Riffle shuffles with biased cuts

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Publication:5377398

zbMATH Open1412.05195arXiv1112.2650MaRDI QIDQ5377398

Author name not available (Why is that?)

Publication date: 24 May 2019

Abstract: The well-known Gilbert-Shannon-Reeds model for riffle shuffles assumes that the cards are initially cut 'about in half' and then riffled together. We analyze a natural variant where the initial cut is biased. Extending results of Fulman (1998), we show a sharp cutoff in separation and L-infinity distances. This analysis is possible due to the close connection between shuffling and quasisymmetric functions along with some complex analysis of a generating function.


Full work available at URL: https://arxiv.org/abs/1112.2650



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