On the domination of a random walk on a discrete cylinder by random interlacements

DOI10.1214/EJP.v14-679zbMath1196.60170arXiv0907.2184OpenAlexW2127088347MaRDI QIDQ1039159

Alain-Sol Sznitman

Publication date: 20 November 2009

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

Full work available at URL: https://arxiv.org/abs/0907.2184

zbMATH Keywords

random walksrandom interlacementsdisconnectiondiscrete cylinders

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) 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)

Related Items (14)

Two-dimensional random interlacements and late points for random walks ⋮ Gumbel fluctuations for cover times in the discrete torus ⋮ Soft local times and decoupling of random interlacements ⋮ Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\) ⋮ On the critical parameter of interlacement percolation in high dimension ⋮ Cover levels and random interlacements ⋮ Giant vacant component left by a random walk in a random \(d\)-regular graph ⋮ Random interlacements and amenability ⋮ Large deviations for occupation time profiles of random interlacements ⋮ On scaling limits and Brownian interlacements ⋮ On the size of a finite vacant cluster of random interlacements with small intensity ⋮ A lower bound on the critical parameter of interlacement percolation in high dimension ⋮ On the fragmentation of a torus by random walk ⋮ Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection

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