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Rare events in many-body systems: reactive paths and reaction constants for s...
This PhD thesis deals with the study of fundamental physics phenomena, with applications to nuclear materials of interest. We have developed methods for the study of... -
Coupled oscillators, disorder and synchronization
In this thesis, we study the synchronization Kuramoto model and more generally systems of mean-field interacting diffusions on the circle, in the presence of another... -
Self-interacting processes and large deviations
This thesis focuses on various aspects of non-Gaussian distributions and processes sharing scaling properties where the exponent 2/3 appears. The two probabilistic... -
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... -
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...
