We consider a one-dimensional symmetric simple exclusion process in contact with slowed
reservoirs: at the left (resp. right) boundary, particles are either created or removed at rates …

Approaches to estimate the number of almost periodic solutions of ordinary differential
equations are considered. Conditions that allow determination for both upper and lower …

We prove the non-equilibrium fluctuations for the one-dimensional symmetric simple
exclusion process with a slow bond. This generalizes a result of [Stochastic Process. Appl …

In this article we obtain the equilibrium fluctuations of a symmetric exclusion process in Z
with long jumps. The transition probability of the jump from x to y is proportional to| x− y|− γ …

We consider the symmetric simple exclusion process one-dimensional with a slow bond.
The rates of jump are one for all bonds, except at the particular bond 10, 1l, where the rate of …

This thesis is focused on the development of two important contributions in the area of
scaling limits of interacting particle systems. The first result establishes the hydrodynamic …