A generalization of carries processes and Eulerian numbers

DOI10.1016/j.aam.2013.09.005zbMath1285.60007arXiv1306.2790OpenAlexW2003891281WikidataQ61782985 ScholiaQ61782985MaRDI QIDQ395247

Fumihiko Nakano, Taizo Sadahiro

Publication date: 29 January 2014

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

Full work available at URL: https://arxiv.org/abs/1306.2790

zbMATH Keywords

Markov chainEulerian numbercarries

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Algebraic combinatorics (05E99)

Related Items (6)

Proof of a conjecture on the total positivity of amazing matrices ⋮ Combinatorics of balanced carries ⋮ A generalization of carries process and riffle shuffles ⋮ Determinantal formula for generalized riffle shuffle ⋮ Analysis of carries in signed digit expansions ⋮ An asymptotic distribution theory for Eulerian recurrences with applications

Uses Software

• OEIS

Cites Work

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• Noncommutative symmetric functions and an amazing matrix
• Carries, shuffling, and symmetric functions
• On the descent numbers and major indices for the hyperoctahedral group
• Carries, Shuffling, and an Amazing Matrix
• Carries, Combinatorics, and an Amazing Matrix

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