82 citations · 603 across the 15 of their papers we have counts for
10 papers · 1 filter
On the noise-induced passage through an unstable periodic orbit II: General case
Nils Berglund, Barbara Gentz
Consider a dynamical system given by a planar differential equation, which exhibits an unstable periodic orbit surrounding a stable periodic orbit. It is known that under random pe…
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond
Nils Berglund, Barbara Gentz
We prove a Kramers-type law for metastable transition times for a class of one-dimensional parabolic stochastic partial differential equations (SPDEs) with bistable potential. The…
Anomalous behavior of the Kramers rate at bifurcations in classical field theories
Nils Berglund, Barbara Gentz
We consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak spatio-temporal noise. As the interval length increases, a transition between a…
The Eyring-Kramers law for potentials with nonquadratic saddles
Nils Berglund, Barbara Gentz
The Eyring-Kramers law describes the mean transition time of an overdamped Brownian particle between local minima in a potential landscape. In the weak-noise limit, the transition…
Metastability in Interacting Nonlinear Stochastic Differential Equations II: Large-N Behaviour
Nils Berglund, Bastien Fernandez, Barbara Gentz
We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise, in the limit of large N. Each particle is subjected to a bistable local…
Metastability in Interacting Nonlinear Stochastic Differential Equations I: From Weak Coupling to Synchronisation
Nils Berglund, Bastien Fernandez, Barbara Gentz
We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise. Each particle is subjected to a bistable local potential, to a linear c…