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Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group. / Vershik, A. M.; Malyutin, A. V.

In: Journal of Mathematical Sciences (United States), Vol. 240, No. 5, 07.08.2019, p. 525-534.

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

Harvard

Vershik, AM & Malyutin, AV 2019, 'Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group', Journal of Mathematical Sciences (United States), vol. 240, no. 5, pp. 525-534. https://doi.org/10.1007/s10958-019-04370-2

APA

Vershik, A. M., & Malyutin, A. V. (2019). Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group. Journal of Mathematical Sciences (United States), 240(5), 525-534. https://doi.org/10.1007/s10958-019-04370-2

Vancouver

Vershik AM, Malyutin AV. Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group. Journal of Mathematical Sciences (United States). 2019 Aug 7;240(5):525-534. https://doi.org/10.1007/s10958-019-04370-2

Author

Vershik, A. M. ; Malyutin, A. V. / Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 240, No. 5. pp. 525-534.

BibTeX

@article{666ad4c071d04c619278f7567d53b41b,
title = "Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group",
abstract = "The study of the degenerate part of the absolute of the discrete Heisenberg group required solving a problem on the number of geodesics in this group and in its semigroup. Analytically, this problem reduces to the study of the asymptotic behavior of Gaussian q-binomial coefficients, and the required property is the almost multiplicativity of group characters. The problem has a natural formulation in terms of an (apparently, new) asymptotic property of Young diagrams.",
author = "Vershik, {A. M.} and Malyutin, {A. V.}",
year = "2019",
month = aug,
day = "7",
doi = "10.1007/s10958-019-04370-2",
language = "русский",
volume = "240",
pages = "525--534",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group

AU - Vershik, A. M.

AU - Malyutin, A. V.

PY - 2019/8/7

Y1 - 2019/8/7

N2 - The study of the degenerate part of the absolute of the discrete Heisenberg group required solving a problem on the number of geodesics in this group and in its semigroup. Analytically, this problem reduces to the study of the asymptotic behavior of Gaussian q-binomial coefficients, and the required property is the almost multiplicativity of group characters. The problem has a natural formulation in terms of an (apparently, new) asymptotic property of Young diagrams.

AB - The study of the degenerate part of the absolute of the discrete Heisenberg group required solving a problem on the number of geodesics in this group and in its semigroup. Analytically, this problem reduces to the study of the asymptotic behavior of Gaussian q-binomial coefficients, and the required property is the almost multiplicativity of group characters. The problem has a natural formulation in terms of an (apparently, new) asymptotic property of Young diagrams.

UR - http://www.scopus.com/inward/record.url?scp=85068211385&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04370-2

DO - 10.1007/s10958-019-04370-2

M3 - статья

AN - SCOPUS:85068211385

VL - 240

SP - 525

EP - 534

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 47488030