The vacant set of two-dimensional critical random interlacement is infinite

DOI10.1214/17-AOP1177zbMath1409.60140arXiv1606.05805MaRDI QIDQ682279

Serguei Popov, Francis Comets

Publication date: 14 February 2018

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05805

zbMATH Keywords

annular domainsimple random walkrandom interlacementsvacant setcritical regimeDoob's \(h\)-transform

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 (9)

Rate of escape of conditioned Brownian motion ⋮ A one-dimensional version of the random interlacements ⋮ Transience of conditioned walks on the plane: encounters and speed of escape ⋮ Two-dimensional random interlacements: 0-1 law and the vacant set at criticality ⋮ Conditioned two-dimensional simple random walk: Green's function and harmonic measure ⋮ On pinned fields, interlacements, and random walk on \(({\mathbb {Z}}/N {\mathbb {Z}})^2\) ⋮ On the range of a two-dimensional conditioned simple random walk ⋮ Second-order term of cover time for planar simple random walk ⋮ Two-dimensional Brownian random interlacements

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