## Electronic Communications in Probability

### $t$-Martin boundary of reflected random walks on a half-space

Irina Ignatiouk-Robert

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 15 (2010), paper no. 15, 149-161.

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

https://projecteuclid.org/euclid.ecp/1465243958

Digital Object Identifier
doi:10.1214/ECP.v15-1541

Mathematical Reviews number (MathSciNet)
MR2651547

Zentralblatt MATH identifier
1226.60104

Rights

#### Citation

Ignatiouk-Robert, Irina. $t$-Martin boundary of reflected random walks on a half-space. Electron. Commun. Probab. 15 (2010), paper no. 15, 149--161. doi:10.1214/ECP.v15-1541. https://projecteuclid.org/euclid.ecp/1465243958

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