On Brownian motion, simple paths, and loops

DOI10.1007/s00440-017-0817-6zbMath1404.60062arXiv1512.04864OpenAlexW2963006097MaRDI QIDQ1626614

Daisuke Shiraishi, Artëm Sapozhnikov

Publication date: 21 November 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04864

zbMATH Keywords

Brownian motionscaling limitrandom walk

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40)

Related Items (9)

The number of spanning clusters of the uniform spanning tree in three dimensions ⋮ Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure ⋮ Scaling limit for random walk on the range of random walk in four dimensions ⋮ Growth exponent for loop-erased random walk in three dimensions ⋮ Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup ⋮ One-point function estimates for loop-erased random walk in three dimensions ⋮ Scaling limits of the three-dimensional uniform spanning tree and associated random walk ⋮ Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions ⋮ The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk

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