Green functions and Martin compactification for killed random walks related to SU(3)

Kilian Raschel

Type: Article

Publication Date: 2010-01-01

Citations: 13

DOI: https://doi.org/10.1214/ecp.v15-1543

Abstract

We consider the random walks killed at the boundary of the quarter plane, with homogeneous non-zero jump probabilities to the eight nearest neighbors and drift zero in the interior, and which admit a positive harmonic polynomial of degree three. For these processes, we find the asymptotic of the Green functions along all infinite paths of states, and from this we deduce that the Martin compactification is the one-point compactification.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
Electronic Communications in Probability - View - PDF

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+ PDF Chat	Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes	2011	Irina Kurkova Kilian Raschel
+ PDF Chat	Martin boundaries of cartesian products of markov chains	1992	Massimo A. Picardello Wolfgang Woess
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+	A Brownian-Motion Model for the Eigenvalues of a Random Matrix	1962	Freeman J. Dyson
+ PDF Chat	Equation de Choquet-Deny sur le dual d'un groupe compact	1992	Ph. Biane
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