Rigid measures on the torus.

Brown, Aaron.

2011

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.

    Thesis (Ph.D.)--Tufts Un... read more
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