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

41 citations

Showing 2006Show all

10 papers · 1 filter

math.CA20062 cited

Heat kernel and Green function estimates on affine buildings of type

Jean-Philippe Anker, Bruno Schapira, Bartosz Trojan

We obtain a global estimate of the transition density associated to a nearest neighbor random walk, called here "simple", on affine buildings of type .…

math.CA2006

Distributions that are convolvable with generalized Poisson kernel of solvable extensions of homogeneous Lie groups

Ewa Damek, Jacek Dziubanski, Philippe Jaming +1

In this paper, we characterize the class of distributions on an homogeneous Lie group $\fN$ that can be extended via Poisson integration to a solvable one-dimensional extension $\f…

math.PR20062 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.PR200622 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.PR200637 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.OC2006

On the stabilization problem for nonholonomic distributions

Ludovic Rifford, Emmanuel Trélat

Let be a smooth connected and complete manifold of dimension , and be a smooth nonholonomic distribution of rank on . We prove that, if there exists a smoot…