Green's functions of random walks on the upper half plane
type: Item
instance of: scholarly article
title: Green's functions of random walks on the upper half plane
zbMATH Open document ID: 1296.60119
author: Kohei Uchiyama
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2014-09-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.tmj/1404911864
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 6341720
zbMATH Keywords: asymptotic formula
zbMATH Keywords: Green function
zbMATH Keywords: random walk of zero mean and finite variance
zbMATH Keywords: hitting probability of half plane
MaRDI profile type: Publication
OpenAlex ID: W2061220317
cites work: Martin boundaries associated with a killed random walk
cites work: Quantum random walk on the dual of SU\((n)\)
cites work: Invariance principles for random walks conditioned to stay positive
cites work: Q3269437
cites work: Q5624436
cites work: Potential kernel for two-dimensional random walk
cites work: Martin boundary of a killed random walk on a quadrant
cites work: One-dimensional Brownian motion and the three-dimensional Bessel process
cites work: Green functions and Martin compactification for killed random walks related to \(SU(3)\)
cites work: Q5731217
cites work: On a formula on the potential operators of absorbing Lévy processes in the half space
cites work: Green's Functions for Random Walks on ZN
cites work: The Green functions of two dimensional random walks killed on a line and their higher dimensional analogues
cites work: The hitting distributions of a line for two dimensional random walks
cites work: The first hitting time of a single point for random walks
cites work: One dimensional lattice random walks with absorption at a point/on a half line
DOI: 10.2748/TMJ/1404911864
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description: scientific article; zbMATH DE number 6341720