Ergodic Theory

University Of Notre Dame, Notre Dame IN

Investigators

Abstract

In this period, ideas and techniques from Ergodic Theory have been percolating in many areas of mathematics and of applications. This project aims to expanding these interactions and to investigating the related problems in Ergodic Theory. Of particular interest will be the horocycle flow on infinite type surfaces and the related questions in analytic number theory and on Teichmueller spaces, the noncommutative ergodic theorems in relation with geometric group theory and the ergodic theory of partially hyperbolic dynamical systems.