Limit theorems for suspension flows over Vershik automorphisms

DOI10.1070/RM2013v068n05ABEH004858zbMath1396.37015OpenAlexW2051727524MaRDI QIDQ5396394

Alexander I. Bufetov

Publication date: 5 February 2014

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2013v068n05abeh004858

zbMATH Keywords

renormalizationlimit theoremsTeichmüller flowKontsevich-Zorich cocyclefinitely additive invariant measuresForni invariant distributionsrate of convergence in the ergodic theoremVershik automorphisms

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Markov processes (60J99)

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