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arxiv: 1403.5822 · v3 · pith:PHD4SOEZnew · submitted 2014-03-24 · 🧮 math.PR · math.CO

A generalization of carries process and riffle shuffles

classification 🧮 math.PR math.CO
keywords carriesprocessgeneralizationgeneralizedriffleconsidercontinuationcorrelation
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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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