Some rigorous results on the phase transition of finitary random interlacements

DOI10.1214/21-ECP424zbMath1493.60140arXiv2101.08010OpenAlexW3202910651MaRDI QIDQ2064824

Yuan Zhang, Zhenhao Cai

Publication date: 6 January 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08010

zbMATH Keywords

percolationphase transitioncritical valuefinitary interlacements

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

On chemical distance and local uniqueness of a sufficiently supercritical finitary random interlacements ⋮ Percolation for the Gaussian free field on the cable system: counterexamples ⋮ On the exact orders of critical value in finitary random interlacements

Cites Work

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• Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\)
• On the internal distance in the interlacement set
• Vacant set of random interlacements and percolation
• Intersections of random walks
• Phase transition and level-set percolation for the Gaussian free field
• Finitary random interlacements and the Gaboriau-Lyons problem

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