Ban, Jung-Chao; Chang, Chih-Hung; Hu, Wen-Guei; Lai, Guan-Yu; Wu, Yu-Liang Topological entropy and sequence entropy for Hom tree-shifts on unexpandable trees. (English) Zbl 07820010 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 108, 19 p. (2024). MSC: 34-XX 37-XX PDFBibTeX XMLCite \textit{J.-C. Ban} et al., Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 108, 19 p. (2024; Zbl 07820010) Full Text: DOI
Suzuki, Kohei On the ergodicity of interacting particle systems under number rigidity. (English) Zbl 07785757 Probab. Theory Relat. Fields 188, No. 1-2, 583-623 (2024). MSC: 37A60 37A50 37A30 37A25 60K35 60K50 82B21 PDFBibTeX XMLCite \textit{K. Suzuki}, Probab. Theory Relat. Fields 188, No. 1--2, 583--623 (2024; Zbl 07785757) Full Text: DOI arXiv OA License
Rahmatullaev, Muzaffar; Tukhtabaev, Akbarkhuja Some non-periodic \(p\)-adic generalized Gibbs measures for the Ising model on a Cayley tree of order \(k\). (English) Zbl 07749836 Math. Phys. Anal. Geom. 26, No. 3, Paper No. 22, 23 p. (2023). Reviewer: Sergey Ludkovsky (Moskva) MSC: 82B20 82B26 60D99 37P20 26E30 05C90 PDFBibTeX XMLCite \textit{M. Rahmatullaev} and \textit{A. Tukhtabaev}, Math. Phys. Anal. Geom. 26, No. 3, Paper No. 22, 23 p. (2023; Zbl 07749836) Full Text: DOI
Delgadino, Matías G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.; Smith, Scott A. Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions. (English) Zbl 07700884 Commun. Math. Phys. 401, No. 1, 275-323 (2023). MSC: 82-XX 37A60 PDFBibTeX XMLCite \textit{M. G. Delgadino} et al., Commun. Math. Phys. 401, No. 1, 275--323 (2023; Zbl 07700884) Full Text: DOI arXiv
Cioletti, L.; van Enter, A.; Ruviaro, R. The double transpose of the Ruelle operator. (English) Zbl 1523.37040 Monatsh. Math. 200, No. 3, 523-544 (2023). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D35 37C30 37C40 PDFBibTeX XMLCite \textit{L. Cioletti} et al., Monatsh. Math. 200, No. 3, 523--544 (2023; Zbl 1523.37040) Full Text: DOI arXiv
Cristadoro, Giampaolo; Degli Esposti, Mirko; Jakšić, Vojkan; Raquépas, Renaud Recurrence times, waiting times and universal entropy production estimators. (English) Zbl 1509.82075 Lett. Math. Phys. 113, No. 1, Paper No. 19, 26 p. (2023). MSC: 82C05 37B10 37B20 37M25 94A17 PDFBibTeX XMLCite \textit{G. Cristadoro} et al., Lett. Math. Phys. 113, No. 1, Paper No. 19, 26 p. (2023; Zbl 1509.82075) Full Text: DOI arXiv
Shriver, Christopher Free energy, Gibbs measures, and Glauber dynamics for nearest-neighbor interactions. (English) Zbl 1512.37013 Commun. Math. Phys. 398, No. 2, 679-702 (2023). MSC: 37A60 37A50 37D35 37E25 60K35 82C20 82C26 82B20 82B26 PDFBibTeX XMLCite \textit{C. Shriver}, Commun. Math. Phys. 398, No. 2, 679--702 (2023; Zbl 1512.37013) Full Text: DOI arXiv
Ban, Jung-Chao; Huang, Nai-Zhu Commutativity of entropy for nonautonomous systems on trees. (English) Zbl 1505.37052 J. Math. Anal. Appl. 517, No. 2, Article ID 126621, 15 p. (2023). MSC: 37E25 37B40 05C05 PDFBibTeX XMLCite \textit{J.-C. Ban} and \textit{N.-Z. Huang}, J. Math. Anal. Appl. 517, No. 2, Article ID 126621, 15 p. (2023; Zbl 1505.37052) Full Text: DOI
Kotorowicz, Monika; Kozitsky, Yuri Phase transitions in the Ising model on a hierarchical random graph based on the triangle. (English) Zbl 1520.82014 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405002, 15 p. (2022). MSC: 82B20 82B44 37A60 37A30 PDFBibTeX XMLCite \textit{M. Kotorowicz} and \textit{Y. Kozitsky}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 405002, 15 p. (2022; Zbl 1520.82014) Full Text: DOI
Austern, Morgane; Orbanz, Peter Limit theorems for distributions invariant under groups of transformations. (English) Zbl 1507.37005 Ann. Stat. 50, No. 4, 1960-1991 (2022). MSC: 37A30 37A50 60F05 60G09 62G20 PDFBibTeX XMLCite \textit{M. Austern} and \textit{P. Orbanz}, Ann. Stat. 50, No. 4, 1960--1991 (2022; Zbl 1507.37005) Full Text: DOI arXiv
Avraham-Re’em, Nachi On absolutely continuous invariant measures and Krieger-type of Markov subshifts. (English) Zbl 1511.37015 J. Anal. Math. 147, No. 1, 201-253 (2022). Reviewer: Hasan Akin (Trieste) MSC: 37B10 37B51 37A30 37A25 15B34 PDFBibTeX XMLCite \textit{N. Avraham-Re'em}, J. Anal. Math. 147, No. 1, 201--253 (2022; Zbl 1511.37015) Full Text: DOI arXiv
Burr, Michael; Das, Suddhasattwa; Wolf, Christian; Yang, Yun Computability of topological pressure on compact shift spaces beyond finite type. (English) Zbl 07559743 Nonlinearity 35, No. 8, 4250-4282 (2022). MSC: 03D80 37B10 37D35 37A35 37B40 37M99 PDFBibTeX XMLCite \textit{M. Burr} et al., Nonlinearity 35, No. 8, 4250--4282 (2022; Zbl 07559743) Full Text: DOI arXiv
