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Bibliographic Details
Main Author: Mummert, Philip
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.10917
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Table of Contents:
  • Austrian Solitaire is a variation of Bulgarian Solitaire. It may be described as a card game, a method of asset inventory management, or a discrete dynamical system on integer partitions. We prove that the limit cycles in Austrian Solitaire do not depend on the initial configuration; in other words, each state space is connected. We show that a full Farey sequence completely characterizes these unique (and balanced) cycles.