On the range of a two-dimensional conditioned simple random walk

DOI10.5802/ahl.20zbMath1454.60110arXiv1804.00291OpenAlexW2972906478MaRDI QIDQ2273134

Serguei Popov, Marina Vachkovskaia, Nina Gantert

Publication date: 18 September 2019

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00291

zbMATH Keywords

transiencesimple random walkrangerandom interlacementsDoob's \(h\)-transform

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (5)

Rate of escape of conditioned Brownian motion ⋮ Large deviations of the range of the planar random walk on the scale of the mean ⋮ Transience of conditioned walks on the plane: encounters and speed of escape ⋮ Harnack inequality and one-endedness of UST on reversible random graphs ⋮ Conditioned two-dimensional simple random walk: Green's function and harmonic measure

Cites Work

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• Soft local times and decoupling of random interlacements
• Vacant set of random interlacements and percolation
• Non-homogeneous Random Walks
• Random Walk: A Modern Introduction
• An Introduction to Random Interlacements
• A note on the Borel-Cantelli lemma

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