Exponential tail bounds for loop-erased random walk in two dimensions

DOI10.1214/10-AOP539zbMath1207.60035arXiv0910.5015MaRDI QIDQ606636

Martin T. Barlow, Robert D. Masson

Publication date: 18 November 2010

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

Full work available at URL: https://arxiv.org/abs/0910.5015

zbMATH Keywords

loop-erased random walkgrowth exponentexponential tail bounds

Mathematics Subject Classification ID

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

Related Items (13)

Scaling limit of the loop-erased random walk Green's function ⋮ Pivotal, cluster, and interface measures for critical planar percolation ⋮ Some partial results on the convergence of loop-erased random walk to \(\mathrm{SLE}(2)\) in the natural parametrization ⋮ Spectral dimension and random walks on the two dimensional uniform spanning tree ⋮ A random walk on a non-intersecting two-sided random walk trace is subdiffusive in low dimensions ⋮ Growth exponent for loop-erased random walk in three dimensions ⋮ SLE as a mating of trees in Euclidean geometry ⋮ Universality of high-dimensional spanning forests and sandpiles ⋮ Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree ⋮ Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions ⋮ Geometry of Uniform Spanning Forest Components in High Dimensions ⋮ Unimodular random trees ⋮ The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk

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• The scaling limit of loop-erased random walk in three dimensions
• Random Walk: A Modern Introduction
• The asymptotic determinant of the discrete Laplacian

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