Rates of convergence for the planar discrete Green's function in pacman domains

DOI10.1214/21-EJP599zbMath1469.31004arXiv2005.04514OpenAlexW3145822479MaRDI QIDQ2042743

Christian Beneš

Publication date: 21 July 2021

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

Full work available at URL: https://arxiv.org/abs/2005.04514

zbMATH Keywords

rate of convergenceGreen's functionsimple random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• Discrete complex analysis on isoradial graphs
• Potential kernel for two-dimensional random walk
• Estimates of random walk exit probabilities and application to loop-erased random walk
• The difference between a discrete and continuous harmonic measure
• On the rate of convergence of loop-erased random walk to \(\mathrm{SLE}_{2}\)
• Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field
• Random Walk: A Modern Introduction
• An approximation of partial sums of independent RV's, and the sample DF. II
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