Wencai Liu

activity

20162024

most citedNonlinear Anderson localized states at arbitrary disorder

2 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2024

Quantum dynamical bounds for long-range operators with skew-shift potentials

Wencai Liu, Matthew Powell, Xueyin Wang

We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-P…

math-ph2024

Sharp palindromic criterion for semi-uniform dynamical localization

Svetlana Jitomirskaya, Wencai Liu, Lufang Mi

We develop a sharp palindromic argument for general 1D operators, that proves absence of semi-uniform localization in the regime of exponential symmetry-based resonances. This prov…

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.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…

math-ph2022

Distributions of resonances of supercritical quasi-periodic operators

Wencai Liu

We discover that the distribution of (frequency and phase) resonances plays a role in determining the spectral type of supercritical quasi-periodic Schrödinger operators. In partic…