On the dimension of the space of harmonic functions on transitive shift spaces

DOI10.1016/j.aim.2021.107758zbMath1470.37038arXiv2009.07209OpenAlexW3154474037MaRDI QIDQ2032931

L. Melo, E. A. Silva, Leandro M. Cioletti, Ricardo Ruviaro

Publication date: 14 June 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07209

zbMATH Keywords

Markov processesphase transitionthermodynamic formalisminvariance principleharmonic functionsconformal measures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical aspects of statistical mechanics (37A60)

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