arXiv:1403.5822 Abstract | arXiv Analytics

arXiv:1403.5822 [math.PR]Abstract References Reviews Resources

A generalization of carries process and riffle shuffles

Published 2014-03-24, updated 2014-12-11Version 3

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.

Comments: Relation to the riffle shuffle for negative base case is added

Categories: math.PR

Keywords: generalization, transition probability matrix, generalized carries process, right eigenvectors, generalized riffle shuffle

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