Large Deviations of Birkhoff’s Sums via the Approximation of Observables
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Published:2020-04
Issue:4
Volume:41
Page:703-708
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ISSN:1995-0802
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Container-title:Lobachevskii Journal of Mathematics
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language:en
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Short-container-title:Lobachevskii J Math
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference13 articles.
1. A. G. Kachurovskii and I. V. Podvigin, ‘‘Large deviations of the ergodic averages: from Hölder continuity to continuity almost everywhere,’’ Sib. Adv. Math. 1 (28), 23–38 (2018).
2. I. V. Podvigin, ‘‘Estimates of correlations in dynamical systems: from Hölder continuous functions to general observables,’’ Sib. Adv. Math. 3 (28), 187–206 (2018).
3. A. G. Kachurovskii and I. V. Podvigin, ‘‘Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems,’’ Trans. Moscow Math. Soc., №77, 1–54 (2016).
4. A. G. Kachurovskii and I. V. Podvigin, ‘‘Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity,’’ Dokl. Math. 93, 6–8 (2016).
5. I. Melbourne, ‘‘Large and moderate deviations for slowly mixing dynamical systems,’’ Proc. Am. Math. Soc. 137, 1735–1741 (2009).