Li-Xiang An

activity

20192022

most citedArbitrarily sparse spectra for self-affine spectral measures

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2022★ 1 cited

Classification of spectral self-similar measures with four-digit elements

Li-Xiang An, Xinggang He, Chun-Kit Lai

Let $μ$ be a self-similar measure generated by iterated function system of four maps of equal contraction ratio $0 < ρ < 1$ . We study when $μ$ is a spectral measure which means that it…

math.FA2020★ 1 cited

Arbitrarily sparse spectra for self-affine spectral measures

Li-Xiang An, Chun-Kit Lai

Given an expansive matrix $R \in M_{d} (Z)$ and a finite set of digit $B$ taken from $Z^{d} / R (Z^{d})$ . It was shown previously that if we can find an $L$ suc…

math.CA2019

On Spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem

Li-Xiang An, Xiaoye Fu, Chun-Kit Lai

In this paper, we show that if we have a sequence of Hadamard triples ${(N_{n}, B_{n}, L_{n})}$ with $B_{n} \subset {0, 1, .., N_{n} - 1}$ for $n = 1, 2, ...$ , except an extreme case, then the assoc…