Lopes, Artur O.; Mengue, Jairo K. On information gain, Kullback-Leibler divergence, entropy production and the involution kernel. (English) Zbl 07535670 Discrete Contin. Dyn. Syst. 42, No. 7, 3593-3627 (2022). MSC: 37D35 62B10 60G10 94A15 94A17 PDFBibTeX XMLCite \textit{A. O. Lopes} and \textit{J. K. Mengue}, Discrete Contin. Dyn. Syst. 42, No. 7, 3593--3627 (2022; Zbl 07535670) Full Text: DOI arXiv
Bakhtin, Yuri; Chen, Hong-Bin Dynamic polymers: invariant measures and ordering by noise. (English) Zbl 1502.37079 Probab. Theory Relat. Fields 183, No. 1-2, 167-227 (2022). MSC: 37L40 37L55 35R60 37H10 60K35 60K37 82D60 PDFBibTeX XMLCite \textit{Y. Bakhtin} and \textit{H.-B. Chen}, Probab. Theory Relat. Fields 183, No. 1--2, 167--227 (2022; Zbl 1502.37079) Full Text: DOI arXiv
Backes, Lucas; Rodrigues, Fagner B. Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems. (English) Zbl 1497.37020 Topol. Methods Nonlinear Anal. 59, No. 1, 303-330 (2022). MSC: 37B40 37A05 37D35 PDFBibTeX XMLCite \textit{L. Backes} and \textit{F. B. Rodrigues}, Topol. Methods Nonlinear Anal. 59, No. 1, 303--330 (2022; Zbl 1497.37020) Full Text: DOI arXiv
Mukhamedov, F. M.; Rahmatullaev, M. M.; Rasulova, M. A. Extremality of translation-invariant Gibbs measures for the \(\lambda \)-model on the binary Cayley tree. (English. Russian original) Zbl 1515.82055 Theor. Math. Phys. 210, No. 3, 411-424 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 470-484 (2022). MSC: 82B20 82B26 82B05 37E25 PDFBibTeX XMLCite \textit{F. M. Mukhamedov} et al., Theor. Math. Phys. 210, No. 3, 411--424 (2022; Zbl 1515.82055); translation from Teor. Mat. Fiz. 210, No. 3, 470--484 (2022) Full Text: DOI
Dajani, K.; Power, K. Equilibrium states for the random \(\beta\)-transformation through \(g\)-measures. (English) Zbl 1499.37067 Acta Math. Hung. 166, No. 1, 70-91 (2022). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 28D05 37D35 37A44 37A05 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{K. Power}, Acta Math. Hung. 166, No. 1, 70--91 (2022; Zbl 1499.37067) Full Text: DOI arXiv
Ban, Jung-Chao; Hu, Wen-Guei; Lai, Guan-Yu Large deviation principle of multidimensional multiple averages on \(\mathbb{N}^d\). (English) Zbl 1497.37010 Indag. Math., New Ser. 33, No. 2, 450-471 (2022). Reviewer: Thorsten Dickhaus (Bremen) MSC: 37A50 37A30 60F10 PDFBibTeX XMLCite \textit{J.-C. Ban} et al., Indag. Math., New Ser. 33, No. 2, 450--471 (2022; Zbl 1497.37010) Full Text: DOI arXiv
Ban, Jung-Chao; Chang, Chih-Hung; Wu, Yu-Liang; Wu, Yu-Ying Stem and topological entropy on Cayley trees. (English) Zbl 1494.37012 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 1, 40 p. (2022). MSC: 37B40 37E25 PDFBibTeX XMLCite \textit{J.-C. Ban} et al., Math. Phys. Anal. Geom. 25, No. 1, Paper No. 1, 40 p. (2022; Zbl 1494.37012) Full Text: DOI arXiv
Lopes, A. O.; Ruggiero, R. Nonequilibrium in thermodynamic formalism: the second law, gases and information geometry. (English) Zbl 1490.82009 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 21, 44 p. (2022). MSC: 82C03 82C05 37C30 37D35 62B11 PDFBibTeX XMLCite \textit{A. O. Lopes} and \textit{R. Ruggiero}, Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 21, 44 p. (2022; Zbl 1490.82009) Full Text: DOI arXiv
Chaika, Jon; Krishnan, Arjun Stationary coalescing walks on the lattice. II: Entropy. (English) Zbl 1482.37008 Nonlinearity 34, No. 10, 7045-7063 (2021). MSC: 37A35 37A05 37A50 60K35 60K37 PDFBibTeX XMLCite \textit{J. Chaika} and \textit{A. Krishnan}, Nonlinearity 34, No. 10, 7045--7063 (2021; Zbl 1482.37008) Full Text: DOI arXiv
Beltrán, Elmer R.; Bissacot, Rodrigo; Endo, Eric O. Infinite DLR measures and volume-type phase transitions on countable Markov shifts. (English) Zbl 1472.82010 Nonlinearity 34, No. 7, 4819-4843 (2021). MSC: 82B26 82B27 37B10 37C30 37D35 PDFBibTeX XMLCite \textit{E. R. Beltrán} et al., Nonlinearity 34, No. 7, 4819--4843 (2021; Zbl 1472.82010) Full Text: DOI arXiv
Won, Yong Sul An \(L_2\)-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice. (English) Zbl 1520.47082 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150004, 21 p. (2021). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D07 60K35 37L65 62-02 60J60 60H10 60H15 26D10 22E30 35B40 35H10 37L55 46N50 PDFBibTeX XMLCite \textit{Y. S. Won}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 1, Article ID 2150004, 21 p. (2021; Zbl 1520.47082) Full Text: DOI
Kucherenko, Tamara; Quas, Anthony; Wolf, Christian Multiple phase transitions on compact symbolic systems. (English) Zbl 1471.37038 Adv. Math. 385, Article ID 107768, 19 p. (2021). MSC: 37D35 37C40 37B10 37B40 PDFBibTeX XMLCite \textit{T. Kucherenko} et al., Adv. Math. 385, Article ID 107768, 19 p. (2021; Zbl 1471.37038) Full Text: DOI arXiv
