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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 ... read moreUniversity, 2011.
Submitted to the Dept. of Mathematics.
Advisor: Boris Hasselblatt.
Committee: Genevieve Walsh, Zbigniew Nitecki, and Keith
Keyword: Mathematics.read less