Transition probabilities for infinite two-sided loop-erased random walks

DOI10.1214/19-EJP376zbMath1435.82011arXiv1810.08593OpenAlexW2993568545MaRDI QIDQ2279336

Gregory F. Lawler, Fredrik Johansson Viklund, Christian Beneš

Publication date: 12 December 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08593

zbMATH Keywords

Green's functionLaplaciandiscrete harmonic functionsloop-erased random walk

Mathematics Subject Classification ID

Stochastic processes (60G99) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (1)

Some notes on random walks in two dimensions

Cites Work

• Scaling limit of the loop-erased random walk Green's function
• The {B}eurling estimate for a class of random walks
• On the rate of convergence of loop-erased random walk to \(\mathrm{SLE}_{2}\)
• Four-dimensional loop-erased random walk
• 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
• Conformal invariance of spin correlations in the planar Ising model
• Correction to: ``Ising model: local spin correlations and conformal invariance
• Random Walk: A Modern Introduction
• A connective constant for loop-erased self-avoiding random walk
• An approximation of partial sums of independent RV's, and the sample DF. II
• An approximation of partial sums of independent RV'-s, and the sample DF. I
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