Sonia Velasco (MAP5)

Sonia Velasco (MAP5)

Dynamic and static large deviations for the total mass of a one dimensional SSEP in contact with slow reservoirs


21 avril 2023    
13h30 - 14h30

Salle du Conseil, Espace Turing
45 rue des Saints-Pères, Paris, 75006

Type d’évènement

We consider a speeded up symmetric simple exclusion process with slow boundaries. We prove the hydrodynamic limit of the total mass as well as a pointwise hydrodynamic limit of the process. We then establish a dynamic and static large deviations principle for the total mass. The functional obtained in the static case for the mass, gives a hint at the one expected in the non accelerated case for the whole process. This work is a collaboration with Claudio Landim (IMPA, Rio de Janeiro).

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