ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES

DOI10.1142/S0219493710002863zbMath1190.37027arXiv0904.4630MaRDI QIDQ5187840

Manuel Stadlbauer

Publication date: 9 March 2010

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4630

zbMATH Keywords

Ruelle-Perron-Frobenius theoremrandom bundle transformationbig images and preimagesfinite primitivityMarkov chains with random transitionsrandom countable Markov shift

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Random dynamical systems (37H99)

Related Items (8)

Countable alphabet random subhifts of finite type with weakly positive transfer operator ⋮ Coupling methods for random topological Markov chains ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ CORRIGENDUM AND ADDENDUM: "On random topological Markov chains with big images and preimages" ⋮ Random dynamics of transcendental functions ⋮ Thermodynamic formalism for random non-uniformly expanding maps ⋮ Thermodynamic formalism for random weighted covering systems ⋮ On the Lyapunov spectrum of relative transfer operators

Cites Work

• Transformations on [0,1 with infinite invariant measures]
• Un théorème ergodique presque sous-additif. (An almost subadditive ergodic theorem)
• Markov chains with stochastically stationary transition probabilities
• THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
• Existence of Gibbs measures for countable Markov shifts
• Thermodynamic formalism for countable Markov shifts
• Pseudo-Markov systems and infinitely generated Schottky groups
• Gibbs states on the symbolic space over an infinite alphabet

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