Determinantal Formula for Generalized Riffle Shuffle
Probability
2021-03-23 v1 Combinatorics
Abstract
We consider a generalized riffle shuffle on the colored permutation group 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.
Keywords
Cite
@article{arxiv.2103.11605,
title = {Determinantal Formula for Generalized Riffle Shuffle},
author = {Fumihiko Nakano and Taizo Sadahiro},
journal= {arXiv preprint arXiv:2103.11605},
year = {2021}
}