Asymptotic normality of pattern counts in conjugacy classes

DOI10.1214/24-ejp1113arXiv2312.08756MaRDI QIDQ6126958

Mohamed Slim Kammoun, Valentin Féray

Publication date: 10 April 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.08756

zbMATH Keywords

permutationscumulantsasymptotic normalitypatternsdependency graphs

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial probability (60C05)

Cites Work

• Unnamed Item
• A probabilistic approach to the asymptotics of the length of the longest alternating subsequence
• Combinatorics of the three-parameter PASEP partition function
• The distribution of descents in fixed conjugacy classes of the symmetric groups
• Generalized permutation patterns and a classification of the Mahonian statistics
• Weighted dependency graphs
• Central limit theorem for descents in conjugacy classes of \(S_n\)
• Universality for random permutations and some other groups
• Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\)
• Central limit theorems for patterns in multiset permutations and set partitions
• On the asymptotic statistics of the number of occurrences of multiple permutation patterns
• Patterns in random permutations

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