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May 4, 2026Algebraic CombinatoricsOpen Access

Weingarten calculus for centered random permutation matrices

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Authors

BCBenoît CollinsMNManasa Nagatsu

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Overview

Random trial investigates Weingarten calculus for centered permutations, revealing new algebraic insights.

Key Points

  • The aim is to study the Weingarten calculus for centered random permutation matrices, examining its algebraic properties and implications.
  • Presented Weingarten calculus formulation for the symmetric group S N
  • Derived formulas in centered cases
  • Utilized Kummer's confluent hypergeometric function for algebraic properties
  • Derived new non-trivial estimates for moments of coefficients in centered moments
  • Revealed algebraic properties of Weingarten function
  • Demonstrated asymptotic behavior related to the moments of random permutations

Cite This Study

Collins et al. (2026) studied this question.

synapsesocial.com/papers/69f836aa3ed186a739980e60https://doi.org/10.5802/alco.480
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