4 papers
Centered Moments of Weighted One-Level Densities of -Functions
Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6
Katz and Sarnak conjectured that the behavior of zeros near the central point of any family of -functions is well-modeled by the behavior of eigenvalues near of some classic…
Signal recovery using Gabor frames
Ivan Bortnovskyi, June Duvivier, Xiaoyao Huang +9
We present a novel probabilistic framework for the recovery of discrete signals with missing data, extending classical Fourier-based methods. While prior results, such as those of…
Refined additive uncertainty principle
Ivan Bortnovskyi, June Duvivier, Alex Iosevich +8
Signal recovery from incomplete or partial frequency information is a fundamental problem in harmonic analysis and applied mathematics, with wide-ranging applications in communicat…
Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms
Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6
The Katz-Sarnak density conjecture states that, as the analytic conductor , the distribution of the normalized low-lying zeros (those near the central point …