One-day Ergodic Theory Meeting
Our one-day ergodic theory meeting will take place in DAV.1.101 in the Sir David Davies Building.
14:00-15:00 Niloofar Kiamari (Loughborough)
15:00-16:00 Polina Vytnova (Warwick)
16:30-17:30 Carlangelo Liverani (Rome)
Speaker: Niloofar Kiamari
Title: Locating Ruelle-Pollicott Resonances
Abstract: In this talk, we will present some new results regarding the spectrum of transfer operators associated to different classes of dynamical systems. Our goal is to obtain precise information on the discrete spectrum. We will describe a general principle which allows us to obtain substantial spectral information. We will then consider several settings where new information can be obtained using this approach, including affine expanding Markov maps, monotone maps, hyperbolic diffeomorphisms. (Joint work with: Oliver Butterley & Carlangelo Liverani.)
Speaker: Polina Vytnova
Title: A new approach to computing Lyapunov exponents
Abstract: Last year, in a joint work with M. Pollicott we have presented a new and remarkably efficient way of computing Hausdorff dimension of certain dynamically defined Cantor sets. Recently, we have extended this method to computing Lyapunov exponents of random matrix products under contraction on average hypothesis by Le Page. In the talk I am planning to give some theoretical background and to present several examples.
Speaker: Carlangelo Liverani
Title: Hyperbolic Billiards
Abstract: The study of the statistical properties of billiards has seen a rapid evolution in the last 25 years and many new ideas have been developed to further their study. Yet, there are many interesting models (such as open systems, time varying billiards and, most of all, the Random Lorentz gas) for which the current techniques are not optimal. I will first quickly describe the current state of the art in the study of hyperbolic billiards, and then I will discuss some recent development that attempt to address the aforementioned problems (work in collaboration with Mark Demers).
Contact and booking details
- Professor Wael Bahsoun
- Telephone number
- +44 (0) 1509 222 883
- Email address
- Booking required?