A generalization of carries process and riffle shuffles

Fumihiko Nakano; Taizo Sadahiro

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arXiv · 1403.5822

A generalization of carries process and riffle shuffles

Fumihiko Nakano·Taizo Sadahiro

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Abstract

As a continuation to our previous work, we consider a generalization of carries process. Our results are : (i) right eigenvectors of the transition probability matrix, (ii) correlation of carries between different steps, and (iii) generalized riffle shuffle having the same distribution as that of the generalized carries process.

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Fumihiko Nakano, Taizo Sadahiro. 2014-03-24. A generalization of carries process and riffle shuffles. https://arxiv.org/abs/1403.5822

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