Pólya urns on hypergraphs
Pedro Gonçalves Alves, Matheus Cesar Vieira Barros, Yuri Lima · Nonlinearity · 2025
Abstract We study Pólya 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.