A Real-World Markov Chain arising in Recreational Volleyball
Probability
2021-06-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2106.09142,
title = {A Real-World Markov Chain arising in Recreational Volleyball},
author = {David J. Aldous and Madelyn Cruz},
journal= {arXiv preprint arXiv:2106.09142},
year = {2021}
}
Comments
To be published in Involve