34 citations · 132 across the 19 of their papers we have counts for
19 papers
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…
Tiny fluctuations of the averaging process around its degenerate steady state
Federico Sau
We analyze nonequilibrium fluctuations of the averaging process on , a continuous degenerate Gibbs sampler running over the edges of the discrete -dimen…
From quenched invariance principle to semigroup convergence with applications to exclusion processes
Alberto Chiarini, Simone Floreani, Federico Sau
Consider a random walk on in a translation-invariant and ergodic random environment and starting from the origin. In this short note, assuming that a quenched invari…
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…
Full -expansion of reversible Markov chains level two large deviations rate functionals
Claudio Landim, Ricardo Misturini, Federico Sau
Let , , be a sequence of finite sets and consider a -valued, irreducible, reversible, continuous-time Markov chain . Denot…
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 in a random trapping environment. In dimension , we derive the fractional kinetics equation \begin{equatio…
Cutoff for the Averaging process on the hypercube and complete bipartite graphs
Pietro Caputo, Matteo Quattropani, Federico Sau
We consider the averaging process on a graph, that is the evolution of a mass distribution undergoing repeated averages along the edges of the graph at the arrival times of indepen…
On the meeting of random walks on random DFA
Matteo Quattropani, Federico Sau
We consider two random walks evolving synchronously on a random out-regular graph of vertices with bounded out-degree , also known as a random Deterministic Finite Auto…
Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains
Lorenzo Dello Schiavo, Lorenzo Portinale, Federico Sau
We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain , with both fast and slow boundary. For the random walks on dual t…
Mixing of the Averaging process and its discrete dual on finite-dimensional geometries
Matteo Quattropani, Federico Sau
We analyze the -mixing of a generalization of the Averaging process introduced by Aldous. The process takes place on a growing sequence of graphs which we assume to be finite-…
Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems
Joe P. Chen, Federico Sau
Motivated by the recent preprint [arXiv:2004.08412] by Ayala, Carinci, and Redig, we first provide a general framework for the study of scaling limits of higher order fields. Then,…
Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
Chiara Franceschini, Patrícia Gonçalves, Federico Sau
We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the inte…
Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations
Simone Floreani, Frank Redig, Federico Sau
We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder.…
Hydrodynamics for the partial exclusion process in random environment
Simone Floreani, Frank Redig, Federico Sau
In this paper, we introduce a random environment for the exclusion process in obtained by assigning a maximal occupancy to each site. This maximal occupancy is allow…
Symmetric simple exclusion process in dynamic environment: hydrodynamics
Frank Redig, Ellen Saada, Federico Sau
We consider the symmetric simple exclusion process in with quenched bounded dynamic random conductances and prove its hydrodynamic limit in path space. The main tool…
Stochastic duality and eigenfunctions
Frank Redig, Federico Sau
We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common…
Factorized duality, stationary product measures and generating functions
Frank Redig, Federico Sau
We find all factorized duality functions for a class of interacting particle systems. The functions we recover are self-duality functions for interacting particle systems such as z…
Generalized immediate exchange models and their symmetries
Frank Redig, Federico Sau
We reconsider the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inc…
Duality and stationary distributions of the "Immediate Exchange Model" and its generalizations
Bart Van Ginkel, Frank Redig, Federico Sau
We prove that the "Immediate Exchange Model" of econophysics has a discrete dual, where the duality functions are those connecting the Brownian Energy Process and the Symmetric Inc…