Quadratic coefficients of Goulden-Rattan character polynomials

DOI10.1007/s00026-022-00611-5OpenAlexW3159352041MaRDI QIDQ2694459

Mikołaj Marciniak

Publication date: 3 April 2023

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

Full work available at URL: https://arxiv.org/abs/2104.13512

zbMATH Keywords

mapsfree cumulantsKerov polynomialscharacters of the symmetric groupsGoulden-Rattan polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Cites Work

• Unnamed Item
• Combinatorial interpretation and positivity of Kerov's character polynomials
• Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
• Limit laws for random matrices and free products
• Representations of symmetric groups and free probability
• Asymptotics of Jack characters
• Asymptotics of characters of symmetric groups, genus expansion and free probability.
• Free Random Variables
• An explicit form for Kerov's character polynomials

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