Rigid measures on the torus.

Brown, Aaron.

Abstract: Given a measure &mu on a manifold M , we wish to characterize all smooth dynamics preserving &mu. We consider measures &mu supported on the two-torus and study the group of &mu-preserving diffeomorphisms. For &mu invariant under an Anosov diffeomorphism, we find conditions for which the group of &mu-preserving diffeomorphisms is `essentially' cyclic.

Tufts University. Department of Mathematics.
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ID: tufts:20752
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