Fan Yang

activity

20162026

most citedEdge universality of separable covariance matrices

22 citations · 181 across the 28 of their papers we have counts for

collaborators

28 papers

math.NT2026

Primes with Restricted-Digit Differences

Rui Han, Yaghoub Rahimi, Fan Yang

Fix a base $b \geq 2$ and a digit set $D \subset {0, 1, \dots, b - 1}$ , and let $C_{k}$ be the set of integers in $[0, b^{k})$ whose $k$ base- $b$ digits all lie in $\mathcal…

math.CA2026

Sharp $ℓ^{p}$ -Improving Estimates for Fixed-Radius Discrete Spherical Averages

Rui Han, Fan Yang

Let $d \geq 4$ and let $R > 0$ . When $d = 4$ , assume that $R^{2} \in N ∖ 4 N$ ; when $d \geq 5$ , let $R^{2} \in N$ be arbitrary. We prove the fixed-radius estimat…

math.PR2023★ 5 cited

Pearcey universality at cusps of polygonal lozenge tiling

Jiaoyang Huang, Fan Yang, Lingfu Zhang

We study uniformly random lozenge tilings of general simply connected polygons. Under a technical assumption that is presumably generic with respect to polygon shapes, we show that…

cond-mat.mes-hall2023★ 3 cited

Euler--Chern Correspondence via Topological Superconductivity

Fan Yang, Xingyu Li, Chengshu Li

The Fermi sea topology is characterized by the Euler characteristics $χ_{F}$ . In this paper, we examine how $χ_{F}$ of the metallic state is inhereted by the topological invariant of t…

math-ph2022

Decay of multi-point correlation functions in $Z^{d}$

Rui Han, Fan Yang

We prove multi-point correlation bounds in $Z^{d}$ for arbitrary $d \geq 1$ with symmetrized distances, answering open questions proposed by Sims-Warzel \cite{SW} and Aza-Bru…

math.PR2021★ 1 cited

Limiting distribution of the sample canonical correlation coefficients of high-dimensional random vectors