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Asymptotic behavior of the scaling entropy of the Pascal adic transformation. / Lodkin, A. A.; Manaev, I. E.; Minabutdinov, A. R.

In: Journal of Mathematical Sciences, Vol. 174, No. 1, 2011, p. 28-35.

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

Harvard

Lodkin, AA, Manaev, IE & Minabutdinov, AR 2011, 'Asymptotic behavior of the scaling entropy of the Pascal adic transformation', Journal of Mathematical Sciences, vol. 174, no. 1, pp. 28-35. https://doi.org/10.1007/s10958-011-0278-x

APA

Lodkin, A. A., Manaev, I. E., & Minabutdinov, A. R. (2011). Asymptotic behavior of the scaling entropy of the Pascal adic transformation. Journal of Mathematical Sciences, 174(1), 28-35. https://doi.org/10.1007/s10958-011-0278-x

Vancouver

Lodkin AA, Manaev IE, Minabutdinov AR. Asymptotic behavior of the scaling entropy of the Pascal adic transformation. Journal of Mathematical Sciences. 2011;174(1):28-35. https://doi.org/10.1007/s10958-011-0278-x

Author

Lodkin, A. A. ; Manaev, I. E. ; Minabutdinov, A. R. / Asymptotic behavior of the scaling entropy of the Pascal adic transformation. In: Journal of Mathematical Sciences. 2011 ; Vol. 174, No. 1. pp. 28-35.

BibTeX

@article{574852606290404cb211c10bd8cd0339,
title = "Asymptotic behavior of the scaling entropy of the Pascal adic transformation",
abstract = "In this paper, we give an estimate on the growth of the scaling sequence of the Pascal adic transformation with respect to the sup-metric. We construct a special class of α-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibliography: 14 titles.",
keywords = "adic transformation, Pascal automorphism, scaling sequence",
author = "Lodkin, {A. A.} and Manaev, {I. E.} and Minabutdinov, {A. R.}",
year = "2011",
doi = "10.1007/s10958-011-0278-x",
language = "English",
volume = "174",
pages = "28--35",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of the scaling entropy of the Pascal adic transformation

AU - Lodkin, A. A.

AU - Manaev, I. E.

AU - Minabutdinov, A. R.

PY - 2011

Y1 - 2011

N2 - In this paper, we give an estimate on the growth of the scaling sequence of the Pascal adic transformation with respect to the sup-metric. We construct a special class of α-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibliography: 14 titles.

AB - In this paper, we give an estimate on the growth of the scaling sequence of the Pascal adic transformation with respect to the sup-metric. We construct a special class of α-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibliography: 14 titles.

KW - adic transformation

KW - Pascal automorphism

KW - scaling sequence

U2 - 10.1007/s10958-011-0278-x

DO - 10.1007/s10958-011-0278-x

M3 - Article

VL - 174

SP - 28

EP - 35

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 5295083