3 papers
math.CA2026
Anisotropic 2D FUP and quantum open baker's map
Long Jin, An Zhang, Hong Zhang
We prove an essential spectral gap for 2D anisotropic quantum open baker's map. This extends the 1D results of Dyatlov--Jin 2017 and the isotropic 2D results of Cohen 2025a. The ke…
math.CA2026
Quantitative FUP and spectral gap for quasi-Fuchsian group
Long Jin, An Zhang, Hong Zhang
We derive an explicit formula for the exponent in the higher-dimensional fractal uncertainty principle (FUP) established by Cohen 2023, quantifying its dependence on the poros…
math.SP2025
The Birman-Krein Trace Formula and Scattering Phase on Product space
Hong Zhang
In this paper, we study the Birman-Krein formula for the potential scattering on the product space , where is a compact Riemannian manifold possibly with…