Gamma Expansions of Level Two Large Deviation Rate Functionals for Metastable Diffusions

Donghyun Kim, Insuk Seo

Consider the diffusions $d{X}_t^{\epsilon }=b(X_t^{\epsilon })dt+\sqrt{2\epsilon }\sigma (X_t^{\epsilon })d{B}_t$ on ${\mathbb{R}}^d$, where $b$ and $\sigma$ are smooth coefficients and $B_t$ is…