Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Return-times and hitting-times of small sets (e-seminar)

Vortrag von Prof. Dr. Roland Zweimüller

Datum: 28.09.20  Zeit: 15.00 - 16.15  Raum: Y27H28

The asymptotic behavior of return-times and hitting-times of small sets when their size tends to zero (rare events) in ergodic dynamical systems has undergone some intense research in the past twenty years, the probabilistic laws governing their occurrence being one central aspect. I will review basic facts and present some new developments, mentioning, in particular, the use of classical abstract ergodic theory to obtain Poisson limit theorems under surprisingly soft conditions, spatiotemporal limit theorems and local limit theorems.