Jansen, Sabine; Neumann, Jan Philipp Hierarchical cubes: Gibbs measures and decay of correlations. (English) Zbl 07965307 J. Stat. Phys. 191, No. 12, Paper No. 161, 27 p. (2024). MSC: 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Siddiqi, Salman Decay of correlations for certain isometric extensions of Anosov flows. (English) Zbl 1517.37035 Ergodic Theory Dyn. Syst. 43, No. 4, 1382-1432 (2023). MSC: 37D20 37C30 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sanchis, Rémy; dos Santos, Diogo C.; Silva, Roger W. C. Constrained-degree percolation in random environment. (English. French summary) Zbl 1503.60153 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 1887-1899 (2022). MSC: 60K35 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pawelec, Łukasz; Urbański, Mariusz; Zdunik, Anna Thin annuli property and exponential distribution of return times for weakly Markov systems. (English) Zbl 1459.37008 Fundam. Math. 251, No. 3, 269-316 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A50 37A30 37B20 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, José F. Nonuniformly hyperbolic attractors. Geometric and probabilistic aspects. (English) Zbl 1459.37001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-62813-0/hbk; 978-3-030-62816-1/pbk; 978-3-030-62814-7/ebook). xi, 259 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37-02 37Dxx 37A30 37A50 37C40 37C30 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Lima, Paulo C. The BEG model in the disordered region and at the antiquadrupolar-disordered line of parameters. (English) Zbl 1434.82022 J. Stat. Phys. 178, No. 1, 265-280 (2020). MSC: 82B20 82B44 82B26 × Cite Format Result Cite Review PDF Full Text: DOI
Savvidy, George; Savvidy, Konstantin Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers. (English) Zbl 1380.65015 Chaos Solitons Fractals 107, 244-250 (2018). MSC: 65C10 × Cite Format Result Cite Review PDF Full Text: DOI
Jakobson, Michael Mixing properties of some maps with countable Markov partitions. (English) Zbl 1398.37008 Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2773-3/pbk; 978-1-4704-4224-8/ebook). Contemporary Mathematics 698, 181-194 (2017). MSC: 37A25 37A50 37C40 37D35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Castro, Armando; Nascimento, Teófilo Statistical properties of the maximal entropy measure for partially hyperbolic attractors. (English) Zbl 1381.37040 Ergodic Theory Dyn. Syst. 37, No. 4, 1060-1101 (2017). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D30 37A35 37A60 37C70 37D35 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakano, Yushi Stochastic stability for fiber expanding maps via a perturbative spectral approach. (English) Zbl 1362.37060 Stoch. Dyn. 16, No. 4, Article ID 1650011, 15 p. (2016). Reviewer: Tao Chen (Long Island City) MSC: 37C30 37H10 37F15 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beffara, V.; Duminil-Copin, H.; Smirnov, S. On the critical parameters of the \(q \geqslant 4\) random-cluster model on isoradial graphs. (On the critical parameters of the \(q \leqslant 4\) random-cluster model on isoradial graphs.) (English) Zbl 1342.82018 J. Phys. A, Math. Theor. 48, No. 48, Article ID 484003, 28 p. (2015). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82B20 82B43 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mayer, Volker; Urbański, Mariusz Countable alphabet random subhifts of finite type with weakly positive transfer operator. (English) Zbl 1360.37138 J. Stat. Phys. 160, No. 5, 1405-1431 (2015). MSC: 37H05 37A50 37B10 37D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Simoi, Jacopo; Tóth, Imre Péter An expansion estimate for dispersing planar billiards with corner points. (English) Zbl 1350.37041 Ann. Henri Poincaré 15, No. 6, 1223-1243 (2014). MSC: 37D50 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. (English) Zbl 1337.37019 Math. Z. 276, No. 3-4, 1001-1048 (2014); erratum ibid. 282, No. 1-2, 615-621 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C10 37C45 37C40 37D30 37D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Szostakiewicz, Michał; Urbański, Mariusz; Zdunik, Anna Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces. (English) Zbl 1343.37037 Monatsh. Math. 174, No. 1, 141-162 (2014). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F50 32H50 37D35 37C40 28D05 37A25 × Cite Format Result Cite Review PDF Full Text: DOI
