Universal edge scaling limit of discrete 1d random Schrödinger operator with vanishing potentials

Yi Han

Consider random Schrödinger operators $H_n$ defined on $[0,n]\cap \mathbb{Z}$ with zero boundary conditions: $$ (H_nψ)_\ell=ψ_{\ell-1}+ψ_{\ell+1}+σ\frac{\mathfrak{a}(\ell)}{n^α}ψ_{\…