2 papers
math.DS2024
BCZ map is weakly mixing
Yitwah Cheung, Anthony Quas
The BCZ map was introduced in 2001 by Boca, Cobeli and Zaharescu as a tool to study the statistical properties of Farey sequences, whose relation to Riemann Hypothesis dates back t…
math.DS2004
Hausdorff dimension of the set of nonergodic directions (with an appendix by M. Boshernitzan)
Yitwah Cheung
It is known that nonergodic directions in a rational billiard form a subset of the unit circle with Hausdorff dimension at most 1/2. Explicit examples realizing the dimension 1/2 a…