Slipantschuk, Julia; Bandtlow, Oscar F; Just, Wolfram On the relation between Lyapunov exponents and exponential decay of correlations. (English) Zbl 1268.37036 J. Phys. A, Math. Theor. 46, No. 7, Article ID 075101, 16 p. (2013). Reviewer: Anke Pohl (Göttingen) MSC: 37D45 37C30 37E05 37C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baladi, Viviane; Gouëzel, Sébastien Banach spaces for piecewise cone-hyperbolic maps. (English) Zbl 1226.37008 J. Mod. Dyn. 4, No. 1, 91-137 (2010). Reviewer: Fredrik Strömberg (Darmstadt) MSC: 37C30 37D50 46B99 46E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Obayashi, Ippei Exponential decay of correlations for surface semiflows with an expanding direction. (English) Zbl 1184.37008 J. Math. Kyoto Univ. 49, No. 2, 427-440 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37A20 37A30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Chernov, Nikolai; Zhang, Hong-Kun On statistical properties of hyperbolic systems with singularities. (English) Zbl 1181.37052 J. Stat. Phys. 136, No. 4, 615-642 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 37D50 37C05 37C40 34K19 37A35 37A50 37F15 × Cite Format Result Cite Review PDF Full Text: DOI
Araújo, Vítor; Pacifico, Maria José Physical measures for infinite-modal maps. (English) Zbl 1173.37015 Fundam. Math. 203, No. 3, 211-262 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 37C40 37D25 37A25 37A35 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giacomin, Giambattista Renewal convergence rates and correlation decay for homogeneous pinning models. (English) Zbl 1190.60086 Electron. J. Probab. 13, 513-529 (2008). MSC: 60K05 60K35 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Polterovich, Leonid; Rudnick, Zeev Stable mixing for cat maps and quasi-morphisms of the modular group. (English) Zbl 1071.37019 Ergodic Theory Dyn. Syst. 24, No. 2, 609-619 (2004). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37C75 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liverani, Carlangelo On contact Anosov flows. (English) Zbl 1067.37031 Ann. Math. (2) 159, No. 3, 1275-1312 (2004). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37D20 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, José F.; Luzzatto, Stefano; Pinheiro, Vilton Lyapunov exponents and rates of mixing for one-dimensional maps. (English) Zbl 1049.37025 Ergodic Theory Dyn. Syst. 24, No. 3, 637-657 (2004). MSC: 37E05 37A25 37D45 37E10 37H15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Alexander, Kenneth S. Mixing properties and exponential decay for lattice systems in finite volumes. (English) Zbl 1048.60080 Ann. Probab. 32, No. 1A, 441-487 (2004). Reviewer: Nasir N. Ganikhodjaev (Kuala Lumpur) MSC: 60K35 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Bálint, Péter; Tóth, Imre Péter Mixing and its rate in ‘soft’ and ‘hard’ billiards motivated by the Lorentz process. (English) Zbl 1054.82010 Physica D 187, No. 1-4, 128-135 (2004). MSC: 82C05 37D50 37N20 × Cite Format Result Cite Review PDF Full Text: DOI
Bach, Volker; Møller, Jacob Schach Correlation at low temperature. I: Exponential decay. (English) Zbl 1031.82003 J. Funct. Anal. 203, No. 1, 93-148 (2003). Reviewer: Ivan Abonyi (Budapest) MSC: 82B05 81Q20 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Rugh, Hans Henrik Coupled maps and analytic function spaces. (English) Zbl 1020.37007 Ann. Sci. Éc. Norm. Supér. (4) 35, No. 4, 489-535 (2002). Reviewer: Jörg Härterich (Berlin) MSC: 37C40 37A25 37A05 37E10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Pène, Françoise Averaging method for differential equations perturbed by dynamical systems. (English) Zbl 1006.37011 ESAIM, Probab. Stat. 6, 33-88 (2002). Reviewer: Nikolai Chernov (Birmingham) MSC: 37A50 37D50 37H10 60G15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Bressaud, Xavier; Liverani, Carlangelo Anosov diffeomorphisms and coupling. (English) Zbl 1067.37030 Ergodic Theory Dyn. Syst. 22, No. 1, 129-152 (2002). MSC: 37D20 37C40 60K35 × Cite Format Result Cite Review PDF Full Text: DOI
