Modul: MAT760 Ergodic theory and dynamical systems seminar

## Random intermittent dynamics

Vortrag von Dr. Charlene Kalle

Sprecher eingeladen von: Prof. Dr. Corinna Ulcigrai

**Datum:** 03.04.23 **Zeit:** 13.30 - 14.30 **Raum:** ETH HG G 43

Intermittent dynamics, where systems irregularly alternate between long periods of different types of dynamical behaviour, has been studied since the work of Pomeau and Manneville in 1980. In random dynamical systems this phenomenon has only been well understood in a few specific cases. A random dynamical system consists of a family of deterministic systems, one of which is chosen to be applied at each time step according to some probabilistic rule. In this talk we will describe the intermittency of some families of random systems with a particular emphasis on how the intermittency of the random system depends on the intermittency of the underlying deterministic systems. This talk is based on joint works with Ale Jan Homburg, Tom Kempton, Valentin Matache, Marks Ruziboev, Masato Tsujii, Evgeny Verbitskiy and Benthen Zeegers.