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2010 $t$-Martin boundary of reflected random walks on a half-space
Irina Ignatiouk-Robert
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Electron. Commun. Probab. 15: 149-161 (2010). DOI: 10.1214/ECP.v15-1541

Abstract

The $t$-Martin boundary of a random walk on a half-space with reflected boundary conditions is identified. It is shown in particular that the $t$-Martin boundary of such a random walk is not stable in the following sense: for different values of $t$, the $t$-Martin compactifications are not equivalent.

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Irina Ignatiouk-Robert. "$t$-Martin boundary of reflected random walks on a half-space." Electron. Commun. Probab. 15 149 - 161, 2010. https://doi.org/10.1214/ECP.v15-1541

Information

Accepted: 19 May 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1226.60104
MathSciNet: MR2651547
Digital Object Identifier: 10.1214/ECP.v15-1541

Subjects:
Primary: 60J10
Secondary: 31C05, 31C35, 60J45, 60J50

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