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Large deviations for estimators of unknown probabilities, with applications i...
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Large Deviations Principles for Perturbed Conservation Laws
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Large Deviations Principle for Stochastic Scalar Conservation Laws
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Gamma-entropy cost functional for non-entropic solutions to conservation laws
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Yule process sample path asymptotics
This research report presents two results on sample paths for the Yule process: one fluid limit theorem and one sample path large deviation result. The main interest... -
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... -
Stochastic differential equations with non-lipschitz coefficients: I. Pathwis...
A short version will be published in C. R. Acad. Paris. -
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
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Cramér large deviation expansions for martingales under Bernstein's condition
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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...
