12/01/2022, 16:00 — 17:00 — Online
Davide Gabrielli, University of L'Aquila
A double limite for the current of particle systems. The order does not matter
We consider diffusive particle systems evolving on a lattice of mesh $1/N$ and study the large deviations for the current on a time window $[0,T]$. We consider two different asymptotics. In the first case we send before $N\to +\infty$ with a diffusive hydrodynamic rescaling keeping $T$ fixed, and then send $T\to +\infty$. In the second case we send before $T\to +\infty$ keeping $N$ fixed and then send $N\to +\infty$.
