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Parreau Systems and Disjointness from Strong mixing

组织者

尤瓦尔·佩雷斯 , 秦硕

演讲者

Sohail Farhangi

时间

2026年04月07日 15:15 至 16:15

地点

A3-3-301

线上

Zoom 482 240 1589 (BIMSA)

摘要

Many classical dichotomies in ergodic theory can be understood through the lens of disjointness, a notion introduced by Furstenberg in 1967. For example, every identity is disjoint from every ergodic system, every Kronecker system is disjoint from every weakly mixing system, and every zero entropy system is disjoint from every K-mixing system. Another well-studied class of systems in ergodic theory is strongly mixing systems, and in 2009, Parreau described a collection of systems that are disjoint from every strongly mixing system, which we call Parreau systems. We will define Parreau systems and discuss their disjointness properties. We will also mention how well-known classes of systems, such as Interval exchange transformations and substitution systems, are related to Parreau systems.