Corpus ID: 235458550

A Real-World Markov Chain arising in Recreational Volleyball

@inproceedings{Aldous2021ARM,
  title={A Real-World Markov Chain arising in Recreational Volleyball},
  author={D. Aldous and M. Cruz},
  year={2021}
}
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. 

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