Large deviations for \(\mathbb{Z}^ d\)-actions

DOI10.1007/BF02101485zbMath0841.60086OpenAlexW2320797706MaRDI QIDQ1908822

Benjamin Weiss, Yuri Kifer, Alexander Eizenberg

Publication date: 7 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf02101485

zbMATH Keywords

subshifts of finite typelarge deviations boundstranslation invariant Gibbs measures

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Large deviations (60F10) Statistical mechanics of gases (82D05) Ergodic theory (37A99)

Related Items (33)

Higher-dimensional nonlinear thermodynamic formalism ⋮ Spatio-temporal large deviations principle for coupled circle maps. ⋮ On -approachability, entropy density and -free shifts ⋮ Properties of invariant measures in dynamical systems with the shadowing property ⋮ Multidimensional random subshifts of finite type and their large deviations ⋮ Escape of entropy for countable Markov shifts ⋮ Birkhoff spectrum for Hénon-like maps at the first bifurcation ⋮ Semigroup actions of expanding maps ⋮ Gaussian concentration and uniqueness of equilibrium states in lattice systems ⋮ ON THE ONE-WAY SPECIFICATION PROPERTY AND LARGE DEVIATIONS FOR SYSTEMS WITH NON-DENSE ERGODIC MEASURES ⋮ The growth of periodic orbits with large support ⋮ On multifractal analysis and large deviations of singular hyperbolic attractors ⋮ On concentration inequalities and their applications for Gibbs measures in lattice systems ⋮ On the rate of convergence in the individual ergodic theorem for the action of a semigroup ⋮ On the topological entropy of saturated sets for amenable group actions ⋮ Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity ⋮ Large deviations for systems with non-uniform structure ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. ⋮ Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces ⋮ Distributional chaos in multifractal analysis, recurrence and transitivity ⋮ Entropy-approachability for transitive Markov shifts over infinite alphabet ⋮ Large deviations for correlated random variables described by a matrix product ansatz ⋮ The irregular set for maps with the specification property has full topological pressure ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ On large deviations for amenable group actions ⋮ Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces ⋮ Specification and thermodynamical properties of semigroup actions ⋮ Multifractal analysis of Birkhoff averages for some self-affine IFS ⋮ Large deviation principles for countable Markov shifts ⋮ Large-deviation properties in some non-uniformly hyperbolic systems via Pesin theory ⋮ Verification of mixing properties in two-dimensional shifts of finite type ⋮ Weak specification properties and large deviations for non-additive potentials

Cites Work

• Microcanonical distributions for lattice gases
• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• Large deviations for the empirical field of a Gibbs measure
• On the large deviation principle for stationary weakly dependent random fields
• Gibbs measures and phase transitions
• Large deviations, averaging and periodic orbits of dynamical systems
• Large Deviations in Dynamical Systems and Stochastic Processes
• Asymptotic evaluation of certain markov process expectations for large time. IV
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• Strictly ergodic models for dynamical systems
• On entropy and information gain in random fields
• Large deviations for Gibbs random fields
• Unnamed Item

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