Construction of the beta distributions using the random permutation divisors

A subset of cycles comprising a permutation σ in the symmetric group Sn, n ∈ N, is called a divisor of σ. Then the partial sums over divisors with sizes up to un, 0 ≤ u ≤ 1, of values of a nonnegative multiplicative function on a random permutation define a stochastic process with nondecreasing tra...

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Bibliographic Details
Main Authors: Gintautas Bareikis, Eugenijus Manstavičius
Format: Article
Language:English
Published: Vilnius University Press 2024-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/34009
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