Pubblications

Pietro Caputo, Daniel Parisi, Block factorization of the relative entropy via spatial mixing., arXiv:2004.10574, submitted

A. Faggionato, Miller-Abrahams random resistor network, Mott random walk and 2-scale homogenization, Preprint arxiv.2002.03441

Raphael Cerf, Paolo Dai Pra, Marco Formentin, Daniele Tovazzi, Rhythmic behavior of an Ising Model with dissipation at low temperature, arXiv:2002.08244

Bianchi, Alessandra; Lenci, Marco; Pène, Françoise, Continuous-time random walk between Lévy-spaced targets in the real line, Stochastic Process. Appl. 130 (2020), no. 2, 708–732

N. Cancrini, G. Posta, Propagation of chaos for a balls into bins model, ECP Vol. 24, no. 1 (2019) 1-9.

Manzo, F.; Scoppola, E., Exact results on the first hitting via conditional strong quasi-stationary times and applications to metastability., J. Stat. Phys. 174 (2019), no. 6, 1239–1262.

Andreis, Luisa; Asselah, Amine; Dai Pra, Paolo, Ergodicity of a system of interacting random walks with asymmetric interaction, Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019), no. 1, 590–606.

Crimaldi, Irene; Dai Pra, Paolo; Louis, Pierre-Yves; Minelli, Ida G., Synchronization and functional central limit theorems for interacting reinforced random walks, Stochastic Process. Appl. 129 (2019), no. 1, 70–101.

Dai Pra, Paolo; Tovazzi, Daniele, The dynamics of critical fluctuations in asymmetric Curie-Weiss models, Stochastic Process. Appl. 129 (2019), no. 3, 1060–1095.

Cecchin, Alekos; Dai Pra, Paolo; Fischer, Markus; Pelino, Guglielmo, On the convergence problem in mean field games: a two state model without uniqueness, SIAM J. Control Optim. 57 (2019), no. 4, 2443–2466.

Dai Pra, Paolo; Sartori, Elena; Tolotti, Marco, Climb on the bandwagon: consensus and periodicity in a lifetime utility model with strategic interactions, Dyn. Games Appl. 9 (2019), no. 4, 1061–1075

Paolo Dai Pra, Marco Formentin, Guglielmo Pelino, A hierarchical mean field model of interacting spins, arXiv:1910.13469

Paolo Dai Pra, Marco Formentin, Guglielmo Pelino, Oscillatory behavior in a model of non-Markovian mean field interacting spins, arXiv:1911.05373

Bardi, Martino; Fischer, Markus, On non-uniqueness and uniqueness of solutions in finite-horizon mean field games, ESAIM Control Optim. Calc. Var. 25 (2019), Art. 44, 33 pp.

Bosi, G.; Campanino, M., Random walk on a randomly oriented honeycomb lattice, Markov Process. Related Fields 25 (2019), no. 1, 75–99

Cecchin, Alekos; Pelino, Guglielmo, Convergence, fluctuations and large deviations for finite state mean field games via the master equation, Stochastic Process. Appl. 129 (2019), no. 11, 4510–4555

L. Bertini, P. Buttà, A. Pisante, On large deviations of interface motions for statistical mechanics models, Ann. Henri Poincaré 20, 1785–1821 (2019)

N. Cancrini, G. Posta , Propagation of chaos for a General Balls into Bins dynamics, Preprint arXiv:1906.03876

N. Cancrini, G. Posta , Propagation of chaos for a General Balls into Bins dynamics, Preprint arXiv:1906.03876

A. Faggionato, M. Salvi, Regularity of biased 1D random walks in random environment, ALEA, Lat. Am. J. Probab. Math. Stat. 16, 1213-1248 (2019)

A.C. Barato, R. Chetrite, A. Faggionato, D. Gabrielli, A unifying picture of generalized thermodynamic uncertainty relations, J. Stat. Mech. 084017 (2019)

A. Faggionato, H.A. Mimun,  Connection probabilities in the Poisson Miller–-Abrahams random resistor network and other Poisson random graphs with bounded edges, ALEA, Lat. Am. J. Probab. Math. Stat. 16, 463-486 (2019)

