Large deviations, fluctuations and shrinking intervals

DOI10.1007/s00220-008-0725-9zbMath1193.37038OpenAlexW1985312346MaRDI QIDQ1048040

Richard Sharp, Mark Pollicott

Publication date: 11 January 2010

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

Full work available at URL: https://doi.org/10.1007/s00220-008-0725-9

zbMATH Keywords

fluctuation theoremhyperbolic diffeomorphismtime reversed symmetry

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Ergodic theory (37Axx)

Related Items (12)

Ruelle transfer operators with two complex parameters and applications ⋮ Rates of convergence in ergodic theorems for certain billiards and Anosov diffeomorphisms ⋮ Distribution of periods of closed trajectories in exponentially shrinking intervals ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere ⋮ Sharp large deviations for some hyperbolic flows ⋮ Sharp large deviations for hyperbolic flows ⋮ A uniform estimate for rate functions in large deviations ⋮ Sharp large deviations for some hyperbolic systems ⋮ Large deviation principles of one-dimensional maps for Hölder continuous potentials ⋮ On the exponential rate of convergence in the Birkhoff ergodic theorem ⋮ The involution kernel and the dual potential for functions in the Walters' family

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