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 2021Show all

4 papers · 1 filter

math-ph2021★ 15 cited

Topics on Fermi varieties of discrete periodic Schrödinger operators

Wencai Liu

This is a survey of recent progress on the irreducibility of Fermi varieties, rigidity results and embedded eigenvalue problems of discrete periodic Schrödinger operators.

math-ph2021★ 19 cited

Irreducibility of the Bloch Variety for Finite-Range Schrödinger Operators

Jake Fillman, Wencai Liu, Rodrigo Matos

We study the Bloch variety of discrete Schrödinger operators associated with a complex periodic potential and a general finite-range interaction, showing that the Bloch variety is…

math-ph2021★ 4 cited

Fermi isospectrality for discrete periodic Schrodinger operators

Wencai Liu

Let $Γ = q_{1} Z \oplus q_{2} Z \oplus \dots \oplus q_{d} Z$ , where $q_{l} \in Z_{+}$ , $l = 1, 2, \dots, d$ . Let $Δ + V$ be the discrete Schrödinger operator, where $Δ$ …

math-ph2021★ 10 cited

Upper bounds on transport exponents for long range operators

Svetlana Jitomirskaya, Wencai Liu

We present a simple method, not based on the transfer matrices, to prove vanishing of dynamical transport exponents. The method is applied to long range quasiperiodic operators.