67 citations · 67 across the 1 of their papers we have counts for
2 papers
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.PR2004
Transition times and stochastic resonance for multidimensional diffusions with time periodic drift: A large deviations approach
Samuel Herrmann, Peter Imkeller, Dierk Peithmann
We consider potential type dynamical systems in finite dimensions with two meta-stable states. They are subject to two sources of perturbation: a slow external periodic perturbatio…