A Smale-Williams solenoid attractor. (photo credit)
The Dynamical Systems Seminar features research lectures by local, national, and international speakers and includes a broad array of topics of interest in pure and applied dynamics. The seminar currently meets on selected Fridays from 10:00-11:00.
Patrick De Leenheer, Clayton Petsche, and Swati Patel
Selected Fridays 10:00-11:00 am
Speaker: Thomas Schmidt
Abstract: In a series of papers with Calta and Kraaikamp, we associate to each of an infinite number of hyperbolic triangles a one-parameter family of interval maps. We prove that the measure theoretic entropy value is continuous along each one-parameter family. We conjecture that the "first expansive power" of each of the maps arises as a factor of a section to the geodesic flow on the unit tangent space of the corresponding hyperbolic surface. In the talk, I will indicate the history of such… Read more.