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arxiv: math/0610040 · v2 · submitted 2006-10-01 · 🧮 math.PR

Quasipotential and logarithmic asymptotics of the Green's measures

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keywords deviationgreenlargemeasuresprinciplescaledweakasymptotics
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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 $Z(t)$.

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