439 citations · 1.3k across the 38 of their papers we have counts for
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math.PR2004★ 4 cited
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…
math.PR2004★ 5 cited
First exit times of solutions of non-linear stochastic differential equations driven by symmetric Levy processes with alpha-stable components
Peter Imkeller, Ilya Pavlyukevich
We study the exit problem of solutions of the stochastic differential equation dX(t)=-U'(X(t))dt+epsilon dL(t) from bounded or unbounded intervals which contain the unique asymptot…