34 citations · 105 across the 45 of their papers we have counts for
4 papers · 1 filter
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…
On a topological Erdős similarity problem
John Gallagher, Chun-Kit Lai, Eric Weber
A pattern is called universal in another collection of sets, when every set in the collection contains some linear and translated copy of the original pattern. Paul Erdős proposed…
Large sets avoiding affine copies of infinite sequences
Angel Cruz, Chun-Kit Lai, Malabika Pramanik
A conjecture of Erdős states that for any infinite set , there exists of positive Lebesgue measure that does not contain any nontrivi…