34 citations · 105 across the 45 of their papers we have counts for
5 papers · 1 filter
Distinct dimensions for attractors of bi-Lipschitz iterated function systems
Simon Baker, Amlan Banaji, De-Jun Feng +2
In this paper, we construct an iterated function system on the line consisting of two bi-Lipschitz contractions whose attractor has distinct lower, Hausdorff, lower box, upper box,…
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…
Fourier dimension of the graph of fractional Brownian motion with
Chun-Kit Lai, Cheuk Yin Lee
We prove that the Fourier dimension of the graph of fractional Brownian motion with Hurst index greater than is almost surely 1. This extends the result of Fraser and Sahlste…
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…