It is proved that the weak large deviation principle of the scaled processes $Z^\eps(t) = \eps Z(t/\eps)$ implies the weak large deviation principle for the scaled Green's measures of the Markov process $Z(t)$.
Logarithmic asymptotics for multidimensional extremes under non-linear scalings
Markov processes conditioned on their location at large exponential times
On an estimate of the rate of convergence for regenerative processes in queuing theory and related problems
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