1 citations · 3 across the 5 of their papers we have counts for
6 papers
Translational self-affine tiles in
Li-Xiang An, Ting-Ting He
Two basic problems in the theory of integral self-affine tiles are to characterize the digit sets that generate translational tiles and to understand whether such tiles admit perio…
Characterization on spectra of self-similar measures and the dual spectral set conjecture
Li-Xiang An, Yan-Song Fu, Ming-Xuan Jiang
A discrete set is called a {\it spectrum} of a Borel probability measure if the exponential functions form an orthonormal basis for $…
Classification of spectral self-similar measures with four-digit elements
Li-Xiang An, Xinggang He, Chun-Kit Lai
Let be a self-similar measure generated by iterated function system of four maps of equal contraction ratio . We study when is a spectral measure which means that it…
Product-form Hadamard triples and its spectral self-similar measures
Li-Xiang An, Chun-Kit Lai
In a previous work by Łaba and Wang, it was proved that whenever there is a Hadamard triple , then the associated one-dimensional self-similar measur…
Arbitrarily sparse spectra for self-affine spectral measures
Li-Xiang An, Chun-Kit Lai
Given an expansive matrix and a finite set of digit taken from . It was shown previously that if we can find an suc…
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 with for , except an extreme case, then the assoc…