The limiting distribution of the \(q\)-derangement numbers

DOI10.1016/j.ejc.2010.05.009zbMath1227.05070OpenAlexW1996545957MaRDI QIDQ710722

David G. L. Wang, William Y. C. Chen

Publication date: 22 October 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.05.009

zbMATH Keywords

normality of the limiting distribution

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Asymptotic enumeration (05A16)

Related Items (6)

The log-concavity of the \(q\)-derangement numbers of type \(B\) ⋮ A central limit theorem for descents and major indices in fixed conjugacy classes of \(S_n\) ⋮ Asymptotic normality in t-stack sortable permutations ⋮ On colored set partitions of type \(B_n\) ⋮ Modifying Curtiss' theorem to prove central limit theorems ⋮ The asymptotic normality of adjacency coefficients of bipartite graphs and skew-adjacency coefficients of oriented graphs

Cites Work

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• Signed words and permutations. IV: Fixed and pixed points
• The distribution of descents in fixed conjugacy classes of the symmetric groups
• Some asymptotic formulae for \(q\)-shifted factorials
• Counting permutations with given cycle structure and descent set
• Semigroups, rings, and Markov chains
• Sharp bounds for the Bernoulli numbers
• On the descent numbers and major indices for the hyperoctahedral group
• On derangement polynomials of type \(B\)
• Combinatorics of Coxeter Groups
• Labeled Partitions and the q-Derangement Numbers
• On q-Derangement Numbers
• Stirling Behavior is Asymptotically Normal
• Asymptotic properties of eulerian numbers
• A Note on the Theory of Moment Generating Functions
• The flag major index and group actions on polynomial rings.
• Descent numbers and major indices for the hyperoctahedral group

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