33 citations · 38 across the 4 of their papers we have counts for
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math.PR2004
On the spectrum of Markov semigroups via sample path large deviations
Irina Ignatiouk-Robert
The essential spectral radius of a sub-Markovian process is defined as the infimum of the spectral radiuses of all local perturbations of the process. When the family of rescaled p…
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:…