Top to random shuffles on colored permutations

DOI10.1016/j.dam.2023.06.037arXiv2207.08071MaRDI QIDQ6064865

Taizo Sadahiro, Tetsuya Sakurai, Fumihiko Nakano

Publication date: 11 December 2023

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08071

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Algebraic combinatorics (05Exx) Combinatorial probability (60Cxx)

Cites Work

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• Generalizations of an expansion formula for top to random shuffles
• Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin types A, B and D
• Cyclic derangements
• A generalization of carries process and riffle shuffles
• Orthogonal idempotents in the descent algebra of \(B_ n\) and applications
• The boson normal ordering problem and generalized Bell numbers
• Determinantal formula for generalized riffle shuffle
• Shuffling Cards and Stopping Times
• Analysis of Top To Random Shuffles

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