Asymptotics of the $\ddot{I}{•}_1^4$ measure in the sharp interface limit

Lorenzo Bertini, Paolo ButtÃ, Giacomo Di Gesù

We consider the $\ddot{I}{•}_1^4$ measure in an interval of length $\ell$, defined by a symmetric double-well potential $W$ and inverse temperature ${\hat{I}}^2$. Our results concern its asymptotic…