Phase Transitions in Asymptotically Singular Anderson Hamiltonian and Parabolic Model

Pierre Yves Gaudreau Lamarre

Let $\xi$ be a Gaussian white noise on ${\mathbb{R}}^d$ ($d=1,2,3$). Let $({\xi }_{\epsilon }{)}_{\epsilon >0}$ be continuous Gaussian processes such that ${\xi }_{\epsilon }\to \xi$ as $\varepsilon…