45 citations · 91 across the 8 of their papers we have counts for
6 papers · 1 filter
Eyring-Kramers asymptotics for infinite-dimensional stochastic gradient systems
Morris Brooks, Giacomo Di Gesù
We study small-noise asymptotics for a class of reversible stochastic evolution equations in infinite dimensions. The dynamics are of the form \[ dX_t=-A\nabla F(X_t)\,dt+\sqrt{2β^…
Asymptotics of the measure in the sharp interface limit
Lorenzo Bertini, Paolo Buttà, Giacomo Di Gesù
We consider the measure in an interval of length , defined by a symmetric double-well potential and inverse temperature . Our results concern its asymptotic be…
Jump Markov models and transition state theory: the Quasi-Stationary Distribution approach
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We are interested in the connection between a metastable continuous state space Markov process (satisfying e.g. the Langevin or overdamped Langevin equation) and a jump Markov proc…
Full metastable asymptotic of the Fisher information
Giacomo Di Gesù, Mauro Mariani
We establish an expansion by Gamma-convergence of the Fisher information relative to the reference measure exp(-beta V), where V is a generic multiwell potential and beta goes to i…
An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two
Nils Berglund, Giacomo Di Gesù, Hendrik Weber
We study spectral Galerkin approximations of an Allen--Cahn equation over the two-dimensional torus perturbed by weak space-time white noise of strength . We in…
Small noise asymptotic of the Gallavotti-Cohen functional for diffusion processes
Lorenzo Bertini, Giacomo Di Gesù
We consider, for a diffusion process in R^n, the Gallavotti-Cohen functional, defined as the empirical power dissipated in a time interval by the non-conservative part of the drift…