-
Mathematical study of stochastic models of evolution belonging to the ecologi...
This thesis is interested in the probabilistic study ofecological models belonging to the recent theory of "adaptive dynamics". After having presented and generalized... -
Operator-valued spectral measures and large deviations
International audience -
Large deviations, dynamics and phase transitions in large stochastic heteroge...
International audience -
Sharp large deviations for some hyperbolic systems
arXiv admin note: substantial text overlap with arXiv:0810.1126 http://dx..doi.org/10.1017/etds.2013.48 -
Langevin Dynamics, Large Deviations and Instantons for the Quasi-Geostrophic ...
We investigate a class of simple models for Langevin dynamics of turbulent flows, including the one-layer quasi-geostrophic equation and the two-dimensional Euler... -
Rare Events and Conditional Events on Random Strings
International audience -
SYNCHRONIZATION AND PHASE REDUCTION IN INTERACTING STOCHASTIC SYSTEMS
The subject of this thesis is the role of noise in interacting systems, with an eye to applications in Biology. This study is based on the Kuramoto model, a model of... -
Large deviations for polling systems
Related INRIA Research report available at : http://hal.inria.fr/docs/00/07/27/62/PDF/RR-3892.pdf -
Exit-time of an inhomogeneous diffusion
We investigate the exit problem for a diffusion which drift is not time-homogeneous. More precisely, we study this problem for a McKean-Vlasov diffusion, that...
