Correlations, large deviations, and rates of convergence in ergodic theorems for characteristic functions

DOI10.1134/S1064562415020283zbMath1333.60041MaRDI QIDQ492735

I. V. Podvigin, A. G. Kachurovskii

Publication date: 21 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence rateslarge deviationsergodic theoremscorrelationsindicator functions

Mathematics Subject Classification ID

Large deviations (60F10) Limit theorems in probability theory (60F99)

Related Items (3)

Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity ⋮ Estimates for Correlation in Dynamical Systems: From Hölder Continuous Functions to General Observables ⋮ Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere

Cites Work

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• Rate of convergence in ergodic theorems for the planar periodic Lorentz gas
• On partitions of unity
• Large deviations and the rate of convergence in the Birkhoff ergodic theorem
• Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems

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