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math.PR2009★ 4 cited
Martin boundary of a killed random walk on
Irina Ignatiouk-Robert
The Martin compactification is investigated for a d-dimensional random walk which is killed when at least one of it's coordinates becomes zero or negative. The limits of the Martin…
math.PR2004★ 33 cited
Large deviations for processes with discontinuous statistics
Irina Ignatiouk-Robert
This paper is devoted to the problem of sample path large deviations for the Markov processes on R_+^N having a constant but different transition mechanism on each boundary set {x:…