Fixed Point Homing Shuffles

We study a family of maps from $S_n \to S_n$ we call fixed point homing shuffles. These maps generalize a few known problems such as Conway's Topswops, and a card shuffling process studied by Gweneth McKinley. We show that the iterates of these homing shuffles always converge, and characterize...

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Bibliographic Details
Published in:Discrete mathematics and theoretical computer science Vol. 27:1, Permutation...; no. Special issues
Main Author: Parlett, Jonathan
Format: Journal Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 18.08.2025
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ISSN:1365-8050, 1365-8050
Online Access:Get full text
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