Cioletti, L.; Melo, L.; Ruviaro, R.; Silva, E. A. On the dimension of the space of harmonic functions on transitive shift spaces. (English) Zbl 1470.37038 Adv. Math. 385, Article ID 107758, 24 p. (2021). MSC: 37C30 37D35 37A50 37A60 60F05 60J05 31A05 31C05 PDFBibTeX XMLCite \textit{L. Cioletti} et al., Adv. Math. 385, Article ID 107758, 24 p. (2021; Zbl 1470.37038) Full Text: DOI arXiv
Barbieri, Sebastián; Gómez, Ricardo; Marcus, Brian; Meyerovitch, Tom; Taati, Siamak Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited. (English) Zbl 1465.60082 Commun. Math. Phys. 382, No. 2, 1111-1164 (2021). MSC: 60K35 60G20 82B20 37B10 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Commun. Math. Phys. 382, No. 2, 1111--1164 (2021; Zbl 1465.60082) Full Text: DOI arXiv
Barbieri, Sebastián; Gómez, Ricardo; Marcus, Brian; Taati, Siamak Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups. (English) Zbl 1487.37040 Nonlinearity 33, No. 5, 2409-2454 (2020). MSC: 37D35 37B10 82B44 82B20 60K35 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Nonlinearity 33, No. 5, 2409--2454 (2020; Zbl 1487.37040) Full Text: DOI arXiv
Briceño, Raimundo An SMB approach for pressure representation in amenable virtually orderable groups. (English) Zbl 1501.37028 J. Anal. Math. 142, No. 2, 421-451 (2020). MSC: 37D35 20F60 37B40 PDFBibTeX XMLCite \textit{R. Briceño}, J. Anal. Math. 142, No. 2, 421--451 (2020; Zbl 1501.37028) Full Text: DOI arXiv
Bowen, Lewis Examples in the entropy theory of countable group actions. (English) Zbl 1452.37006 Ergodic Theory Dyn. Syst. 40, No. 10, 2593-2680 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A35 37A15 37A10 37B40 22D40 22F10 PDFBibTeX XMLCite \textit{L. Bowen}, Ergodic Theory Dyn. Syst. 40, No. 10, 2593--2680 (2020; Zbl 1452.37006) Full Text: DOI arXiv
Cioletti, Leandro; Lopes, Artur O.; Stadlbauer, Manuel Ruelle operator for continuous potentials and DLR-Gibbs measures. (English) Zbl 1444.37027 Discrete Contin. Dyn. Syst. 40, No. 8, 4625-4652 (2020). MSC: 37D35 37C30 37C40 PDFBibTeX XMLCite \textit{L. Cioletti} et al., Discrete Contin. Dyn. Syst. 40, No. 8, 4625--4652 (2020; Zbl 1444.37027) Full Text: DOI arXiv
Hutchcroft, Tom Indistinguishability of collections of trees in the uniform spanning forest. (English. French summary) Zbl 1444.60016 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 917-927 (2020). MSC: 60C05 60D05 37A20 05C80 60G50 60K35 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 917--927 (2020; Zbl 1444.60016) Full Text: DOI arXiv Euclid
Cioletti, L.; Lopes, A. O. Correlation inequalities and monotonicity properties of the Ruelle operator. (English) Zbl 1453.37028 Stoch. Dyn. 19, No. 6, Article ID 1950048, 31 p. (2019). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 37D35 37C30 82B20 PDFBibTeX XMLCite \textit{L. Cioletti} and \textit{A. O. Lopes}, Stoch. Dyn. 19, No. 6, Article ID 1950048, 31 p. (2019; Zbl 1453.37028) Full Text: DOI arXiv
Leplaideur, Renaud; Watbled, Frédérique Generalized Curie-Weiss model and quadratic pressure in ergodic theory. (Généralisation du modèle de Curie-Weiss et pression quadratique en théorie ergodique.) (English. French summary) Zbl 1430.37007 Bull. Soc. Math. Fr. 147, No. 2, 197-219 (2019). Reviewer: Eugen Grycko (Hagen) MSC: 37A60 37A35 37A50 82B20 82B30 37D35 82C26 PDFBibTeX XMLCite \textit{R. Leplaideur} and \textit{F. Watbled}, Bull. Soc. Math. Fr. 147, No. 2, 197--219 (2019; Zbl 1430.37007) Full Text: arXiv
Marcovici, Irène; Sablik, Mathieu; Taati, Siamak Ergodicity of some classes of cellular automata subject to noise. (English) Zbl 1466.37013 Electron. J. Probab. 24, Paper No. 41, 44 p. (2019). MSC: 37B15 37A35 60J05 60K35 PDFBibTeX XMLCite \textit{I. Marcovici} et al., Electron. J. Probab. 24, Paper No. 41, 44 p. (2019; Zbl 1466.37013) Full Text: DOI arXiv Euclid
Shwartz, Ofer Thermodynamic formalism for transient potential functions. (English) Zbl 1420.37017 Commun. Math. Phys. 366, No. 2, 737-779 (2019). MSC: 37D35 37C40 37A60 37A30 PDFBibTeX XMLCite \textit{O. Shwartz}, Commun. Math. Phys. 366, No. 2, 737--779 (2019; Zbl 1420.37017) Full Text: DOI arXiv
Taati, Siamak Statistical equilibrium in deterministic cellular automata. (English) Zbl 1402.37021 Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 145-164 (2018). MSC: 37B15 82B30 PDFBibTeX XMLCite \textit{S. Taati}, Emerg. Complex. Comput. 27, 145--164 (2018; Zbl 1402.37021) Full Text: DOI arXiv
Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo A variational principle for free semigroup actions. (English) Zbl 1457.37020 Adv. Math. 334, 450-487 (2018). MSC: 37B40 37C85 22F05 37D20 37D35 PDFBibTeX XMLCite \textit{M. Carvalho} et al., Adv. Math. 334, 450--487 (2018; Zbl 1457.37020) Full Text: DOI Link
Austin, Tim; Podder, Moumanti Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees. (English) Zbl 1391.82005 J. Stat. Phys. 170, No. 5, 932-951 (2018). MSC: 82B20 60B10 60K35 37A15 37A25 37A50 PDFBibTeX XMLCite \textit{T. Austin} and \textit{M. Podder}, J. Stat. Phys. 170, No. 5, 932--951 (2018; Zbl 1391.82005) Full Text: DOI arXiv
Laslier, Benoît; Toninelli, Fabio Lucio Lozenge tiling dynamics and convergence to the hydrodynamic equation. (English) Zbl 1431.37006 Commun. Math. Phys. 358, No. 3, 1117-1149 (2018). MSC: 37A60 37A50 35Q35 82B20 PDFBibTeX XMLCite \textit{B. Laslier} and \textit{F. L. Toninelli}, Commun. Math. Phys. 358, No. 3, 1117--1149 (2018; Zbl 1431.37006) Full Text: DOI arXiv
Alpeev, A. V. Announce of an entropy formula for a class of actions coming from Gibbs measures. (English. Russian original) Zbl 1386.37007 J. Math. Sci., New York 224, No. 2, 171-175 (2017); translation from Zap. Nauchn. Semin. POMI 448, 7-13 (2016). MSC: 37A35 22D40 37D30 PDFBibTeX XMLCite \textit{A. V. Alpeev}, J. Math. Sci., New York 224, No. 2, 171--175 (2017; Zbl 1386.37007); translation from Zap. Nauchn. Semin. POMI 448, 7--13 (2016) Full Text: DOI
Cioletti, Leandro; Lopes, Artur O. Interactions, specifications, DLR probabilities and the Ruelle operator in the one-dimensional lattice. (English) Zbl 1377.82011 Discrete Contin. Dyn. Syst. 37, No. 12, 6139-6152 (2017). MSC: 82B20 37D35 82B05 PDFBibTeX XMLCite \textit{L. Cioletti} and \textit{A. O. Lopes}, Discrete Contin. Dyn. Syst. 37, No. 12, 6139--6152 (2017; Zbl 1377.82011) Full Text: DOI arXiv
Chandgotia, Nishant Generalisation of the Hammersley-Clifford theorem on bipartite graphs. (English) Zbl 1374.60191 Trans. Am. Math. Soc. 369, No. 10, 7107-7137 (2017). MSC: 60K35 82B20 37B10 PDFBibTeX XMLCite \textit{N. Chandgotia}, Trans. Am. Math. Soc. 369, No. 10, 7107--7137 (2017; Zbl 1374.60191) Full Text: DOI arXiv
Chandgotia, Nishant Four-cycle free graphs, height functions, the pivot property and entropy minimality. (English) Zbl 1369.37013 Ergodic Theory Dyn. Syst. 37, No. 4, 1102-1132 (2017). MSC: 37B05 05C20 05C90 37B10 37E25 37B40 PDFBibTeX XMLCite \textit{N. Chandgotia}, Ergodic Theory Dyn. Syst. 37, No. 4, 1102--1132 (2017; Zbl 1369.37013) Full Text: DOI arXiv
Friesen, Martin Non-equilibrium dynamics for a Widom-Rowlinson type model with mutations. (English) Zbl 1364.82037 J. Stat. Phys. 166, No. 2, 317-353 (2017). MSC: 82C21 82C31 37A60 60J80 PDFBibTeX XMLCite \textit{M. Friesen}, J. Stat. Phys. 166, No. 2, 317--353 (2017; Zbl 1364.82037) Full Text: DOI arXiv
Goldstein, S.; Kuna, T.; Lebowitz, J. L.; Speer, E. R. Translation invariant extensions of finite volume measures. (English) Zbl 1360.82021 J. Stat. Phys. 166, No. 3-4, 765-782 (2017). MSC: 82B20 82B05 37A25 PDFBibTeX XMLCite \textit{S. Goldstein} et al., J. Stat. Phys. 166, No. 3--4, 765--782 (2017; Zbl 1360.82021) Full Text: DOI arXiv Link
Corona, L. A.; Salgado-García, R. Degenerated ground-states in a spin chain with pair interactions: a characterization by symbolic dynamics. (English) Zbl 1456.82237 J. Stat. Mech. Theory Exp. 2016, No. 12, Article ID 123208, 18 p. (2016). MSC: 82B23 37B10 PDFBibTeX XMLCite \textit{L. A. Corona} and \textit{R. Salgado-García}, J. Stat. Mech. Theory Exp. 2016, No. 12, Article ID 123208, 18 p. (2016; Zbl 1456.82237) Full Text: DOI arXiv
Briceño, Raimundo The topological strong spatial mixing property and new conditions for pressure approximation. (English) Zbl 1398.37021 Ergodic Theory Dyn. Syst. 38, No. 5, 1658-1696 (2018). Reviewer: Thomas B. Ward (Leeds) MSC: 37C40 37A25 37A60 37D35 PDFBibTeX XMLCite \textit{R. Briceño}, Ergodic Theory Dyn. Syst. 38, No. 5, 1658--1696 (2016; Zbl 1398.37021) Full Text: DOI arXiv
Procacci, Aldo; Scoppola, Benedetto; Scoppola, Elisabetta Probabilistic cellular automata for low-temperature 2-d Ising model. (English) Zbl 1360.82056 J. Stat. Phys. 165, No. 6, 991-1005 (2016). MSC: 82C20 82D60 37B15 68Q80 PDFBibTeX XMLCite \textit{A. Procacci} et al., J. Stat. Phys. 165, No. 6, 991--1005 (2016; Zbl 1360.82056) Full Text: DOI arXiv
Mukhamedov, Farrukh; Khakimov, Otabek Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree. (English) Zbl 1355.37106 Chaos Solitons Fractals 87, 190-196 (2016). MSC: 37N20 46S10 39A70 47S10 60K35 82B20 82B26 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Chaos Solitons Fractals 87, 190--196 (2016; Zbl 1355.37106) Full Text: DOI
