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On strong forms of the Borel–Cantelli lemma and intermittent interval maps. / Frolov, Andrei N.

в: Journal of Mathematical Analysis and Applications, Том 504, № 2, 125425, 15.12.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Frolov, AN 2021, 'On strong forms of the Borel–Cantelli lemma and intermittent interval maps', Journal of Mathematical Analysis and Applications, Том. 504, № 2, 125425. https://doi.org/10.1016/j.jmaa.2021.125425

APA

Frolov, A. N. (2021). On strong forms of the Borel–Cantelli lemma and intermittent interval maps. Journal of Mathematical Analysis and Applications, 504(2), [125425]. https://doi.org/10.1016/j.jmaa.2021.125425

Vancouver

Frolov AN. On strong forms of the Borel–Cantelli lemma and intermittent interval maps. Journal of Mathematical Analysis and Applications. 2021 Дек. 15;504(2). 125425. https://doi.org/10.1016/j.jmaa.2021.125425

Author

Frolov, Andrei N. / On strong forms of the Borel–Cantelli lemma and intermittent interval maps. в: Journal of Mathematical Analysis and Applications. 2021 ; Том 504, № 2.

BibTeX

@article{a118250613294e79b1f1bcd1a9816086,
title = "On strong forms of the Borel–Cantelli lemma and intermittent interval maps",
abstract = "We derive new variants of the quantitative Borel–Cantelli lemma and apply them to analysis of statistical properties for some dynamical systems. We consider intermittent maps of (0,1] which have absolutely continuous invariant probability measures. In particular, we prove that every sequence of intervals with left endpoints uniformly separated from zero is the strong Borel–Cantelli sequence with respect to such map and invariant measure.",
keywords = "Borel–Cantelli lemma, Intermittent interval maps, Non-uniformly hyperbolic dynamical systems, BOUNDS, Borel-Cantelli lemma, UNIONS, PROBABILITIES",
author = "Frolov, {Andrei N.}",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = dec,
day = "15",
doi = "10.1016/j.jmaa.2021.125425",
language = "English",
volume = "504",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - On strong forms of the Borel–Cantelli lemma and intermittent interval maps

AU - Frolov, Andrei N.

N1 - Publisher Copyright: © 2021 Elsevier Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/12/15

Y1 - 2021/12/15

N2 - We derive new variants of the quantitative Borel–Cantelli lemma and apply them to analysis of statistical properties for some dynamical systems. We consider intermittent maps of (0,1] which have absolutely continuous invariant probability measures. In particular, we prove that every sequence of intervals with left endpoints uniformly separated from zero is the strong Borel–Cantelli sequence with respect to such map and invariant measure.

AB - We derive new variants of the quantitative Borel–Cantelli lemma and apply them to analysis of statistical properties for some dynamical systems. We consider intermittent maps of (0,1] which have absolutely continuous invariant probability measures. In particular, we prove that every sequence of intervals with left endpoints uniformly separated from zero is the strong Borel–Cantelli sequence with respect to such map and invariant measure.

KW - Borel–Cantelli lemma

KW - Intermittent interval maps

KW - Non-uniformly hyperbolic dynamical systems

KW - BOUNDS

KW - Borel-Cantelli lemma

KW - UNIONS

KW - PROBABILITIES

UR - http://www.scopus.com/inward/record.url?scp=85107932876&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2021.125425

DO - 10.1016/j.jmaa.2021.125425

M3 - Article

AN - SCOPUS:85107932876

VL - 504

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

M1 - 125425

ER -

ID: 78837739