Salvato in:
Dettagli Bibliografici
Autori principali: Mu, Yingxin, Sapozhnikov, Artem
Natura: Preprint
Pubblicazione: 2023
Soggetti:
Accesso online:https://arxiv.org/abs/2304.09186
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Sommario:
  • We prove the uniqueness of the infinite connected component for the vacant set of random interlacements on general vertex-transitive amenable transient graphs. Our approach is based on connectedness of random interlacements and differs from the one used by Teixera arXiv:0805.4106 to prove the uniqueness of the infinite connected component for the vacant set of random interlacements on $\mathbb Z^d$.