B. M. Gurevich, S. V. Savchenko, “Thermodynamic formalism for countable symbolic Markov chains”, Russian Math. Surveys, 53:2 (1998), 245

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Russian Mathematical Surveys, 1998, Volume 53, Issue 2, Pages 245–344
DOI: https://doi.org/10.1070/rm1998v053n02ABEH000017 (Mi rm17)

This article is cited in 64 scientific papers (total in 64 papers)

Thermodynamic formalism for countable symbolic Markov chains

B. M. Gurevich^a, S. V. Savchenko^b

^a M. V. Lomonosov Moscow State University
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

English version PDF (775 kB) Citations (64) Russian version article

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DOI: https://doi.org/10.1070/rm1998v053n02ABEH000017

Received: 18.12.1997

Bibliographic databases:

Document Type: Article

UDC: 519.217

MSC: 37D35, 60J27, 37B10, 37C30

Language: English

Original paper language: Russian

Citation: B. M. Gurevich, S. V. Savchenko, “Thermodynamic formalism for countable symbolic Markov chains”, Russian Math. Surveys, 53:2 (1998), 245–344

Citation in format AMSBIB

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\paper Thermodynamic formalism for countable symbolic Markov chains

\jour Russian Math. Surveys

\yr 1998

\vol 53

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\pages 245--344

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Linking options:

https://www.mathnet.ru/eng/rm17

https://doi.org/10.1070/rm1998v053n02ABEH000017

https://www.mathnet.ru/eng/rm/v53/i2/p3

This publication is cited in the following 64 articles:

Rémi Coulon, Rhiannon Dougall, Barbara Schapira, Samuel Tapie, “Twisted Patterson-Sullivan Measures and Applications to Amenability and Coverings”, Memoirs of the AMS, 305:1539 (2025)
Elmer R. Beltrán, Rodrigo Bissacot, Luísa Borsato, Raimundo Briceño, “THERMODYNAMIC FORMALISM FOR AMENABLE GROUPS AND COUNTABLE STATE SPACES”, J. Inst. Math. Jussieu, 2024, 1
Haruyoshi Tanaka, “Quasi-compactness of transfer operators for topological Markov shifts with holes”, DCDS, 2024
L. Cioletti, A. van Enter, R. Ruviaro, “The double transpose of the Ruelle operator”, Monatsh Math, 200:3 (2023), 523
Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science Series, Ergodic Theory, 2023, 369
Hiroki Takahasi, “Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States”, J Stat Phys, 190:7 (2023)
René Rühr, Omri Sarig, “Effective intrinsic ergodicity for countable state Markov shifts”, Isr. J. Math., 251:2 (2022), 679
B. M. Gurevich, “Some Old and New Problems in Thermodynamic Formalism of Infinite State Markov Chains”, Lobachevskii J Math, 43:7 (2022), 1633
Harrison Bray, Richard Canary, Lien-Yung Kao, Giuseppe Martone, “Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2022:791 (2022), 1
Schapira B., Tapie S., “Regularity of Entropy, Geodesic Currents and Entropy At Infinity”, Ann. Sci. Ec. Norm. Super., 54:1 (2021), 1–68
Ruhr R., “Pressure Inequalities For Gibbs Measures of Countable Markov Shifts”, Dynam. Syst., 36:2 (2021), 332–339
B. M. Gurevich, “Conditions for the existence of a regular sequence of finite subgraphs of an infinite loaded linear graph”, Trans. Moscow Math. Soc., 82 (2021), 125–131
Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science, 2021, 1
B. Gurevich, Contemporary Mathematics, 772, Topology, Geometry, and Dynamics, 2021, 155
Buzzi J., “the Degree of Bowen Factors and Injective Codings of Diffeomorphisms”, J. Mod. Dyn., 16 (2020), 1–36
Iommi G., Lacalle C., Yayama Yu., “Hidden Gibbs Measures on Shift Spaces Over Countable Alphabets”, Stoch. Dyn., 20:4 (2020), 2050028
Ferreira H.H., Lopes A.O., Oliveira E.R., “Explicit Examples in Ergodic Optimization”, Sao Paulo J. Math. Sci., 14:2 (2020), 443–480
Takahasi H., “Uniqueness of Minimizer For Countable Markov Shifts and Equidistribution of Periodic Points”, J. Stat. Phys., 181:6 (2020), 2415–2431
Thomsen K., “Kms States, Conformal Measures and Ends in Digraphs”, Adv. Oper. Theory, 5:2 (2020), 489–607
Iommi G., Todd M., Velozo A., “Upper Semi-Continuity of Entropy in Non-Compact Settings”, Math. Res. Lett., 27:4 (2020), 1055–1077

Citing articles in Google Scholar: Russian citations, English citations
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Abstract page:	2471
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References:	113
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