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math.CA2023
Erdős similarity problem via bi-Lipschitz embedding
De-jun Feng, Chun-Kit Lai, Ying Xiong
The Erdős similarity conjecture asserted that an infinite set of real numbers cannot be affinely embedded into every measurable set of positive Lebesgue measure. The problem is sti…
math.FA2023
Riesz bases of exponentials for multi-tiling measures
Chun-Kit Lai, Alexander Sheynis
Let be a closed subgroup of and let be a Borel probability measure admitting a Riesz basis of exponentials with frequency sets in the dual group …