学术报告(David Aulicino 2026.1.13)
Weak Mixing of Translation Flows in Rank One Loci
发布人:姚璐
发布日期:2026-01-08
主题
Weak Mixing of Translation Flows in Rank One Loci
活动时间
-
活动地址
新数学楼416
主讲人
David Aulicino(City University of New York)
主持人
苏伟旭 教授
摘要:Translation surfaces admit natural straight-line flows in the full circle of directions. These flows exhibit a range of dynamic properties. Generically they are known to be uniquely ergodic but not mixing. Recently work of Arana-Herrera, Chaika, and Forni classified when the flow exhibits the intermediate property of weak mixing. In the present work, we restrict to a special class of translation surfaces and give an alternate proof of the result of Arana-Herrera, Chaika, and Forni, which is accomplished by proving a stronger result for this special class by extending previous work of A. Avila and V. Delecroix. All necessary background will be given. This is joint with Artur Avila and Vincent Delecroix.

