127 citations
- Université de RennesFR59 papers
- Centre National de la Recherche ScientifiqueFR18 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Institut national de recherche en sciences et technologies du numériqueFR7 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Institut National des Sciences Appliquées de RennesFR5 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR5 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
- Toronto Metropolitan UniversityCA4 papers
- Institut FourierFR3 papers
- Unité de Mathématiques Pures et AppliquéesFR3 papers
4 papers · 2 filters
On the length of one-dimensional reactive paths
Frédéric Cérou, Arnaud Guyader, Tony Lelièvre +1
Motivated by some numerical observations on molecular dynamics simulations, we analyze metastable trajectories in a very simplecsetting, namely paths generated by a one-dimensional…
On the stability of planar randomly switched systems
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
Consider the random process (Xt) solution of dXt/dt = A(It) Xt where (It) is a Markov process on {0,1} and A0 and A1 are real Hurwitz matrices on R2. Assuming that there exists lam…
A note on the Martin boundary of the simple random walk on an example of directed graph
Basile de Loynes
In this note, we study the Martin boundary of the simple random walk on an example of directed graph. More precisely, the Martin boundary is shown to be trivial, i.e. there is no n…
On the recurrence set of planar Markov Random Walks
Loïc Hervé, Françoise Pène
In this paper, we investigate the properties of recurrent planar Markov random walks. More precisely, we study the set of recurrent points with the use of local limit theorems. The…