DSNT Seminar: Recurrence and ergodicity of stationary walks over rotations
- Date
- 10 November 2023, 10:15–11:15
- Location
- Ångström Laboratory, , Å64119
- Type
- Seminar
- Lecturer
- Jean-Pierre Conze (University of Rennes)
- Organiser
- Matematiska institutionen
- Contact person
- Reza Mohammadpour
Jean-Pierre Conze from University of Rennes holds this seminar with the title "Recurrence and ergodicity of stationary walks over rotations". Welcome to join!
Abstract: First we describe examples of dynamical systems with an infinite invariant measure obtained as extensions (skew products) of a given dynamical system by a "cocycle''. This raises two questions: recurrence of the corresponding "stationary'' random walk and ergodicity of the skew product.
Then we will focus on the case where the dynamical system in the basis is a rotation.
The ergodicity of the extension is related to Diophantine conditions on the rotation.
We will present in particular recent results for extensions of a 2-dimensional rotation on the torus, a joint work with Nicolas Chevallier (University of Mulhouse).
This is a seminar in our seminar series on Dynamical Systems and Number Theory (DSNT).