Institute of Mathematics


Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Multiple Borel Cantelli Lemma and MultiLog Law for Recurrence (e-seminar)

Talk by Prof. Dr. Dimitry Dolgopyat

Date: 16.11.20  Time: 15.00 - 16.15  Room: Y27H28

A classical Borel Cantelli Lemma gives condition for an infinitely many unlikely events to occur. A multiple Borel Cantelli Lemma asks how often we have k such events occurring at the same scale. In this talk I describe a version of multiple Borel Cantelli Lemma for smooth exponentially mixing systems and present applications to recurrence problems. The talk is based on a joint work with Bassam Fayad and Sixu Liu.