82 citations · 603 across the 15 of their papers we have counts for
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physics.ao-ph2001★ 63 cited
Metastability in simple climate models: Pathwise analysis of slowly driven Langevin equations
Nils Berglund, Barbara Gentz
We consider simple stochastic climate models, described by slowly time-dependent Langevin equations. We show that when the noise intensity is not too large, these systems can spend…
cond-mat.stat-mech2001★ 15 cited
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems
Nils Berglund, Barbara Gentz
We introduce a new method, allowing to describe slowly time-dependent Langevin equations through the behaviour of individual paths. This approach yields considerably more informati…
math.DS2001★ 31 cited
The effect of additive noise on dynamical hysteresis
Nils Berglund, Barbara Gentz
We investigate the properties of hysteresis cycles produced by a one-dimensional, periodically forced Langevin equation. We show that depending on amplitude and frequency of the fo…