Giacomo Di Gesù

collaborators

2 papers

math.AP2019

The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points

Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1

We consider the first exit point distribution from a bounded domain $Ω$ of the stochastic process $(X_{t})_{t \geq 0}$ solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…

math.SP2015

Small noise spectral gap asymptotics for a large system of nonlinear diffusions

Giacomo Di Gesù, Dorian Le Peutrec

We study the $L^{2}$ spectral gap of a large system of strongly coupled diffusions on unbounded state space and subject to a double-well potential. This system can be seen as a spati…