output
20022009
most citedOn the noise-induced passage through an unstable periodic orbit I: Two-level model

41 citations

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Showing 2006 · math.PRShow all

4 papers · 2 filters

math.PR2006★ 2 cited

Sinai's walk: a statistical aspect

Pierre Andreoletti

We consider Sinai's random walk in random environment. We prove that the logarithm of the local time is a good estimator of the random potential associated to the random environmen…

math.PR2006★ 22 cited

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…

math.PR2006★ 37 cited

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…

math.PR2006★ 6 cited

Changing the branching mechanism of a continuous state branching process using immigration

Romain Abraham, Jean-Francois Delmas

We construct a continuous state branching process with immigration (CBI) whose immigration depends on the CBI itself and we recover a continuous state branching process (CB). This…