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Foatic Homomesy

Mao, Peter
arXiv (All) · Papers
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05a05combinatorics
Using a unified method of identifying a telescoping function for each statistic-action pair, we prove conjectures of La Croix and Roby, and of Sheridan-Rossi that various permutation statistics, such as the number of fixed points, are homomesic under Foatic actions: compositions of the Foata bijecti
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