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Limit Theorem for the General Number of Cycles in a Random A-Permutation

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Publication:3521331
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DOI10.1137/S0040585X97982827zbMath1145.60008OpenAlexW2069462419MaRDI QIDQ3521331

Arsen L. Yakymiv

Publication date: 21 August 2008

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97982827

zbMATH Keywords

Tauberian theoremregularly varying functionsslowly varying functionsrandom \(A\)-permutationsasymptotic density of the set \(A\)general number of cycles in random \(A\)-permutationlogarithmic density of the set \(A\)


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Permutations, words, matrices (05A05) Combinatorial probability (60C05)


Related Items

Generalized Poisson--Dirichlet Distributions Based on the Dickman Subordinator, Random permutations without macroscopic cycles, The number of cycles in random permutations without long cycles is asymptotically Gaussian, A limit theorem for the logarithm of the order of a random A-permutation, Tauberian Theorem for Generating Functions of Multiple Series, On a Number of Components in a Random $A$-Mapping



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