A limit theorem for additive functions defined on the symmetric group

DOI10.1007/s10986-011-9121-9zbMath1227.60013OpenAlexW2081426465MaRDI QIDQ647157

Eugenijus Manstavicius

Publication date: 1 December 2011

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-011-9121-9

zbMATH Keywords

random permutationcycle structuremultiplicative functionslowly varying functionadditive function

Mathematics Subject Classification ID

Combinatorial probability (60C05) Asymptotic enumeration (05A16) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60) Probabilistic methods in group theory (20P05)

Related Items (3)

The characteristic polynomial of a random permutation matrix at different points ⋮ On the Order of Random Permutation with Cycle Weights ⋮ Sharp bounds for the variance of linear statistics on random permutations

Cites Work

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• Asymptotic value distribution of additive functions defined on the symmetric group
• The law of the iterated logarithm for random permutations
• Additive and multiplicative functions on random permutations
• Logarithmic combinatorial structures: A probabilistic approach
• Limit processes with independent increments for the Ewens sampling formula
• Distribution of the logarithm of the order of a random permutation
• Limit Theorems for Combinatorial Structures via Discrete Process Approximations
• The law of large numbers for additive arithmetic functions
• Mappings on Decomposable Combinatorial Structures: Analytic Approach

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