45 citations · 91 across the 8 of their papers we have counts for
9 papers
convergence rates for singular stochastic wave dynamics
Nikolay Barashkov, Giacomo Di Gesù, Petri Laarne
We establish quantitative hypocoercivity for singular stochastic damped wave equations arising in stochastic quantization. Building on the finite-dimensional argument of Cao, Lu, a…
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…
Spectral Analysis of Discrete Metastable Diffusions
Giacomo Di Gesù
We consider a discrete Schrödinger operator on , where is a small par…
Sharp asymptotics of the first exit point density
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the exit event from a metastable state for the overdamped Langevin dynamics . Using tools from semiclassical analysis, we prov…
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…