On Spatial Conditioning of the Spectrum of Discrete Random Schrödinger Operators

Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao

Consider a random Schrödinger-type operator of the form $H:=-H_X+V+\xi$ acting on a general graph $\mathcal{G}=(\mathcal{V},\mathcal{E})$, where $H_X$ is the generator of a Markov proce…