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Large Deviations of Birkhoff’s Sums via the Approximation of Observables. / Podvigin, I. V.

In: Lobachevskii Journal of Mathematics, Vol. 41, No. 4, 01.04.2020, p. 703-708.

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

Harvard

Podvigin, IV 2020, 'Large Deviations of Birkhoff’s Sums via the Approximation of Observables', Lobachevskii Journal of Mathematics, vol. 41, no. 4, pp. 703-708. https://doi.org/10.1134/S1995080220040216

APA

Podvigin, I. V. (2020). Large Deviations of Birkhoff’s Sums via the Approximation of Observables. Lobachevskii Journal of Mathematics, 41(4), 703-708. https://doi.org/10.1134/S1995080220040216

Vancouver

Podvigin IV. Large Deviations of Birkhoff’s Sums via the Approximation of Observables. Lobachevskii Journal of Mathematics. 2020 Apr 1;41(4):703-708. doi: 10.1134/S1995080220040216

Author

Podvigin, I. V. / Large Deviations of Birkhoff’s Sums via the Approximation of Observables. In: Lobachevskii Journal of Mathematics. 2020 ; Vol. 41, No. 4. pp. 703-708.

BibTeX

@article{207026016a3644d2aabd1c877fc4f1bd,
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.",
keywords = "approximation spaces, correlations, H{\"o}lder continuous function, large deviations, RATES, DECAY, BILLIARDS, Holder continuous function, RECURRENCE TIMES",
author = "Podvigin, {I. V.}",
year = "2020",
month = apr,
day = "1",
doi = "10.1134/S1995080220040216",
language = "English",
volume = "41",
pages = "703--708",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Maik Nauka Publishing / Springer SBM",
number = "4",

}

RIS

TY - JOUR

T1 - Large Deviations of Birkhoff’s Sums via the Approximation of Observables

AU - Podvigin, I. V.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - 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.

AB - 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.

KW - approximation spaces

KW - correlations

KW - Hölder continuous function

KW - large deviations

KW - RATES

KW - DECAY

KW - BILLIARDS

KW - Holder continuous function

KW - RECURRENCE TIMES

UR - http://www.scopus.com/inward/record.url?scp=85088644568&partnerID=8YFLogxK

U2 - 10.1134/S1995080220040216

DO - 10.1134/S1995080220040216

M3 - Article

AN - SCOPUS:85088644568

VL - 41

SP - 703

EP - 708

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

ER -

ID: 24833368