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

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2 papers

math.PR2023★ 1 cited

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

Yi Han

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

math.PR2023

More scaling limits for 1d random Schrödinger operators with critically decaying and vanishing potentials

Yi Han

Consider the random Schrödinger operator defined on $$ (H_nψ)_\ell=ψ_{\ell-1,n}+ψ_{\ell+1,n}+σ\frac{ω_\ell}{a_{\ell,n}}ψ_{\ell,n},\quad ψ_…