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- Centre National de la Recherche ScientifiqueFR13 papers
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4 papers · 1 filter
The effect of classical noise on a quantum two-level system
Jean-Philippe Aguilar, Nils Berglund
We consider a quantum two-level system perturbed by classical noise. The noise is implemented as a stationary diffusion process in the off-diagonal matrix elements of the Hamiltoni…
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…
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…