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

DOI10.1016/j.spa.2023.104272arXiv2209.07938OpenAlexW4389670778MaRDI QIDQ6190445

Orphée Collin, Serguei Popov

Publication date: 6 February 2024

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07938

zbMATH Keywords

couplingrandom interlacementsvacant settail events

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

• Two-dimensional random interlacements and late points for random walks
• Geometry of the random interlacement
• The subleading order of two dimensional cover times
• The vacant set of two-dimensional critical random interlacement is infinite
• Two-dimensional Brownian random interlacements
• Soft local times and decoupling of random interlacements
• Vacant set of random interlacements and percolation
• Interlacement percolation on transient weighted graphs
• On uniform closeness of local times of Markov chains and i.i.d. sequences
• On pinned fields, interlacements, and random walk on \(({\mathbb {Z}}/N {\mathbb {Z}})^2\)
• Second-order term of cover time for planar simple random walk
• Two-Dimensional Random Walk

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