241 citations
- Université de RennesFR519 papers
- Centre National de la Recherche ScientifiqueFR335 papers
- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
- Institut National des Sciences Appliquées de RennesFR36 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR26 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Institut de Mathématiques de ToulouseFR24 papers
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- Centre Inria de l'Université de RennesFR20 papers
6 papers · 2 filters
Limit shapes of large skew Young tableaux and a modification of the TASEP process
Anna Gordenko
We present a survey of points of view on the problem of the asymptotic shape of a path between two large Young diagrams, and introduce a modification of the TASEP process related t…
WARM percolation on a regular tree in the strong reinforcement regime
Christian Hirsch, Mark Holmes, Victor Kleptsyn
We consider a class of reinforcement processes, called WARMs, on tree graphs. These processes involve a parameter which governs the strength of the reinforcement, and a collect…
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network
Arnaud Debussche, Mac Jugal Nguepedja Nankep
We consider multiscale stochastic spatial gene networks involving chemical reactions and diffusions. The model is Markovian and the transitions are driven by Poisson random clocks.…
Existence of martingale solutions for stochastic flocking models with local alignment
Arnaud Debussche, Angelo Rosello
We establish the existence of martingale solutions to a class of stochastic conservation equations. The underlying models correspond to random perturbations of kinetic models for c…
Asymptotic behaviour for a time-inhomogeneous Kolmogorov type diffusion
Mihai Gradinaru, Emeline Luirard
We study a kinetic stochastic model with a non-linear time-inhomogeneous drag force and a Brownian-type random force. More precisely, the Kolmogorov type diffusion is consi…
Spatial birth-death-move processes : basic properties and estimation of their intensity functions
Frédéric Lavancier, Ronan Le Guével
Many spatio-temporal data record the time of birth and death of individuals, along with their spatial trajectories during their lifetime, whether through continuous-time observatio…