Scaling limit of the loop-erased random walk Green's function

DOI10.1007/s00440-015-0655-3zbMath1362.82026arXiv1402.7345OpenAlexW1931081260MaRDI QIDQ328782

Gregory F. Lawler, Christian Beneš, Fredrik Johansson Viklund

Publication date: 21 October 2016

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

Full work available at URL: https://arxiv.org/abs/1402.7345

zbMATH Keywords

Green's functionscaling limitPoisson kernelSchramm-Loewner evolutionloop-erased random walkFomin's identityloop measure

Mathematics Subject Classification ID

Stochastic processes (60G99) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (17)

Convergence of loop-erased random walk in the natural parameterization ⋮ SLE loop measures ⋮ Boundary correlations in planar LERW and UST ⋮ UST branches, martingales, and multiple SLE(2) ⋮ The infinite two-sided loop-erased random walk ⋮ The Green's function on the double cover of the grid and application to the uniform spanning tree trunk ⋮ Non-backtracking loop soups and statistical mechanics on spin networks ⋮ Topics in loop measures and the loop-erased walk ⋮ Spin systems from loop soups ⋮ Decomposition of Schramm-Loewner evolution along its curve ⋮ The Loewner difference equation and convergence of loop-erased random walk ⋮ Displacement exponent for loop-erased random walk on the Sierpiński gasket ⋮ Optimal Hölder continuity and dimension properties for SLE with Minkowski content parametrization ⋮ One-point function estimates for loop-erased random walk in three dimensions ⋮ Transition probabilities for infinite two-sided loop-erased random walks ⋮ Multipoint estimates for radial and whole-plane SLE ⋮ Near-critical spanning forests and renormalization

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