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

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.
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Journal articles
Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2010, 15, pp.176-190
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Contributor : Kilian Raschel <>
Submitted on : Friday, November 19, 2010 - 9:00:29 AM
Last modification on : Wednesday, October 12, 2016 - 1:03:15 AM
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Kilian Raschel. Green functions and Martin compactification for killed random walks related to SU(3). Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2010, 15, pp.176-190. <hal-00425651v2>

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