34 citations · 105 across the 45 of their papers we have counts for
5 papers · 1 filter
The Kakeya problem for codimension-two planes in
Chun-Kit Lai, Yixuan Pang, Rahul Sethi +1
We study the -plane Kakeya problem in () subject to convex Wolff axioms. In other words, we study finite families of -neighborhoods of -plan…
Weak Tiling by Unions of Non-overlapping Unit Cubes
Tianyu Chen, Shilei Fan, Mihail N. Kolountzakis +1
We study weak tiling by finite unions of pairwise non-overlapping unit cubes in that are not necessarily axis-parallel. We obtain a weak-tiling analogue of Keller's c…
A new type of deterministic Salem sets and its spectrality
Chun-Kit Lai, Ruxi Shi, Yu-Hao Xie
For all , we provide a new deterministic construction of Cantor sets whose Fourier dimension and Hausdorff dimension are both equal to . The construction is based on…
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 reciprocals of integers, and prove that they are pointwise absolutely normal. Our approa…