Cylinder absolute games on solenoids
主 题: Cylinder absolute games on solenoids
报告人: Dr. Lovy Singhal (BICMR)
时 间: 2018-03-15 10:00 - 2018-03-15 11:30
地 点: Room 29, QuanZhai, BICMR
In 1988, Dani showed that the set of points on the torus $\\mathbb{T}^n$ with non-dense orbits under any toral endomorphism is large in the sense of Hausdorff dimension even though it has Haar measure zero. This was achieved using the technology of Schmidt games. Using a refinement of these games, we have shown that the same is true for all finite solenoids over the unit circle. Time permitting, we will also like to discuss the issues faced when dealing with the full solenoid over $S^1$.<\/span>
