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Theses

Tools and results in the study of entropy production

Abstract : This thesis consists mainly of a collection of papers on the study of the large-time asymptotics of entropy production and associated mixing problems. After having introduced the central notions, we present, in order: a study of the vanishing-noise limit for the large deviations of entropy production functionals in nondegenerate diffusions; an exponential mixing result for stochastic differential equations driven by degenerate Brownian noise; an exponential mixing result for stochastic differential equations driven by degenerate Poissonian noise; a study of the large-time behaviour of ensembles of fermionic walkers interacting with a structured environment; a study of currents and entropy production in a similar framework.
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Renaud Raquepas. Tools and results in the study of entropy production. Dynamical Systems [math.DS]. Université Grenoble Alpes [2020-..]; McGill university (Montréal, Canada), 2020. English. ⟨NNT : 2020GRALM052⟩. ⟨tel-03132942⟩

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