3 papers
math.SP2025
Lower bounds on concentration through Borel transforms and quantitative singularity of spectral measures near the arithmetic transition
Svetlana Jitomirskaya, Wencai Liu, Serguei Tcheremchantsev
We develop tools to study arithmetically induced singular continuous spectrum in the neighborhood of the arithmetic transition in the hyperbolic regime. This leads to first transit…
math-ph2025
A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schrödinger Operators with Almost Repetition Potentials
Wencai Liu
Building on the work of Jitomirskaya-Simon and Jitomirskaya-Liu, who established the absence of eigenvalues for Schrödinger operators with almost reflective repetition potentials,…
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…