A. Faggionato, N. Gantert, M. Salvi, Einstein relation and linear response in one-dimensional Mott variable-range hopping, Ann. Inst. H. Poincaré Probab. Statist. 55, 1477-1508 (2019)

A. Faggionato, H.A. Mimun, Left-right crossings in the Miller-Abrahams random resistor network on a Poisson point process, Preprint arXiv:1912.07482

A. Faggionato, Stochastic homogenization in amorphous media and applications to exclusion processes, Preprint arXiv:1903.07311

Charles Bordenave, Pietro Caputo, Justin Salez, Cutoff at the 'entropic time' for sparse Markov chains, Probability Theory and Related Fields 173, 2019

Pietro Caputo, Dima Ioffe, Vitali Wachtel, Tightness and line ensembles for Brownian Polymers under Geometric Area Tilts, submitted, arXiv:1906.06533

F. Martinelli, C. Toninelli, Towards a universality picture for the relaxation to equilibrium of kinetically constrained models, Annals of Probability

Fabio Martinelli, Shirshendu Ganguly, Upper triangular matrix walk: Cutoff for finitely many columns,, RANDOM STRUCTURES & ALGORITHMS

F. Martinelli, R. Morris, C. Toninelli, Universality Results for Kinetically Constrained Spin Models in Two Dimensions, Comm. Math. Phys.

L. Marˆech ́e, F. Martinelli, C. Toninelli, Exact asymptotics for Duarte and supercritical rooted kinetically constrained models, Annals of Probability (to appear)

F. MARTINELLI, A. SHAPIRA, C. TONINELLI, Diffusive scaling of the Kob-Andersen model in d-dimension, Ann. H. Poincare' (to appear)

Pietro Caputo, Matteo Quattropani, Mixing time of PageRank surfers on sparse random digraphs, submitted, arXiv:1905.04993

Pietro Caputo, Cyril Labbe', Hubert Lacoin, Mixing time of the adjacent walk on the simplex, submitted, arXiv:1904.01088

L. Bertini, G. Posta, Boundary driven Brownian gas, ALEA, Lat. Am. J. Probab. Math. Stat. 16, 361-388 (2019)

I. Hartarski, F. Martinelli, C. Toninelli, UNIVERSALITY FOR CRITICAL KCM: FINITE NUMBER OF STABLE DIRECTIONS<, preprint

Apollonio, Valentina; D'Autilia, Roberto; Scoppola, Benedetto; Scoppola, Elisabetta; Troiani, Alessio, Criticality of measures on 2-d ising configurations: from square to hexagonal graphs, J.Stat.Phys. 177 (2019), no 5, 1009-1021

F. Caravenna, R. Sun, N. Zygouras, The Dickman subordinator, renewal theorems, and disordered systems, Electron. J. Probab. 24 (2019), paper no. 101, 40 pp.

Pietro Caputo, Matteo Quattropani, Stationary distribution and cover time of sparse directed configuration models, arXiv:1909.05752

F. Caravenna and R. Doney, Local large deviations and the strong renewal theorem, Electron. J. Probab. 24 (2019), paper no. 72, 1-48

F. Caravenna, R. Sun, N. Zygouras, On the moments of the (2+1)-dimensional directed polymer and stochastic heat equation in the critical window, Commun. Math. Phys. 372 (2019), 385-440.

F. Caravenna, A. Garavaglia, R. van der Hofstad, Diameter in ultra-small scale-free random graphs, Random Structures Algorithms 54 (2019), 444-498

Pietro Caputo, Matteo Quattropani, Mixing time trichotomy in regenerating dynamic digraphs , arXiv:1911.07025

M. Fornasier, S. Lisini, C. Orrieri, G. Savaré, Mean-field optimal control as Gamma-limit of finite agent controls, Journal of Functional Analysis. To appear. Published online 

L. Bertini, R. Chetrite, A. Faggionato, D. Gabrielli, Level 2.5 large deviations for continuous time Markov chains with time periodic rates, Ann. Henri Poincaré 19, 3197–3238 (2018)

Procacci, Aldo; Scoppola, Benedetto; Scoppola, Elisabetta, Effects of boundary conditions on irreversible dynamics, Ann. Henri Poincaré 19 (2018), no. 2, 443–462.

