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math.DS2008★ 38 cited
The cohomological equation for partially hyperbolic diffeomorphisms
Amie Wilkinson
We establish a theory for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism. As a by-product of our te…
math.DS2008
The C1 generic diffeomorphism has trivial centralizer
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson
Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.
math.DS2008
Smooth ergodic theory
Amie Wilkinson
This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.