3 problems

Let $H(g)$ be a $\Gamma$-trimmed random Schrödinger operator on $\mathbb{Z}^d$ satisfying the Assumptions. Suppose that the complement of $\Gamma$ is a union of finite connected co…

Let ${\mathbf s}$ be a sequence and let $H_\lambda={\mathcal A}_{\mathbf s}+\lambda {\mathcal V}$ be the Anderson model on the antitree ${\mathbb A}_{\mathbf s}$, with disorder par…

Let $H_\omega$ be the two-dimensional discrete random Schrödinger operator … on $l^2(\mathbb{Z}^2)$, where the independent random variables $\omega_i$ are uniformly distributed in…