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math.DS2011
Thermodynamics for geodesic flows of rank 1 surfaces
Keith Burns, Katrin Gelfert
We investigate the spectrum of Lyapunov exponents for the geodesic flow of a compact rank 1 surface.
math.DS2005
On the ergodicity of partially hyperbolic systems
Keith Burns, Amie Wilkinson
Pugh and Shub have conjectured that essential accessibility implies ergodicity, for a , partially hyperbolic, volume-preserving diffeomorphism. We prove this conjecture under…