Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
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Publication:6190445
DOI10.1016/j.spa.2023.104272arXiv2209.07938OpenAlexW4389670778MaRDI QIDQ6190445
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
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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