The Green functions of two dimensional random walks killed on a line and their higher dimensional analogues

DOI10.1214/EJP.v15-793zbMath1226.60069OpenAlexW2017506518MaRDI QIDQ638317

Kôhei Uchiyama

Publication date: 9 September 2011

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

Full work available at URL: http://www.emis.de/journals/EJP-ECP/_ejpecp/viewarticle127a.html

zbMATH Keywords

asymptotic formulaGreen functionabsorption on a linerandom walk of zero mean and finite variances

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45)

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Green functions for killed random walks in the Weyl chamber of \(\mathrm{Sp}(4)\), One dimensional lattice random walks with absorption at a point/on a half line, Green's functions of random walks on the upper half plane