5 citations · 5 across the 2 of their papers we have counts for
4 papers
The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps
André de Oliveira Gomes, Michael A. Högele
We establish Freidlin-Wentzell results for a nonlinear ordinary differential equation starting close to the stable state , say, subject to a perturbation by a stochastic integra…
A strong averaging principle for Lévy diffusions in foliated spaces with unbounded leaves
Paulo-Henrique da Costa, Michael A. Högele, Paulo R. Ruffino
This article extends a strong averaging principle for Lévy diffusions which live on the leaves of a foliated manifold subject to small transversal Lévy type perturbation to the cas…
The exit problem from the neighborhood of a global attractor for heavy-tailed Lévy diffusions
Michael Högele, Ilya Pavlyukevich
We consider a finite dimensional deterministic dynamical system with a global attractor A with a unique ergodic measure P concentrated on it, which is uniformly parametrized by the…
Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise
Arnaud Debussche, Michael Högele, Peter Imkeller
We study the first exit times form a reduced domain of attraction of a stable fixed of the Chafee-Infante equation when perturbed by a heavy tailed Lévy noise with small intensity.