Chandgotia, Nishant; Meyerovitch, Tom Markov random fields, Markov cocycles and the 3-colored chessboard. (English) Zbl 1356.37030 Isr. J. Math. 215, No. 2, 909-964 (2016). MSC: 37B50 37H15 60G60 60J99 37A20 PDFBibTeX XMLCite \textit{N. Chandgotia} and \textit{T. Meyerovitch}, Isr. J. Math. 215, No. 2, 909--964 (2016; Zbl 1356.37030) Full Text: DOI arXiv
Alpeev, Andrey The entropy of Gibbs measures on sofic groups. (English. Russian original) Zbl 1342.37007 J. Math. Sci., New York 215, No. 6, 649-658 (2016) and Zap. Nauchn. Semin. POMI 436, 34-48 (2015). MSC: 37A35 37A50 PDFBibTeX XMLCite \textit{A. Alpeev}, J. Math. Sci., New York 215, No. 6, 649--658 (2016; Zbl 1342.37007) Full Text: DOI
Adams, Stefan; Briceño, Raimundo; Marcus, Brian; Pavlov, Ronnie Representation and poly-time approximation for pressure of \(\mathbb Z^2\) lattice models in the non-uniqueness region. (English) Zbl 1341.82009 J. Stat. Phys. 162, No. 4, 1031-1067 (2016). MSC: 82B20 37D35 37B10 68W25 PDFBibTeX XMLCite \textit{S. Adams} et al., J. Stat. Phys. 162, No. 4, 1031--1067 (2016; Zbl 1341.82009) Full Text: DOI arXiv
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim Stochastic six-vertex model. (English) Zbl 1343.82013 Duke Math. J. 165, No. 3, 563-624 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82B23 82C24 15B51 82C22 82C20 37P30 81R12 60J10 PDFBibTeX XMLCite \textit{A. Borodin} et al., Duke Math. J. 165, No. 3, 563--624 (2016; Zbl 1343.82013) Full Text: DOI arXiv Euclid
Podvigin, I. V. On the rate of convergence in the individual ergodic theorem for the action of a semigroup. (Russian, English) Zbl 1374.37005 Mat. Tr. 18, No. 2, 93-111 (2015); translation in Sib. Adv. Math. 26, No. 2, 139-151 (2016). MSC: 37A30 37A50 37B50 PDFBibTeX XMLCite \textit{I. V. Podvigin}, Mat. Tr. 18, No. 2, 93--111 (2015; Zbl 1374.37005); translation in Sib. Adv. Math. 26, No. 2, 139--151 (2016) Full Text: DOI
Leplaideur, Renaud About phase transition and zero temperature. (English) Zbl 1334.82032 Cartier, Pierre (ed.) et al., Mathematics in the 21st century. Selected papers based on the presentations at the 6th world conference on 21st century mathematics, Lahore, Pakistan, March 6–9, 2013. Basel: Springer (ISBN 978-3-0348-0858-3/hbk; 978-3-0348-0859-0/ebook). Springer Proceedings in Mathematics & Statistics 98, 125-133 (2015). MSC: 82B26 37A60 PDFBibTeX XMLCite \textit{R. Leplaideur}, Springer Proc. Math. Stat. 98, 125--133 (2015; Zbl 1334.82032) Full Text: DOI
Leplaideur, Renaud Chaos: butterflies also generate phase transitions. (English) Zbl 1327.82059 J. Stat. Phys. 161, No. 1, 151-170 (2015). MSC: 82C26 37D35 37A60 PDFBibTeX XMLCite \textit{R. Leplaideur}, J. Stat. Phys. 161, No. 1, 151--170 (2015; Zbl 1327.82059) Full Text: DOI arXiv
Kari, Jarkko; Taati, Siamak Statistical mechanics of surjective cellular automata. (English) Zbl 1360.37044 J. Stat. Phys. 160, No. 5, 1198-1243 (2015). MSC: 37B15 37A60 37D35 37B10 82B20 82C41 PDFBibTeX XMLCite \textit{J. Kari} and \textit{S. Taati}, J. Stat. Phys. 160, No. 5, 1198--1243 (2015; Zbl 1360.37044) Full Text: DOI arXiv
Lopes, A. O.; Mengue, J. K.; Mohr, J.; Souza, R. R. Entropy and variational principle for one-dimensional lattice systems with a general a priori probability: positive and zero temperature. (English) Zbl 1352.37090 Ergodic Theory Dyn. Syst. 35, No. 6, 1925-1961 (2015). MSC: 37D35 37A35 37C30 PDFBibTeX XMLCite \textit{A. O. Lopes} et al., Ergodic Theory Dyn. Syst. 35, No. 6, 1925--1961 (2015; Zbl 1352.37090) Full Text: DOI arXiv
Casse, Jérôme; Marckert, Jean-François Markovianity of the invariant distribution of probabilistic cellular automata on the line. (English) Zbl 1371.37016 Stochastic Processes Appl. 125, No. 9, 3458-3483 (2015). MSC: 37B15 60K35 60J22 37A25 PDFBibTeX XMLCite \textit{J. Casse} and \textit{J.-F. Marckert}, Stochastic Processes Appl. 125, No. 9, 3458--3483 (2015; Zbl 1371.37016) Full Text: DOI arXiv
Cioletti, Leandro; Lopes, Artur O. Phase transitions in one-dimensional translation invariant systems: a Ruelle operator approach. (English) Zbl 1327.82030 J. Stat. Phys. 159, No. 6, 1424-1455 (2015). MSC: 82B26 82B20 82B41 37D35 37A35 37A50 37A60 PDFBibTeX XMLCite \textit{L. Cioletti} and \textit{A. O. Lopes}, J. Stat. Phys. 159, No. 6, 1424--1455 (2015; Zbl 1327.82030) Full Text: DOI arXiv
Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr; Oliveira, Maria João Dynamical Widom-Rowlinson model and its mesoscopic limit. (English) Zbl 1352.70043 J. Stat. Phys. 158, No. 1, 57-86 (2015). MSC: 70F45 34A34 37A60 PDFBibTeX XMLCite \textit{D. Finkelshtein} et al., J. Stat. Phys. 158, No. 1, 57--86 (2015; Zbl 1352.70043) Full Text: DOI arXiv
