现实世界中的马尔可夫链在排球中的应用
A Real-World Markov Chain arising in Recreational Volleyball
摘要：
洗牌模型为马尔可夫链的混合时间的数学理论提供了简单的激励例子。作为补充，我们引入了一个更复杂的现实模型的某种可观察的现实世界的计划混合人类球员到团队。我们在数值上量化了这种混合方案在实践中执行的7或8个步骤的有效性。我们给出了一个组合证明的非平凡的事实，链确实是不可约的。
英文摘要：
Card shuffling models have provided simple motivating examples for the mathematical theory of mixing times for Markov chains. As a complement, we introduce a more intricate realistic model of a certain observable real-world scheme for mixing human players onto teams. We quantify numerically the effectiveness of this mixing scheme over the 7 or 8 steps performed in practice. We give a combinatorial proof of the non-trivial fact that the chain is indeed irreducible.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
