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
Tiny fluctuations of the averaging process around its degenerate steady state. (2024) (arXiv)
Concentration and local smoothness of the averaging process. (2023) (arXiv)
From quenched invariance principle to semigroup convergence with applications to exclusion processes (with Chiarini, A. & Floreani, S.). (2023) (arXiv)
Full Γ-expansion of reversible Markov chains level two large deviations rate functionals (with Landim, C. & Misturini, R.). (2023) (arXiv)
Fractional kinetics equation from a Markovian system of interacting Bouchaud trap models (with Chiarini, A., Floreani, S. & Redig, F.). (2023) (arXiv)
PUBLICATIONS
Spectral gap of the symmetric inclusion process (with Kim, S.).
Annals of Applied Probability (to appear) (arXiv)Scaling limits of random walks, harmonic profiles, and stationary non-equilibrium states in Lipschitz domains (with Dello Schiavo, L. & Portinale, L.).
Annals of Applied Probability 34(2):1789-1845 (2024) (arXiv, published)On the meeting of random walks on random DFA (with Quattropani, M.).
Stochastic Processes and their Applications 166:1-33 (2023) (arXiv, published)Cutoff for the averaging process on the hypercube and complete bipartite graphs (with Caputo, P. & Quattropani, M.).
Electronic Journal of Probability 28:1-31 (2023) (arXiv, published)Mixing of the averaging process and its discrete dual on finite-dimensional geometries (with Quattropani, M.).
Annals of Applied Probability 33(2):937-971 (2023) (arXiv, published)Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics (with Franceschini, C. & Gonçalves, P.).
Bernoulli 28(2):1340-1381 (2022) (arXiv, published)Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations (with Floreani, S. & Redig, F.).
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 Floreani, S. & Redig, F.).
Stochastic Processes and their Applications 142:124-158 (2021) (arXiv, published)Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems (with Chen, J. P.).
Markov Processes and Related Fields 27(3):339-380 (2021) (arXiv, published)Symmetric simple exclusion process in dynamic environment: hydrodynamics (with Redig, F. & Saada, E.).
Electronic Journal of Probability 25:1-47 (2020) (arXiv, published)Stochastic duality and eigenfunctions (with Redig, F.).
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 Redig, F.).
Journal of Statistical Physics 172(4):980-1008 (2018) (arXiv, published)Generalized immediate exchange models and their symmetries (with Redig, F.).
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 van Ginkel, B. & Redig, F.).
Journal of Statistical Physics 163(1):92-112 (2016) (arXiv, published)