Large Deviations of Birkhoff’s Sums via the Approximation of Observables

I. V. Podvigin

doi:10.1134/S1995080220040216

Large Deviations of Birkhoff’s Sums via the Approximation of Observables

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss two approaches for obtaining estimates of the large deviations of Birkhoff’s sums both are based on some approximation of observables. The first deals with two-sided Hölder approximation of continuous functions. The second method uses transference from estimates of the correlations to the large deviations.

Original language	English
Pages (from-to)	703-708
Number of pages	6
Journal	Lobachevskii Journal of Mathematics
Volume	41
Issue number	4
DOIs	https://doi.org/10.1134/S1995080220040216
Publication status	Published - 1 Apr 2020

Keywords

approximation spaces
correlations
Hölder continuous function
large deviations
RATES
DECAY
BILLIARDS
Holder continuous function
RECURRENCE TIMES

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10.1134/S1995080220040216

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title = "Large Deviations of Birkhoff{\textquoteright}s Sums via the Approximation of Observables",

abstract = "We discuss two approaches for obtaining estimates of the large deviations of Birkhoff{\textquoteright}s sums both are based on some approximation of observables. The first deals with two-sided H{\"o}lder approximation of continuous functions. The second method uses transference from estimates of the correlations to the large deviations.",

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KW - large deviations

KW - RATES

KW - DECAY

KW - BILLIARDS

KW - Holder continuous function

KW - RECURRENCE TIMES

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