Chernov, N. I. Sinai billiards under small external forces. (English) Zbl 0994.70009 Ann. Henri Poincaré 2, No. 2, 197-236 (2001). MSC: 70F35 70H99 37N05 37D50 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Nobuo The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice. (English) Zbl 0992.60089 Ann. Inst. Henri Poincaré, Probab. Stat. 37, No. 2, 223-243 (2001). Reviewer: Ostap Hryniv (Cambridge) MSC: 60K35 82B20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Fischer, Torsten; Rugh, Hans Henrik Transfer operators for coupled analytic maps. (English) Zbl 0984.37025 Ergodic Theory Dyn. Syst. 20, No. 1, 109-143 (2000). MSC: 37C40 37C30 37D40 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsui, Taku Zero energy states and decay of correlations. (English) Zbl 1017.82013 Miracle-Solé, Salvador (ed.) et al., Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27-31, 1998. Singapore: World Scientific. 281-285 (1999). MSC: 82B20 46L60 × Cite Format Result Cite Review PDF
Szolnoki, Attila Non-equilibrium phase transition in a two-temperature lattice gas. (English) Zbl 0932.82026 J. Phys. A, Math. Gen. 30, No. 22, 7791-7799 (1997). MSC: 82C26 82C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baladi, Viviane Correlation spectrum of quenched and annealed equilibrium states for random expanding maps. (English) Zbl 0884.60097 Commun. Math. Phys. 186, No. 3, 671-700 (1997). MSC: 60K40 × Cite Format Result Cite Review PDF Full Text: DOI
Sjöstrand, J. Correlation asymptotics and Witten Laplacians. (English) Zbl 0877.35084 St. Petersbg. Math. J. 8, No. 1, 123-147 (1997); translation from Algebra Anal. 8, No. 1, 160-191 (1996). MSC: 35P05 35Q40 35J10 × Cite Format Result Cite Review PDF
Grelland, Hans H. Tomita representation of the Arnol’d cat map. (English) Zbl 0857.46056 Int. J. Theor. Phys. 35, No. 1, 199-205 (1996). MSC: 46N50 81T05 46L55 37A99 46L51 46L53 46L54 46L60 × Cite Format Result Cite Review PDF Full Text: DOI
Fontes, L. R. G.; Neves, E. Jordão Phase uniqueness and correlation length in diluted-field Ising models. (English) Zbl 1081.82574 J. Stat. Phys. 80, No. 5-6, 1327-1339 (1995). MSC: 82B44 60K35 82B20 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Coveney, Peter V.; Evans, Allan K. Canonical nonequilibrium ensembles and subdynamics. (English) Zbl 0841.58070 J. Stat. Phys. 77, No. 1-2, 229-258 (1994). MSC: 58Z05 82C35 82C05 × Cite Format Result Cite Review PDF Full Text: DOI
Góra, Pawel Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative. (English) Zbl 0822.28008 Ergodic Theory Dyn. Syst. 14, No. 3, 475-492 (1994). Reviewer: G.Keller (Erlangen) MSC: 28D05 37E99 × Cite Format Result Cite Review PDF Full Text: DOI
Fannes, M.; Nachtergaele, B.; Werner, R. F. Finitely correlated states on quantum spin chains. (English) Zbl 0755.46039 Commun. Math. Phys. 144, No. 3, 443-490 (1992). Reviewer: A.Wehrl (Wien) MSC: 46N50 82B10 82B20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dimock, J. A cluster expansion for stochastic lattice fields. (English) Zbl 0714.60103 J. Stat. Phys. 58, No. 5-6, 1181-1207 (1990). MSC: 60K35 82C20 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrushin, R. L.; Shlosman, S. B. Completely analytical Gibbs fields. (English) Zbl 0569.46043 Statistical physics and dynamical systems. Rigorous results, Pap. 2nd Colloq. Workshop, Köszeg/Hung. 1984, Prog. Phys. 10, 371-403 (1985). MSC: 46N99 82B05 × Cite Format Result Cite Review PDF
Posch, H. A.; Balucani, U.; Vallauri, R. On the relative dynamics of pairs of atoms in simple liquids. (English) Zbl 0598.76010 Physica A 123, 516-534 (1984). MSC: 76A05 82B05 × Cite Format Result Cite Review PDF Full Text: DOI