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


 
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1. Title Title of document Green functions and Martin compactification for killed random walks related to SU(3)
 
2. Creator Author's name, affiliation, country Kilian Raschel; Universite Pierre et Marie Curie
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) killed random walks, Green functions, Martin compactification, uniformization.
 
3. Subject Subject classification primary 60G50, 31C35 ; secondary 30F10.
 
4. Description 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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7. Date (YYYY-MM-DD) 2010-05-27
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1543
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1543
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
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