Marcus, Brian; Pavlov, Ronnie An integral representation for topological pressure in terms of conditional probabilities. (English) Zbl 1351.37142 Isr. J. Math. 207, Part 1, 395-433 (2015). MSC: 37D35 28D20 37A50 37B40 PDFBibTeX XMLCite \textit{B. Marcus} and \textit{R. Pavlov}, Isr. J. Math. 207, Part 1, 395--433 (2015; Zbl 1351.37142) Full Text: DOI arXiv
Bernardin, Cédric Diffusion of energy in chains of oscillators with conservative noise. (English) Zbl 1318.35123 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations II. Proceedings of the conference “Particle systems and partial differential equations, PS-PDEs II”, Braga, Portugal, December 12–13, 2013. Cham: Springer (ISBN 978-3-319-16636-0/hbk; 978-3-319-16637-7/ebook). Springer Proceedings in Mathematics & Statistics 129, 3-66 (2015). MSC: 35Q82 82C05 82C40 37A60 PDFBibTeX XMLCite \textit{C. Bernardin}, Springer Proc. Math. Stat. 129, 3--66 (2015; Zbl 1318.35123) Full Text: DOI arXiv HAL
Garibaldi, Eduardo; Thieullen, Philippe An ergodic description of ground states. (English) Zbl 1318.82009 J. Stat. Phys. 158, No. 2, 359-371 (2015). MSC: 82B20 37A60 37J50 PDFBibTeX XMLCite \textit{E. Garibaldi} and \textit{P. Thieullen}, J. Stat. Phys. 158, No. 2, 359--371 (2015; Zbl 1318.82009) Full Text: DOI HAL
Hulse, Paul Bernoulli Gibbs states for amenable group actions. (English) Zbl 1385.37002 Dyn. Syst. 30, No. 2, 137-148 (2015). MSC: 37A15 37A60 60K35 82B05 PDFBibTeX XMLCite \textit{P. Hulse}, Dyn. Syst. 30, No. 2, 137--148 (2015; Zbl 1385.37002) Full Text: DOI
Benettin, Giancarlo; Livi, Roberto; Parisi, Giorgio Ergodicity: how can it be broken? (English) Zbl 1320.82004 Vulpiani, Angelo (ed.) et al., Large deviations in physics. The legacy of the law of large numbers. Berlin: Springer (ISBN 978-3-642-54250-3/hbk; 978-3-642-54251-0/ebook). Lecture Notes in Physics 885, 29-70 (2014). MSC: 82B03 37A30 82C40 82B05 82C05 82B30 82B44 PDFBibTeX XMLCite \textit{G. Benettin} et al., Lect. Notes Phys. 885, 29--70 (2014; Zbl 1320.82004) Full Text: DOI
Martínez, Servet; Nagel, Werner STIT tessellations have trivial tail {\(\sigma\)}-algebra. (English) Zbl 1315.60018 Adv. Appl. Probab. 46, No. 3, 643-660 (2014). MSC: 60D05 05B45 60J25 60J75 37A25 PDFBibTeX XMLCite \textit{S. Martínez} and \textit{W. Nagel}, Adv. Appl. Probab. 46, No. 3, 643--660 (2014; Zbl 1315.60018) Full Text: DOI arXiv Euclid
Rozikov, U. A.; Murodov, Sh. N. Chain of evolution algebras of “chicken” population. (English) Zbl 1288.17023 Linear Algebra Appl. 450, 186-201 (2014). MSC: 17D99 37C99 60J27 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{Sh. N. Murodov}, Linear Algebra Appl. 450, 186--201 (2014; Zbl 1288.17023) Full Text: DOI
Lopes, A. O.; Mengue, J. K. Selection of measure and a large deviation principle for the general one-dimensional \(XY\) model. (English) Zbl 1308.37001 Dyn. Syst. 29, No. 1, 24-39 (2014). Reviewer: Meirong Zhang (Beijing) MSC: 37A05 37D35 PDFBibTeX XMLCite \textit{A. O. Lopes} and \textit{J. K. Mengue}, Dyn. Syst. 29, No. 1, 24--39 (2014; Zbl 1308.37001) Full Text: DOI
Chandgotia, Nishant; Han, Guangyue; Marcus, Brian; Meyerovitch, Tom; Pavlov, Ronnie One-dimensional Markov random fields, Markov chains and topological Markov fields. (English) Zbl 1283.37017 Proc. Am. Math. Soc. 142, No. 1, 227-242 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37B10 60J10 60G60 PDFBibTeX XMLCite \textit{N. Chandgotia} et al., Proc. Am. Math. Soc. 142, No. 1, 227--242 (2014; Zbl 1283.37017) Full Text: DOI arXiv
Rozikov, Utkir A multi-dimensional-time dynamical system. (English) Zbl 1331.37033 Qual. Theory Dyn. Syst. 12, No. 2, 361-375 (2013). MSC: 37C85 37C25 37C05 91G80 26A18 PDFBibTeX XMLCite \textit{U. Rozikov}, Qual. Theory Dyn. Syst. 12, No. 2, 361--375 (2013; Zbl 1331.37033) Full Text: DOI arXiv
Mukhamedov, Farrukh On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree. (English) Zbl 1280.46047 Math. Phys. Anal. Geom. 16, No. 1, 49-87 (2013). Reviewer: Hasan Akin (Gaziantep) MSC: 46S10 82B26 82B20 37N20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Math. Phys. Anal. Geom. 16, No. 1, 49--87 (2013; Zbl 1280.46047) Full Text: DOI arXiv
Marcus, Brian; Pavlov, Ronnie Approximating entropy for a class of \(\mathbb Z^2\) Markov random fields and pressure for a class of functions on \(\mathbb Z^2\) shifts of finite type. (English) Zbl 1276.37010 Ergodic Theory Dyn. Syst. 33, No. 1, 186-220 (2013). Reviewer: Piotr Oprocha (Kraków) MSC: 37B50 37B40 37A25 PDFBibTeX XMLCite \textit{B. Marcus} and \textit{R. Pavlov}, Ergodic Theory Dyn. Syst. 33, No. 1, 186--220 (2013; Zbl 1276.37010) Full Text: DOI arXiv
