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Pseudo-Anosov foliations on periodic surfaces
Authors:Mark Pollicott
Institution:a Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK
b School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK
Abstract:We study lifts of the stable foliation of a pseudo-Anosov diffeomorphism to abelian covers. Under certain conditions, we show that it is ergodic but not uniquely ergodic and describe the ergodic measures.
Keywords:Pseudo-Anosov diffeomorphism  Stable foliation  Ergodicity  Symbolic dynamics
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