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A short proof of ergodicity of Babillot-Ledrappier measures

Authors:	Rita Solomyak

Institution:	Department of Mathematics, University of Washington, Box 35450, Seattle, Washington 98195

Abstract:	Let be a compact manifold, and let ${\phi_t}$ be a transitive homologically full Anosov flow on . Let $\widetilde{M}$ be a $\mathbb{Z}^d$ -cover for , and let $\widetilde{\phi_t}$ be the lift of ${\phi_t}$ to $\widetilde{M}$ . Babillot and Ledrappier exhibited a family of measures on $\widetilde{M}$ , which are invariant and ergodic with respect to the strong stable foliation of $\widetilde{\phi_t}$ . We provide a new short proof of ergodicity.

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