Andreis, Luisa; Dai Pra, Paolo; Fischer, Markus, McKean-Vlasov limit for interacting systems with simultaneous jumps, Stoch. Anal. Appl. 36 (2018), no. 6, 960–995.

Charles Bordenave, Pietro Caputo, Justin Salez,

1. Random walk on sparse random digraphs.

, Probability Theory and Related Fields 170 6, 933-960, 2018

C. Orrieri,  Large deviations for interacting particle systems: joint mean-field and small-noise limit, Preprint arXiv:1810.12636

C.Orrieri, A. Porretta, G. Savaré, A variational approach to the mean field planning problem, Journal of Functional Analysis. Published online

Pietro Caputo, Dima Ioffe, Vitali Wachtel, Confinement of Brownian Polymers under Geometric Area Tilts , Electronic Journal of Probability 24, 2018

F. Caravenna, R. Sun, N. Zygouras, The two-dimensional KPZ equation in the entire subcritical regime, Ann. Probab. (to appear), arXiv:1812.03911

Campi, Luciano; Fischer, Markus, N-player games and mean-field games with absorption, Ann. Appl. Probab. 28 (2018), no. 4, 2188–2242

Charles Bordenave, Pietro Caputo, Djalil Chafai, Konstantin Tikhomirov,

1. On the spectral radius of a random matrix: an upper bound without fourth moment

, Annals of Probability 46 , 2018

F. Caravenna, On the maximum of conditioned random walks and tightness for pinning models, Electron. Commun. Probab. 23 (2018), paper n. 69, 13 pp.

Pietro Caputo, Alistair Sinclair, Entropy production in nonlinear recombination models, Bernoulli Journal 24, 3246-3282, 2018

P. Chleboun, A. Faggionato, F. Martinelli, C. Toninelli, Mixing Length Scales of Low Temperature Spin Plaquettes Models , Journal of Statistical Physics

G. Dhariwal, M. Mariani, Z. Brzezniak, 2D Constrained Navier-Stokes Equations, J. Diff. Equations. In stampa

G. Di Gesù, M. Mariani, Full metastable asymptotic of the Fisher information, SIAM Journal on Mathematical Analysis (SIMA) - In stampa

Charles Bordenave, Pietro Caputo and Djalil Chafai, Daniele Piras, Spectrum of large random Markov chains: Heavy-tailed weights on the oriented complete graph, Random Matrices Theory Appl. 6 , no. 2, 2017

P. Caputo, F. Martinelli, F.L.Toninelli, Entropic repulsion in | ∇𝜑|^p surfaces: a large deviation bound for all p ≥ 1, Bollettino dell'Unione Matematica Italiana, vol. 10, num. 3, pp. 451--466

G. Basile, D. Benedetto, L. Bertini, A gradient flow approach to linear Boltzmann equations, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. To appear

L. Bertini, P. Buttà, A. Pisante, Stochastic Allen-Cahn equation with mobility, NoDEA Nonlinear Differential Equations Appl. 24, 54 (2017)

Antonio Blanca, Pietro Caputo, Alistair Sinclair, Eric Vigoda,, Spatial mixing and non-local Markov chains, Random Structures & Algorithms (Conference version appears in SODA 2017)

Fischer, Markus, On the connection between symmetric N-player games and mean field games, Ann. Appl. Probab. 27 (2017), no. 2, 757–810

Bianchi, Alessandra; Dommers, Sander; Giardinà, Cristian, Metastability in the reversible inclusion process, Electron. J. Probab. 22 (2017), Paper No. 70, 34 pp.

P. Chleboun, A. Faggionato, F. Martinelli, Relaxation to equilibrium of generalized East processes on Z^d: Renormalization group analysis and energy-entropy competition, Ann. of Probability

A. Sly, F. Martinelli, E. Lubetzky, Harmonic Pinnacles in the Discrete Gaussian Model, Comm. Math. Phys