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Lyapunov functionals for boundary-driven nonlinear drift-diffusions
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Remarks on a constrained optimization problem for the Ginibre ensemble
We study the limiting distribution of the eigenvalues of the Ginibre ensemble conditioned on the event that a certain proportion lie in a given region of the complex... -
Large deviations for the local fluctuations of random walks
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Cramér large deviation expansions for martingales under Bernstein's condition
International audience -
Cramér large deviation expansions for martingales under Bernstein's condition
International audience -
Entropy of non-equilibrium stationary measures of boundary driven TASEP
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A singular large deviations phenomenon
Consider {X(t,epsilon) : t>=0} (epsilon>0), the solution starting from 0 of a stochastic differential equation, which is a small Brownian perturbation of the... -
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
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Large deviations, dynamics and phase transitions in large stochastic heteroge...
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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...
