4 problems

Localization-delocalization threshold conjecture. The threshold for the localization-delocalization transition is conjectured to satisfy

Consider the random block Schrödinger operators of the source, with coupling parameter $\lambda$ and model-dependent scale $\Lambda_{\Psi}$. Critical-threshold conjecture. The crit…

Consider the random block Schrödinger operators studied in the source, with coupling parameter $\lambda$ and model-dependent scale $\Lambda_{\Psi}$. Let $\lambda_c$ denote the crit…

Let $H=-\Delta+\delta V$ be the $d$-dimensional Anderson model on $\ell^2(\mathbb{Z}^d)$, where $\Delta$ is the lattice Laplacian, $V$ is a random potential with independent identi…