Wencai Liu

activity

20222026

most citedNonlinear Anderson localized states at arbitrary disorder

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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 $Z^{d}$ . Specifically, we consider operators of the form $H = - Δ + V + v$ , where $Δ…

math.SP2024

Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators

Matthew Faust, Wencai Liu, Rodrigo Matos +5

Let $Γ = q_{1} Z \oplus q_{2} Z \oplus \dots \oplus q_{d} Z$ , with $q_{j} \in (Z^{+})^{d}$ for each $j \in {1, \dots, d}$ , and denote by $Δ$ the discrete Laplacian…

math-ph2022★ 2 cited

Nonlinear Anderson localized states at arbitrary disorder

Wencai Liu, W. -M. Wang

It is classical, following Furstenberg's theorem on positive Lyapunov exponent for products of random SL $(2, R)$ matrices, that the one dimensional random Schrödinger opera…