The Loewner difference equation and convergence of loop-erased random walk

zbMath1494.60084arXiv1611.01406MaRDI QIDQ5093981

Gregory F. Lawler, Fredrik Johansson Viklund

Publication date: 2 August 2022

Full work available at URL: https://arxiv.org/abs/1611.01406

zbMATH Keywords

Schramm-Loewner evolutionloop-erased random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Cites Work

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• Scaling limit of the loop-erased random walk Green's function
• Convergence of loop-erased random walk in the natural parameterization
• Estimates of random walk exit probabilities and application to loop-erased random walk
• Conformal invariance of planar loop-erased random walks and uniform spanning trees.

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