Dynamics Seminar
Alan Sola
Stockholm University
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 $\mathbb T^2$ exhibits some complexity, encoded in terms of certain one-variable polynomials.
Joint work with R. Tully-Doyle (Cal Poly).
Tuesday January 9, 2024 at 4:00 PM in 636 SEO