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math.SP2026
Generic Irreducibility of Bloch Varieties for Periodic Graph Operators
Matthew Faust, Wencai Liu
We give a complete characterization of generic irreducibility for dispersion polynomials and Bloch varieties of periodic graph operators. More precisely, we prove that for a generi…
math.SP2024
Sharp decay rate for eigenfunctions of perturbed periodic Schrödinger operators
Wencai Liu, Rodrigo Matos, John N. Treuer
This paper investigates uniqueness results for perturbed periodic Schrödinger operators on . Specifically, we consider operators of the form , where $Δ…
math.SP2024
Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators
Matthew Faust, Wencai Liu, Rodrigo Matos +5
Let , with for each , and denote by the discrete Laplacian…