Volume Entropy for Flat Surfaces

Explore the concept of volume entropy in the context of flat surfaces in this 56-minute lecture by Mark Pollicott from the University of Warwick. Delve into the significance of volume entropy for studying surfaces of negative curvature and its relationship to the topological entropy of geodesic flow. Learn about the application of this concept to flat surfaces, also known as translation surfaces. Examine the minimum value of entropy on SL(2,R)-orbits for specific cases, drawing from joint research with Paul Colognese. Gain insights into this advanced topic in dynamics as part of the Simons Semester on Dynamics series.

Mark Pollicott (Univrsity of Warwick)