Two-dimensional random interlacements: 0-1 law and the vacant set at criticality

Orphée Collin and Serguei Popov

Stochastic Processes and their Applications, 2024, vol. 169, issue C

Abstract: We correct and streamline the proof of the fact that, at the critical point α=1, the vacant set of the two-dimensional random interlacements is infinite (Comets and Popov, 2017). Also, we prove a zero–one law for a natural class of tail events related to the random interlacements.

Keywords: Random interlacements; Vacant set; Coupling; Tail events (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2023.104272

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