Federico Sau

collaborators

5 papers

math.PR2026

Hydrodynamic limit of the directed exclusion process

Ellen Saada, Federico Sau, Assaf Shapira

We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hol…

math.PR2024

Tiny fluctuations of the averaging process around its degenerate steady state

Federico Sau

We analyze nonequilibrium fluctuations of the averaging process on $T_{ε}^{d}$ , a continuous degenerate Gibbs sampler running over the edges of the discrete $d$ -dimen…

math.PR2024

Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models

Alberto Chiarini, Simone Floreani, Federico Sau

We consider a partial exclusion process evolving on $Z^{d}$ in a random trapping environment. In dimension $d \geq 2$ , we derive the fractional kinetics equation \begin{equatio…

math.PR2024

Full $I^$ -expansion of reversible Markov chains level two large deviations rate functionals

Claudio Landim, Ricardo Misturini, Federico Sau

Let $I^_{n} \subset R^{d}$ , $n \geq 1$ , be a sequence of finite sets and consider a $I^_{n}$ -valued, irreducible, reversible, continuous-time Markov chain $(X_{t}^{(n)} : t \geq 0)$ . Den…

math.PR2024

Spectral gap of the symmetric inclusion process

Seonwoo Kim, Federico Sau

We consider the symmetric inclusion process on a general finite graph. Our main result establishes universal upper and lower bounds for the spectral gap of this interacting particl…

Hydrodynamic limit of the directed exclusion process

Tiny fluctuations of the averaging process around its degenerate steady state

Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models

Full I^-expansion of reversible Markov chains level two large deviations rate functionals

Spectral gap of the symmetric inclusion process

Full $I^$ -expansion of reversible Markov chains level two large deviations rate functionals