Countable state shifts and uniqueness of g -measures

DOI10.1353/AJM.2007.0044zbMath1128.37002arXivmath/0509109OpenAlexW3101850421WikidataQ105584373 ScholiaQ105584373MaRDI QIDQ5435616

Anders Öberg, Mark Pollicott, Anders Johansson

Publication date: 14 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0509109

zbMATH Keywords

invariant measureabsolute continuitysquare summability

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Topological dynamics (37B99) Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (8)

On \(g\)-functions for countable state subshifts ⋮ Mixing rates for potentials of non-summable variations ⋮ Dynamic uniqueness for stochastic chains with unbounded memory ⋮ Square summability of variations and convergence of the transfer operator ⋮ Equilibrium states and invariant measures for random dynamical systems ⋮ Random Markov processes for countable and uncountable alphabets ⋮ Unique Bernoulli \(g\)-measures ⋮ Phase transitions in long-range Ising models and an optimal condition for factors of -measures

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