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Quasipotential and logarithmic asymptotics of the Green's measures

Irina Ignatiouk-Robert
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Abstract

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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Irina Ignatiouk-Robert. 2006-10-12. Quasipotential and logarithmic asymptotics of the Green's measures. https://arxiv.org/abs/math/0610040

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