Unique Ergodicity of Translation Flows

Abstract

This preliminary report contains a sketch of the proof of the following result: a slowly divergent Teichmuller geodesic satisfying a certain logarithmic law is determined by a uniquely ergodic measured foliation.

10 pages, 2 figures, Proceedings of the Partially hyperbolic dynamics, laminations, and Teichmuller flow Workshop, Toronto, Jan. 5-9, 2006