Large deviations of Birkhoff's sums via the approximation of observables

DOI10.1134/S1995080220040216zbMath1453.37010MaRDI QIDQ2206671

I. V. Podvigin

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

large deviationsapproximation spacescorrelationsHölder continuous function

Mathematics Subject Classification ID

Large deviations (60F10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

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• From rates of mixing to recurrence times via large deviations
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• Large and moderate deviations for slowly mixing dynamical systems
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• Estimates for Correlation in Dynamical Systems: From Hölder Continuous Functions to General Observables
• Billiards with polynomial mixing rates
• Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere

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