37 citations · 183 across the 20 of their papers we have counts for
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Slow-fast dynamics in stochastic Lotka-Volterra systems
Julien Barré, Bastien Fernandez, Grégoire Panel
We investigate the large population dynamics of a family of stochastic particle systems with three-state cyclic individual behaviour and parameter-dependent transition rates. On sh…
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…