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P\'olya urns on hypergraphs

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arxiv 2310.00159 v2 pith:ZMMGFHXI submitted 2023-09-29 math.DS math.COmath.PR

Pedro Alves , Matheus Barros , Yuri Lima This is my paper · ORCID
classification math.DSmath.COmath.PR
keywords hypergraphsincidenceinjectivematrixolyaurnswhenalmost
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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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