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arXiv · 2310.00159

P\'olya urns on hypergraphs

Pedro Alves·Matheus Barros·Yuri Lima
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Abstract

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.

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Pedro Alves, Matheus Barros, Yuri Lima. 2023-09-29. P\'olya urns on hypergraphs. https://arxiv.org/abs/2310.00159

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