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4 papers · 2 filters
Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes
Claudio Landim, Aniura Milanés, Stefano Olla
We prove nonequilibrium fluctuations for the boundary driven symmetric simple exclusion process. We deduce from this result the stationary fluctuations.
A functional central limit theorem for the M/GI/ queue
Laurent Decreusefond, Pascal Moyal
In this paper, we present a functional fluid limit theorem and a functional central limit theorem for a queue with an infinity of servers M/GI/. The system is represented b…
Probabilistic approach for granular media equations in the non uniformly convex case
Patrick Cattiaux, Guillin Arnaud, Malrieu Florent
We use here a particle system to prove a convergence result as well as a deviation inequality for solutions of granular media equation when the confinement potential and the intera…
Deviation bounds for additive functionals of Markov process
Patrick Cattiaux, Arnaud Guillin
In this paper we derive non asymptotic deviation bounds for where is a stationary and ergodic Markov process and $…