The Dynamical Systems group at the Open University is organising an online seminar series.
Our group's interests include -but are not restricted to: Aperiodic Order, Computer-assisted proofs in dynamical systems, Energy systems modelling, Holomorphic Dynamics, Hyperbolic Geometry and Cocycle Dynamics, Renormalisation in dynamical systems and its applications, Symbolic Dynamics, Tiling Dynamical Systems, and Topological Dynamics.
Wednesday 11 February 2.00pm (online)
Speaker: Alan Sola, Stockholm University
Title: Dynamics of rational inner skew-products: the case of Möbius fiber maps
Abstract: We study a particular class of rational functions on the unit bidisk, called rational inner functions of bidegree (n,1), and the iteration theory on the 2-torus of skew-products of such maps.
In the simple case discussed in this talk each fiber map is trivial or an easily understood Möbius transformation, but the global dynamics on T^2 exhibits some complexity, encoded in the zeros of certain one-variable polynomials.
Joint work with R. Tully-Doyle (Cal Poly).
The OU dynamics group consists of the following members:
Eleni Betsakou
Assheton Don
Vasiliki Evdoridou
Benjamin Handsaker-Whetton
Matthew Jacques
Gandhar Joshi
Isabella Lewis
Chris Lynch
Ben Mestel
Andrew Mitchell
Farhana Pramy
Phil Rippon
Dan Rust
Ian Short
Gwyneth Stallard
Margaret Stanier
Roger Thompson