Percolation for the Finitary Random interlacements

Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove a phase transition in the connectivity of finitary random interlacements FIu;T in Zd, with respect to the average stopping time T. For each u > 0, with probability one FIu;T has no infinite connected component for all sufficiently small T > 0, and a unique infinite connected component for all sufficiently large T < 1. This answers a question of Bowen (2019) in the special case of Zd.

Original languageEnglish
Pages (from-to)265-287
Number of pages23
JournalAlea
Volume18
Issue number1
DOIs
StatePublished - 1 Jan 2020

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