41 citations · 41 across the 1 of their papers we have counts for
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physics.ao-ph2001
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
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
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…