FEDERICO SAU

RESEARCH INTERESTS

My main research area is probability theory. Motivated by problems in mathematical statistical physics, my current research revolves around interacting particle systems and, more specifically, around

scaling limits (e.g., hydrodynamic limits)
exact solvability (e.g., duality, intertwining, graphical constructions)
stochastic homogenization in static or dynamic random environment

I am also interested in functional inequalities and mixing times for Markov chains

For more info: arXiv.org and Google Scholar's personal pages

PREPRINTS

A universal cutoff phenomenon for mean-field exchange models (with P. Caputo & M. Quattropani). (2025) (arXiv)
Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs (with S. Kim & M. Quattropani). (2025) (arXiv)
One- and two-particle spectral gap identities for the symmetric inclusion process and related models (with S. Kim). (2024) (arXiv)
Repeated Block Averages: entropic time and mixing profiles (with P. Caputo & M. Quattropani). (2024) (arXiv)

PUBLICATIONS

Tiny fluctuations of the averaging process around its degenerate steady state.
Annals of Probability 53(5):1919-1957 (2025) (arXiv, published)
Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models (with A. Chiarini & S. Floreani).
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (2025+) (to appear) (arXiv)
From quenched invariance principle to semigroup convergence with applications to exclusion processes (with A. Chiarini & S. Floreani).
Electronic Communications in Probability 29:1-17 (2024) (arXiv, published)
Full Γ-expansion of reversible Markov chains level two large deviations rate functionals (with C. Landim & R. Misturini).
Annals of Applied Probability 34(6):5578-5614 (2024) (arXiv, published)
Concentration and local smoothness of the averaging process.
Electronic Journal of Probability 29:1-26 (2024) (arXiv, published)
Spectral gap of the symmetric inclusion process (with S. Kim).
Annals of Applied Probability 34(5):4899-4920 (2024) (arXiv, published)
Scaling limits of random walks, harmonic profiles, and stationary non-equilibrium states in Lipschitz domains (with L. Dello Schiavo & L. Portinale).
Annals of Applied Probability 34(2):1789-1845 (2024) (arXiv, published)
On the meeting of random walks on random DFA (with M. Quattropani).
Stochastic Processes and their Applications 166:1-33 (2023) (arXiv, published)
Cutoff for the averaging process on the hypercube and complete bipartite graphs (with P. Caputo & M. Quattropani).
Electronic Journal of Probability 28:1-31 (2023) (arXiv, published)
Mixing of the averaging process and its discrete dual on finite-dimensional geometries (with M. Quattropani).
Annals of Applied Probability 33(2):937-971 (2023) (arXiv, published)
Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics (with C. Franceschini & P. Gonçalves).
Bernoulli 28(2):1340-1381 (2022) (arXiv, published)
Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations (with S. Floreani & F. Redig).
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 58(1):220-247 (2022) (arXiv, published)
Hydrodynamics for the partial exclusion process in random environment (with S. Floreani & F. Redig).
Stochastic Processes and their Applications 142:124-158 (2021) (arXiv, published)
Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems (with J. P. Chen).
Markov Processes and Related Fields 27(3):339-380 (2021) (arXiv, published)
Symmetric simple exclusion process in dynamic environment: hydrodynamics (with F. Redig & E. Saada).
Electronic Journal of Probability 25:1-47 (2020) (arXiv, published)
Stochastic duality and eigenfunctions (with F. Redig).
in Stochastic Dynamics Out of Equilibrium. Institut Henri Poincaré, Paris, France, 2017 (eds. Giacomin, G. et al.) 282:621-649 (Springer International Publishing, 2019) (arXiv, published)
Factorized Duality, Stationary Product Measures and Generating Functions (with F. Redig).
Journal of Statistical Physics 172(4):980-1008 (2018) (arXiv, published)
Generalized immediate exchange models and their symmetries (with F. Redig).
Stochastic Processes and their Applications 127(10):3251-3267 (2017) (arXiv, published)
Duality and Stationary Distributions of the "Immediate Exchange Model" and Its Generalizations (with B. van Ginkel & F. Redig).
Journal of Statistical Physics 163(1):92-112 (2016) (arXiv, published)

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