Wencai Liu

activity

20132026

most citedArithmetic Spectral Transitions for the Maryland Model

36 citations · 389 across the 48 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.SP2023★ 1 cited

Proof of geometric Borg's Theorem in arbitrary dimensions

Wencai Liu

Let $Δ + V$ be the discrete Schrödinger operator, where $Δ$ is the discrete Laplacian on $Z^{d}$ and potential $V : Z^{d} \to C$ is $Γ$ -periodic with $Γ=q_1\mathb…

math.SP2023★ 1 cited

Algebraic Properties of the Fermi Variety for Periodic Graph Operators

Jake Fillman, Wencai Liu, Rodrigo Matos

We present a method to estimate the number of irreducible components of the Fermi varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our main t…

math.SP2023

Floquet isospectrality for periodic graph operators

Wencai Liu

Let $Γ = q_{1} Z \oplus q_{2} Z \oplus \dots \oplus q_{d} Z$ with arbitrary positive integers $q_{l}$ , $l = 1, 2, \dots, d$ . Let $Δ_{discrete} + V$ be the discrete Schröd…