A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli space: entropy, pressure and large deviations

DOI10.1007/s10955-013-0796-7zbMath1301.82005arXiv1307.0237OpenAlexW2121049537MaRDI QIDQ385553

Adriana Neumann, Philippe Thieullen, Artur Oscar Lopes

Publication date: 2 December 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0237

zbMATH Keywords

entropypressurelarge deviationsRuelle operatorGibbs statecontinuous time Markov chaincontinuous time Perron-Frobenius theorem

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Continuous-time Markov processes on discrete state spaces (60J27) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (3)

Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature ⋮ Selection of measure and a large deviation principle for the general one-dimensionalXYmodel ⋮ Large deviations for stationary probabilities of a family of continuous time Markov chains via Aubry-Mather theory

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