Dynamics and Volume Entropy of surfaces

Lead Research Organisation: University of Warwick
Department Name: Mathematics

Abstract

This is in the general areas of Dynamical Systems, Ergodic Theory, and Geometry and Topology. The plan is to study the volume entropy, i.e., the rate of growth of length of circles or volume of disks on the universal covrer and explore its properties (regularity, critical points, etc.) There is scope for proving new rigidity theorems and constructing Weil-Petersson type metrics on the moduli space.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509796/1 01/10/2016 30/09/2021
2027709 Studentship EP/N509796/1 02/10/2017 30/09/2021 Paul Colognese