Vanishing of the anchored isoperimetric profile in bond percolation at p c

Autor:	Cerf, Raphaël, Dembin, Barbara
Rok vydání:	2019
Předmět:	Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	We consider the anchored isoperimetric profile of the infinite open cluster, defined for $p > p\_c$, whose existence has been recently proved in [3]. We extend adequately the definition for $p = p\_c$, in finite boxes. We prove a partial result which implies that, if the limit defining the anchored isoperimetric profile at $p\_c$ exists, it has to vanish.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.08065 Zobrazit plný text záznamu View this record from Arxiv