A. L. Yakymiv, “Asymptotics with remainder term for moments of the total cycle number of random $A$-permutation”, Diskr. Mat., 31:3 (2019), 114–127; Discrete Math. Appl., 31:1 (2021), 51

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Diskretnaya Matematika, 2019, Volume 31, Issue 3, Pages 114–127
DOI: https://doi.org/10.4213/dm1582 (Mi dm1582)

This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics with remainder term for moments of the total cycle number of random

$A$ -permutation

A. L. Yakymiv

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Full-text PDF (481 kB) Citations (4)

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DOI: https://doi.org/10.4213/dm1582

Abstract: We consider the set of

$n$ -permutations with cycle lengths belonging to some fixed set

$A$ of natural numbers (so-called

$A$ -permutations). Let random permutation

$\tau_n$ be uniformly distributed on this set. For some class of sets

$A$ we find the asymptotics with remainder term for moments of total cycle number of

$\tau_n$ .

Keywords: random

$A$ -permutations, the total number of cycles, the number of cycles of fixed length.

Received: 08.06.2019

English version:
Discrete Mathematics and Applications, 2021, Volume 31, Issue 1, Pages 51–60
DOI: https://doi.org/10.1515/dma-2021-0005

Bibliographic databases:

Document Type: Article

UDC: 519.212.2

Language: Russian

Citation: A. L. Yakymiv, “Asymptotics with remainder term for moments of the total cycle number of random

$A$ -permutation”, Diskr. Mat., 31:3 (2019), 114–127; Discrete Math. Appl., 31:1 (2021), 51–60

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/dm1582

https://doi.org/10.4213/dm1582

https://www.mathnet.ru/eng/dm/v31/i3/p114

This publication is cited in the following 4 articles:

G. I. Ivchenko, Yu. I. Medvedev, “Sluchainye $A$ -podstanovki v parametricheskoi modeli”, Matem. vopr. kriptogr., 15:1 (2024), 35–55
A. L. Yakymiv, “Moment Characteristics of a Random Mapping with Restrictions on Component Sizes”, Proc. Steklov Inst. Math., 316 (2022), 356–369
A. L. Yakymiv, “Random mappings with constraints on the cycle lengths”, J. Math. Sci. (N.Y.), 267:2 (2022), 228–233
A. L. Yakymiv, “Variance of the number of cycles of random $A$ -permutation”, Discrete Math. Appl., 32:1 (2022), 59–68

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	438
Full-text PDF :	86
References:	53
First page:	19

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