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math.DS2010
Rigidity of measures on the torus: smooth stabilizers and entropy
Aaron W. Brown
For a nonlinear Anosov diffeomorphism of the 2-torus, we present examples of measures so that the group of -preserving diffeomorphisms is, up to zero-entropy transformations, cy…
math.DS2010
Nonexpanding Attractors: Conjugacy to Algebraic Models and Classification in 3-Manifolds
Aaron W. Brown
We prove a result motivated by Williams's classification of expanding attractors and the Franks-Newhouse Theorem on codimension-1 Anosov diffeomorphisms: If a mixing hyperbolic att…