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arXiv:2310.00159 [math.DS]AbstractReferencesReviewsResources

Pólya urns on hypergraphs

Pedro Alves, Matheus Barros, Yuri Lima

Published 2023-09-29Version 1

We study P\'olya urns on hypergraphs and prove that, when the incidence matrix of the hypergraph is injective, there exists a point $v=v(H)$ such that the random process converges to $v$ almost surely. We also provide a partial result when the incidence matrix is not injective.

Comments: 18 pages, 2 figures
Categories: math.DS, math.CO, math.PR
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