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arXiv · 2103.11605

Determinantal Formula for Generalized Riffle Shuffle

Fumihiko Nakano·Taizo Sadahiro
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Abstract

We consider a generalized riffle shuffle on the colored permutation group $G_{p, n}$ and derive a determinantal formula for the probability of finding descents at given positions, proof of which is based on the bijection between the set of shuffles in question and that of non-intersecting lattice paths.

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Fumihiko Nakano, Taizo Sadahiro. 2021-03-22. Determinantal Formula for Generalized Riffle Shuffle. https://arxiv.org/abs/2103.11605

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