Sonia Velasco (MAP5)
Dynamic and static large deviations for the total mass of a one dimensional SSEP in contact with slow reservoirs
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).