes in Computer Science, 8096, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2013, 699
Farrukh Mukhamedov, Hasan Ak{\i}n, “Phase transitions forp-adic Potts model on the Cayley tree of order three”, J. Stat. Mech., 2013:07 (2013), P07014
Ricardo Restrepo, Jinwoo Shin, Prasad Tetali, Eric Vigoda, Linji Yang, “Improved mixing condition on the grid for counting and sampling independent sets”, Probab. Theory Relat. Fields, 156:1-2 (2013), 75
Farrukh Mukhamedov, “On Dynamical Systems and Phase Transitions for q + 1-state p-adic Potts Model on the Cayley Tree”, Math Phys Anal Geom, 16:1 (2013), 49
Avik Ray, Sujay Sanghavi, Sanjay Shakkottai, 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2012, 2024
Joel L. Lebowitz, David Ruelle, Eugene R. Speer, “Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems”, Journal of Mathematical Physics, 53:9 (2012)
Jean-René Chazottes, Gerhard Keller, Mathematics of Complexity and Dynamical Systems, 2012, 1422
Farrukh Mukhamedov, “A Dynamical System Approach to Phase Transitions for p-Adic Potts Model on the Cayley Tree of Order Two”, Reports on Mathematical Physics, 70:3 (2012), 385
Mehmet Koseoglu, Ezhan Karasan, Murat Alanyali, “Effect of network density and size on the short-term fairness performance of CSMA systems”, J Wireless Com Network, 2012:1 (2012)
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Sarah Miracle, Dana Randall, Amanda Pascoe Streib, Lecture Notes in Computer Science, 6845, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2011, 652
Eva Löcherbach, Enza Orlandi, “Neighborhood radius estimation for variable-neighborhood random fields”, Stochastic Processes and their Applications, 121:9 (2011), 2151
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Jacques Demongeot, Sylvain Sené, Proceedings of the 9th International Conference on Computational Methods in Systems Biology, 2011, 55
Ricardo Restrepo, Jinwoo Shin, Prasad Tetali, Eric Vigoda, Linji Yang, 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, 2011, 140
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Jacques Demongeot, Eric Goles, Sylvain Sené, 2009 International Conference on Advanced Information Networking and Applications Workshops, 2009, 908
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Jacques Demongeot, Sylvain Sené, “Boundary conditions and phase transitions in neural networks. Simulation results”, Neural Networks, 21:7 (2008), 962
Hongbo Zhou, Zhiming Zheng, 2008 19th International Conference on Pattern Recognition, 2008, 1
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Jacques Demongeot, Adrien Elena, Sylvain Sené, “Robustness in Regulatory Networks: A Multi-Disciplinary Approach”, Acta Biotheor, 56:1-2 (2008), 27
David Galvin, “Sampling independent sets in the discrete torus”, Random Struct Algorithms, 33:3 (2008), 356
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Sam Greenberg, Dana Randall, Lecture Notes in Computer Science, 4627, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2007, 540
Jérôme Darbon, Marc Sigelle, “Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization”, J Math Imaging Vis, 26:3 (2006), 261
David Galvin, Prasad Tetali, “Slow mixing of Glauber dynamics for the hard‐core model on regular bipartite graphs”, Random Struct Algorithms, 28:4 (2006), 427
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Alexander D. Scott, Alan D. Sokal, “The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lov�sz Local Lemma”, J Stat Phys, 118:5-6 (2005), 1151
Luigi Accardi, Francesco Fidaleo, “Non-homogeneous quantum Markov states and quantum Markov fields”, Journal of Functional Analysis, 200:2 (2003), 324
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