Large deviations for countable to one Markov systems

DOI10.1007/s00220-005-1363-0zbMath1078.60091OpenAlexW2002960999MaRDI QIDQ2575382

Michiko Yuri

Publication date: 9 December 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-005-1363-0

zbMATH Keywords

weak Gibbs measuresnonhyperbolic systemsmultifractal large deviation lawsnon-Hölder potentials

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Large deviations (60F10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (7)

Level-2 large deviation principle for countable Markov shifts without Gibbs states ⋮ Hitting and escaping statistics: mixing, targets and holes ⋮ Non-uniform specification and large deviations for weak Gibbs measures ⋮ Large deviation principles for countable Markov shifts ⋮ Large-deviation properties in some non-uniformly hyperbolic systems via Pesin theory ⋮ Weak specification properties and large deviations for non-additive potentials ⋮ Fourier transforms of Gibbs measures for the Gauss map

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