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
Sublinear lower bounds of eigenvalues for twisted Laplacian on compact hyperbolic surfaces
Yulin Gong, Long Jin
We investigate the asymptotic spectral distribution of the twisted Laplacian associated with a real harmonic 1-form on a compact hyperbolic surface. In particular, we establish a s…