Berger, Arno; Evans, Steven N. A limit theorem for occupation measures of Lévy processes in compact groups. (English) Zbl 1291.60013 Stoch. Dyn. 13, No. 1, Paper No. 1250008, 16 p. (2013). Reviewer: Göran Högnäs (Åbo) MSC: 60B15 60G51 60F15 37A50 PDFBibTeX XMLCite \textit{A. Berger} and \textit{S. N. Evans}, Stoch. Dyn. 13, No. 1, Paper No. 1250008, 16 p. (2013; Zbl 1291.60013) Full Text: DOI arXiv
Baake, Michael; Grimm, Uwe On the notions of symmetry and aperiodicity for Delone sets. (English) Zbl 1351.37071 Symmetry 4, No. 4, 566-580 (2012). MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{M. Baake} and \textit{U. Grimm}, Symmetry 4, No. 4, 566--580 (2012; Zbl 1351.37071) Full Text: DOI arXiv
Mukhamedov, Farrukh A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two. (English) Zbl 1271.82018 Rep. Math. Phys. 70, No. 3, 385-406 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C26 37N20 39A70 60K35 82B20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Rep. Math. Phys. 70, No. 3, 385--406 (2012; Zbl 1271.82018) Full Text: DOI
Chazottes, J.-R.; Gambaudo, J.-M.; Hochman, M.; Ugalde, E. On the finite-dimensional marginals of shift-invariant measures. (English) Zbl 1263.37027 Ergodic Theory Dyn. Syst. 32, No. 5, 1485-1500 (2012). MSC: 37B50 37B10 37A25 PDFBibTeX XMLCite \textit{J. R. Chazottes} et al., Ergodic Theory Dyn. Syst. 32, No. 5, 1485--1500 (2012; Zbl 1263.37027) Full Text: DOI arXiv
Bousch, Thierry The distance of rearrangement, the dual functional of Bowen. (La distance de réarrangement, duale de la fonctionnelle de Bowen.) (French. English summary) Zbl 1282.37013 Ergodic Theory Dyn. Syst. 32, No. 3, 845-868 (2012). Reviewer: Victor Sharapov (Volgograd) MSC: 37B10 37C40 28A33 PDFBibTeX XMLCite \textit{T. Bousch}, Ergodic Theory Dyn. Syst. 32, No. 3, 845--868 (2012; Zbl 1282.37013) Full Text: DOI
Leplaideur, Renaud Flatness is a criterion for selection of maximizing measures. (English) Zbl 1266.82016 J. Stat. Phys. 147, No. 4, 728-757 (2012). Reviewer: Luc Rey-Bellet (Amherst) MSC: 82B20 37A60 PDFBibTeX XMLCite \textit{R. Leplaideur}, J. Stat. Phys. 147, No. 4, 728--757 (2012; Zbl 1266.82016) Full Text: DOI arXiv
Rozikov, U. A.; Tian, J. P. Evolution algebras generated by Gibbs measures. (English) Zbl 1260.46031 Lobachevskii J. Math. 32, No. 4, 270-277 (2011). MSC: 46H70 05C25 05C90 37A99 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{J. P. Tian}, Lobachevskii J. Math. 32, No. 4, 270--277 (2011; Zbl 1260.46031) Full Text: DOI arXiv
Baraviera, A. T.; Cioletti, L. M.; Lopes, A. O.; Mohr, Joana; Souza, Rafael Rigao On the general one-dimensional \(XY\) model: positive and zero temperature, selection and non-selection. (English) Zbl 1362.37022 Rev. Math. Phys. 23, No. 10, 1063-1113 (2011). MSC: 37A60 37A30 37A50 37D35 82B05 PDFBibTeX XMLCite \textit{A. T. Baraviera} et al., Rev. Math. Phys. 23, No. 10, 1063--1113 (2011; Zbl 1362.37022) Full Text: DOI arXiv
Belitsky, Vladimir; Pereira, Antonio Luiz; Prado, Fernando Pigeard de Almeida Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model for an asset market. (English) Zbl 1223.91023 Stoch. Dyn. 11, No. 4, 715-752 (2011). MSC: 91B25 91B55 91B69 91B80 37N40 39A60 PDFBibTeX XMLCite \textit{V. Belitsky} et al., Stoch. Dyn. 11, No. 4, 715--752 (2011; Zbl 1223.91023) Full Text: DOI arXiv
Chazottes, J.-R.; Gambaudo, J.-M.; Ugalde, E. Zero-temperature limit of one-dimensional Gibbs states via renormalization: the case of locally constant potentials. (English) Zbl 1230.37018 Ergodic Theory Dyn. Syst. 31, No. 4, 1109-1161 (2011). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 37A60 82B05 82B28 37C30 37E20 PDFBibTeX XMLCite \textit{J. R. Chazottes} et al., Ergodic Theory Dyn. Syst. 31, No. 4, 1109--1161 (2011; Zbl 1230.37018) Full Text: DOI arXiv
de la Llave, Rafael; Valdinoci, Enrico Ground states and critical points for Aubry-Mather theory in Statistical mechanics. (English) Zbl 1196.82095 J. Nonlinear Sci. 20, No. 2, 153-218 (2010). MSC: 82C20 37J45 82C22 37A60 82C27 PDFBibTeX XMLCite \textit{R. de la Llave} and \textit{E. Valdinoci}, J. Nonlinear Sci. 20, No. 2, 153--218 (2010; Zbl 1196.82095) Full Text: DOI
Besbes, Adnene Uniform ergodic theorems on aperiodic linearly repetitive tilings and applications. (English) Zbl 1215.82007 Rev. Math. Phys. 20, No. 5, 597-623 (2008). MSC: 82B20 37B50 82B05 PDFBibTeX XMLCite \textit{A. Besbes}, Rev. Math. Phys. 20, No. 5, 597--623 (2008; Zbl 1215.82007) Full Text: DOI
Baraviera, Alexandre Tavares; Disconzi, Marcelo Mendes Asymptotic states in coupled map lattices. (English) Zbl 1143.37329 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 2, 285-311 (2008). MSC: 37L60 37A25 37B10 82C20 37C40 37A05 PDFBibTeX XMLCite \textit{A. T. Baraviera} and \textit{M. M. Disconzi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 2, 285--311 (2008; Zbl 1143.37329) Full Text: DOI
