Zobrazeno 1 - 10
of 1 008
pro vyhledávání: '"Leung, Wing P."'
Autor:
Aggarwal, Keshav, Kumar, Sumit, Kwan, Chung-Hang, Leung, Wing Hong, Li, Junxian, Young, Matthew P.
Let $f$ be a newform of prime level $p$ with any central character $\chi\, (\bmod\, p)$, and let $g$ be a fixed cusp form or Eisenstein series for $\hbox{SL}_{2}(\mathbb{Z})$. We prove the subconvexity bound: for any $\varepsilon>0$, \begin{align*} L
Externí odkaz:
http://arxiv.org/abs/2412.12410
Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To address this issue, a partially explicit temporal splitting scheme is propo
Externí odkaz:
http://arxiv.org/abs/2411.09244
Autor:
Kwan, Chung-Hang, Leung, Wing Hong
In this article, we provide a "beyond-endoscopic" treatment of the functional equations for standard $L$-functions, building on ideas and techniques from Venkatesh's thesis and "spectral reciprocity".
Externí odkaz:
http://arxiv.org/abs/2410.16921
Autor:
Kwan, Chung-Hang, Leung, Wing Hong
In this article, we examine the role of the recent banner of Spectral Reciprocity within the Langlands Beyond Endoscopy and Braverman-Kazhdan programmes. We present a novel four-variable character sum identity, which serves as a pivotal arithmetic in
Externí odkaz:
http://arxiv.org/abs/2410.11193
In this paper, we propose multicontinuum splitting schemes for multiscale problems, focusing on a parabolic equation with a high-contrast coefficient. Using the framework of multicontinuum homogenization, we introduce spatially smooth macroscopic var
Externí odkaz:
http://arxiv.org/abs/2410.05253
We obtain a strong bound on the second moment of the $GL_3$ standard $L$-function on the critical line. The method builds on the recent work of Aggarwal, Leung, and Munshi which treated shorter intervals. We deduce some corollaries including an impro
Externí odkaz:
http://arxiv.org/abs/2407.06962
Automatic speech recognition (ASR) research has achieved impressive performance in recent years and has significant potential for enabling access for people with dysarthria (PwD) in augmentative and alternative communication (AAC) and home environmen
Externí odkaz:
http://arxiv.org/abs/2406.08568
In this paper, we develop a general framework for multicontinuum homogenization in perforated domains. The simulations of problems in perforated domains are expensive and, in many applications, coarse-grid macroscopic models are developed. Many previ
Externí odkaz:
http://arxiv.org/abs/2404.17471
Autor:
Wang, Yating, Leung, Wing Tat
In this work, we present an efficient approach to solve nonlinear high-contrast multiscale diffusion problems. We incorporate the explicit-implicit-null (EIN) method to separate the nonlinear term into a linear term and a damping term, and then utili
Externí odkaz:
http://arxiv.org/abs/2403.14220
Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the original system on the coarse grid to speed up the simulation. However, th
Externí odkaz:
http://arxiv.org/abs/2403.14084