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Scaling Entropy of Unstable Systems. / Вепрев, Георгий Анатольевич.

In: Journal of Mathematical Sciences, Vol. 255, No. 2, 05.2021, p. 109-118.

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

Harvard

Вепрев, ГА 2021, 'Scaling Entropy of Unstable Systems', Journal of Mathematical Sciences, vol. 255, no. 2, pp. 109-118. https://doi.org/10.1007/s10958-021-05353-y

APA

Вепрев, Г. А. (2021). Scaling Entropy of Unstable Systems. Journal of Mathematical Sciences, 255(2), 109-118. https://doi.org/10.1007/s10958-021-05353-y

Vancouver

Вепрев ГА. Scaling Entropy of Unstable Systems. Journal of Mathematical Sciences. 2021 May;255(2):109-118. https://doi.org/10.1007/s10958-021-05353-y

Author

Вепрев, Георгий Анатольевич. / Scaling Entropy of Unstable Systems. In: Journal of Mathematical Sciences. 2021 ; Vol. 255, No. 2. pp. 109-118.

BibTeX

@article{bbb2ef749c57410a8013d5148144f50f,
title = "Scaling Entropy of Unstable Systems",
abstract = "In this paper, we study the slow entropy-type invariant of a dynamic system proposed by A. M. Vershik. We provide an explicit construction of a system that has an empty class of scaling entropy sequences. For this unstable case, we introduce an upgraded notion of the invariant, generalize the subadditivity results, and provide an exhaustive series of examples.",
author = "Вепрев, {Георгий Анатольевич}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = may,
doi = "10.1007/s10958-021-05353-y",
language = "English",
volume = "255",
pages = "109--118",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Scaling Entropy of Unstable Systems

AU - Вепрев, Георгий Анатольевич

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2021/5

Y1 - 2021/5

N2 - In this paper, we study the slow entropy-type invariant of a dynamic system proposed by A. M. Vershik. We provide an explicit construction of a system that has an empty class of scaling entropy sequences. For this unstable case, we introduce an upgraded notion of the invariant, generalize the subadditivity results, and provide an exhaustive series of examples.

AB - In this paper, we study the slow entropy-type invariant of a dynamic system proposed by A. M. Vershik. We provide an explicit construction of a system that has an empty class of scaling entropy sequences. For this unstable case, we introduce an upgraded notion of the invariant, generalize the subadditivity results, and provide an exhaustive series of examples.

UR - http://www.scopus.com/inward/record.url?scp=85104433812&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/eda3b5dc-766c-34d1-8b36-9ff0521b4c2b/

U2 - 10.1007/s10958-021-05353-y

DO - 10.1007/s10958-021-05353-y

M3 - Article

VL - 255

SP - 109

EP - 118

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 85104047