Gurevich, B. M.; Tempelman, A. A. A Breiman type theorem for Gibbs measures. (English) Zbl 1141.28302 J. Dyn. Control Syst. 13, No. 3, 363-371 (2007). MSC: 28D15 28D20 37A15 37A30 60G60 82B20 PDFBibTeX XMLCite \textit{B. M. Gurevich} and \textit{A. A. Tempelman}, J. Dyn. Control Syst. 13, No. 3, 363--371 (2007; Zbl 1141.28302) Full Text: DOI
Martinelli, Fabio; Sinclair, Alistair; Weitz, Dror Fast mixing for independent sets, colorings, and other models on trees. (English) Zbl 1138.82020 Random Struct. Algorithms 31, No. 2, 134-172 (2007). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82C20 37A60 PDFBibTeX XMLCite \textit{F. Martinelli} et al., Random Struct. Algorithms 31, No. 2, 134--172 (2007; Zbl 1138.82020) Full Text: DOI
Gurevich, B. M.; Tempelman, A. A. Markov approximation of homogeneous lattice random fields. (English) Zbl 1064.60105 Probab. Theory Relat. Fields 131, No. 4, 519-527 (2005). MSC: 60G60 28D20 37C85 82B20 PDFBibTeX XMLCite \textit{B. M. Gurevich} and \textit{A. A. Tempelman}, Probab. Theory Relat. Fields 131, No. 4, 519--527 (2005; Zbl 1064.60105) Full Text: DOI
Lyons, Russell; Steif, Jeffrey E. Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination. (English) Zbl 1068.82010 Duke Math. J. 120, No. 3, 515-575 (2003). Reviewer: Arnaud Le Ny (Orsay) MSC: 82B26 28D05 60G10 82B20 37A05 37A25 PDFBibTeX XMLCite \textit{R. Lyons} and \textit{J. E. Steif}, Duke Math. J. 120, No. 3, 515--575 (2003; Zbl 1068.82010) Full Text: DOI arXiv
Vogel, Thomas On the asymptotic linking number. (English) Zbl 1015.57018 Proc. Am. Math. Soc. 131, No. 7, 2289-2297 (2003). Reviewer: Július Korbaš (Bratislava) MSC: 57R25 37C10 57R30 76W05 PDFBibTeX XMLCite \textit{T. Vogel}, Proc. Am. Math. Soc. 131, No. 7, 2289--2297 (2003; Zbl 1015.57018) Full Text: DOI arXiv
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. Analysis and geometry on configuration spaces. (English) Zbl 0914.58028 J. Funct. Anal. 154, No. 2, 444-500 (1998). MSC: 58J05 37A99 58J60 58J65 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 154, No. 2, 444--500 (1998; Zbl 0914.58028) Full Text: DOI Link
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. (English) Zbl 0892.60008 J. Funct. Anal. 149, No. 2, 415-469 (1997). MSC: 60B05 60K35 28D05 37A99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 149, No. 2, 415--469 (1997; Zbl 0892.60008) Full Text: DOI
Petersen, Karl; Schmidt, Klaus Symmetric Gibbs measures. (English) Zbl 0873.28008 Trans. Am. Math. Soc. 349, No. 7, 2775-2811 (1997). MSC: 28D05 60G09 60J05 60K35 82B05 37E99 PDFBibTeX XMLCite \textit{K. Petersen} and \textit{K. Schmidt}, Trans. Am. Math. Soc. 349, No. 7, 2775--2811 (1997; Zbl 0873.28008) Full Text: DOI arXiv
Jiang, Miaohua; Mazel, Alexander E. Uniqueness and exponential decay of correlations for some two-dimensional spin lattice systems. (English) Zbl 1042.82520 J. Stat. Phys. 82, No. 3-4, 797-821 (1996). MSC: 82B20 82B10 37N20 PDFBibTeX XMLCite \textit{M. Jiang} and \textit{A. E. Mazel}, J. Stat. Phys. 82, No. 3--4, 797--821 (1996; Zbl 1042.82520) Full Text: DOI
Häggström, Olle A subshift of finite type that is equivalent to the Ising model. (English) Zbl 0834.58027 Ergodic Theory Dyn. Syst. 15, No. 3, 543-556 (1995). Reviewer: M.Hurley (Cleveland) MSC: 37A99 37E99 PDFBibTeX XMLCite \textit{O. Häggström}, Ergodic Theory Dyn. Syst. 15, No. 3, 543--556 (1995; Zbl 0834.58027) Full Text: DOI
Burton, Robert; Steif, Jeffrey E. New results on measures of maximal entropy. (English) Zbl 0826.28009 Isr. J. Math. 89, No. 1-3, 275-300 (1995). Reviewer: M.Sears (Johannesburg) MSC: 28D20 37A99 PDFBibTeX XMLCite \textit{R. Burton} and \textit{J. E. Steif}, Isr. J. Math. 89, No. 1--3, 275--300 (1995; Zbl 0826.28009) Full Text: DOI
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Burton, Robert; Steif, Jeffrey E. Non-uniqueness of measures of maximal entropy for subshifts of finite type. (English) Zbl 0807.58023 Ergodic Theory Dyn. Syst. 14, No. 2, 213-235 (1994). Reviewer: M.Denker (Göttingen) MSC: 37A99 28D15 54H20 PDFBibTeX XMLCite \textit{R. Burton} and \textit{J. E. Steif}, Ergodic Theory Dyn. Syst. 14, No. 2, 213--235 (1994; Zbl 0807.58023) Full Text: DOI
Lebowitz, Joel L.; Maes, Christian; Speer, Eugene R. Statistical mechanics of probabilistic cellular automata. (English) Zbl 1083.82522 J. Stat. Phys. 59, No. 1-2, 117-170 (1990). MSC: 82C05 37B15 68Q80 PDFBibTeX XMLCite \textit{J. L. Lebowitz} et al., J. Stat. Phys. 59, No. 1--2, 117--170 (1990; Zbl 1083.82522) Full Text: DOI