143 citations · 356 across the 31 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2024
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…
math.PR2016★ 22 cited
Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Consider the Allen-Cahn equation on the -dimensional torus, , in the sharp interface limit. As it is well known, the limiting dynamics is described by the motion by mean…