DSNT Seminar: Recurrence rates for shifts of finite type
- Date
- 9 December 2022, 10:15–11:15
- Location
- Ångström Laboratory, Å64119
- Type
- Seminar
- Lecturer
- Simon Baker (Loughborough University)
- Organiser
- Matematiska institutionen
- Contact person
- Reza Mohammadpour
Welcome to this semiar held by Simon Baker (Loughborough University) with the title "Recurrence rates for shifts of finite type".
Abstract: In this talk I will discuss rates of recurrence for Bernoulli measures defined on the full shift (more generally Gibbs measures defined on shifts of finite type). Our main result establishes a new critical threshold where the measure of the set of points satisfying a recurrence rate transitions from 0 to 1. This fact is an interesting consequence of the law of the iterated logarithm. This talk is based upon a joint work with Demi Allen and Balazs Barany.
This is a seminar in our seminar series on Dynamical Systems and Number Theory (DSNT).