5 papers
Cellular Maximal-Density Factoring: Joint Shadings, Stable Refinements, and a Conditional Kakeya Application
Zhixu Hua, Xiufan Yang
Maximal-density factoring must often make one parent object carry several forms of information at once: child mass, two multiplicity levels, a density estimate, and the ability to…
Profile-Stable Buffered Multiplicity Factoring in Four Dimensions
Zhixu Hua, Xinshun Yao, Xiufan Yang
Multiplicity factoring is usually formulated for child families at comparable scales. For children of mixed geometry, thickening at the shortest parent scale produces nonuniform in…
A Periodic Long-Time Boltzmann--Grad Limit in Every Fixed Dimension
Zhixu Hua
We prove a periodic long-time Boltzmann--Grad limit for hard spheres in every fixed spatial dimension . Under the assumptions of the main theorem, the rescaled -particle…
Simple and distinct zeros in a prime-modulus Dirichlet family from near-microscopic to polylogarithmic heights
Zhixu Hua, Xiufan Yang
Fix \(η>0\) and \(A_0>0\). Let \(q\) tend to infinity through odd primes, put \(Q=\log q\), and let \(T=T(q)\) satisfy \[ \frac{(\log Q)^{1+η}}{Q}\le T\le Q^{A_0}. \] Set \(I=(T,2T…
Gevrey localization for simple and distinct zeros in a prime-modulus Dirichlet family
Zhixu Hua, Xiufan Yang
Let tend to infinity through odd primes, let , and put . Suppose that for some fixed and that \[ λ_{\rm bw}:=\min\left\{1, \liminf…