20 citations · 23 across the 12 of their papers we have counts for
10 papers · 1 filter
Spectrality of factors of product spectral measures
Mihail N. Kolountzakis, Chun-Kit Lai, Kailing Lai +1
We refine the method by Greenfeld and Lev for the product spectral set problem and generalize the theorem to a singular measure setting. Furthermore, we establish a new class of sp…
On Constructions of full-dimensional absolutely normal sets of uniqueness
Chun-Kit Lai, Yu-Hao Xie
We construct a class of homogeneous Cantor-Moran measures with all contraction ratios being reciprocal of integers, and prove that they are pointwise absolutely normal. Our approac…
Non-spectrality of some piecewise smooth curves and unions of line segments
Mihail N. Kolountzakis, Chun-Kit Lai
We develop a systematic study about the spectrality of measures supported on piecewise smooth curves by studying the support of the tempered distributions arising from the tiling e…
A non-sticky Kakeya set of Lebesgue measure zero
Chun-Kit Lai, Adeline E. Wong
The Kakeya set conjecture in was recently resolved by Wang and Zahl. The distinction between sticky and non-sticky Kakeya sets plays an important role in their pro…
When is the fractal uncertainty principle for discrete Cantor sets most uncertain?
Chun-Kit Lai, Ruxi Shi
We give a necessary and sufficient condition to achieve the most uncertain exponent in the fractal uncertainty principle of discrete Cantor sets. The condition will be described as…
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…