439 citations · 1.3k across the 38 of their papers we have counts for
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math.PR2006★ 67 cited
Large deviations and a Kramers' type law for self-stabilizing diffusions
Samuel Herrmann, Peter Imkeller, Dierk Peithmann
We investigate exit times from domains of attraction for the motion of a self-stabilized particle traveling in a geometric (potential type) landscape and perturbed by Brownian nois…
math.PR2006
Metastable Behaviour of Small Noise Levy-Driven Diffusions
Peter Imkeller, Ilya Pavlyukevich
We consider a dynamical system in R driven by a vector field -U', where U is a multi-well potential satisfying some regularity conditions. We perturb this dynamical system by a Lev…