Rigid measures on the torus.

Brown, Aaron.

2017-04-18T13:53:52.224Z

Description
  • 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.

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