670 citations · 3k across the 56 of their papers we have counts for
58 papers
Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schrödinger problem
L. Bertini, D. Gabrielli, R. Chetrite +1
We formulate the Schrödinger problem for interacting particle systems in the hydrodynamical regime thus extending the standard setting of independent particles. This involves the l…
Large deviations for diffusions: Donsker-Varadhan meet Freidlin-Wentzell
Lorenzo Bertini, Davide Gabrielli, Claudio Landim
We consider a diffusion process on and prove a large deviation principle for the empirical process in the joint limit in which the time window diverges and the noise…
Metastable -expansion of finite state Markov chains level two large deviations rate functions
L. Bertini, D. Gabrielli, C. Landim
We examine two analytical characterisation of the metastable behavior of a Markov chain. The first one expressed in terms of its transition probabilities, and the second one in ter…
Trace distance ergodicity for quantum Markov semigroups
Lorenzo Bertini, Alberto De Sole, Gustavo Posta
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral de…
Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equation
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
Weak solutions to the homogeneous Boltzmann equation with increasing energy have been constructed by Lu and Wennberg. We consider an underlying microscopic stochastic model with bi…
Large deviations for a binary collision model: energy evaporation
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses…