Some old and new problems in thermodynamic formalism of infinite state Markov chains

DOI10.1134/S1995080222100134zbMath1501.60039OpenAlexW4312841540MaRDI QIDQ2095857

B. M. Gurevich

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222100134

zbMATH Keywords

potentialweight functionvariational principlethermodynamic formalismMarkov chaindirected graphequilibrium measuretopological pressureMarkov shiftloaded graph

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ergodic theorems, spectral theory, Markov operators (37A30) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

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