arXiv Open Access 2021

A Real-World Markov Chain arising in Recreational Volleyball

David J. Aldous Madelyn Cruz

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Abstrak

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.

Topik & Kata Kunci

math.PR

Penulis (2)

David J. Aldous

Madelyn Cruz

Format Sitasi

APA MLA BibTeX

Aldous, D.J., Cruz, M. (2021). A Real-World Markov Chain arising in Recreational Volleyball. https://arxiv.org/abs/2106.09142

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