86 citations · 220 across the 25 of their papers we have counts for
33 papers
Local centralizer rigidity for a non-generic diagonal map
Zhijing Wendy Wang, Amie Wilkinson
In this paper, we prove centralizer rigidity for any non-trivial diagonal map in the compact homogeneous space SL_n\mathbb{R}/Γ, n\ge 5, under the assumption that the perturbed vol…
Marked Poincar{é} rigidity near hyperbolic metrics
Karen Butt, Alena Erchenko, Tristan Humbert +2
Let be a compact manifold without boundary equipped with a Riemannian metric of negative curvature. In this paper, we introduce the marked Poincar{é} determinant (MPD), a h…
The symmetries of affine -systems and a program for centralizer rigidity
Danijela Damjanović, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z^…
Minimality of Strong Foliations of Anosov and Partially Hyperbolic Diffeomorphisms
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We study the topological properties of expanding invariant foliations of diffeomorphisms, in the context of partially hyperbolic diffeomorphisms and laminations with -d…
Transitive centralizers and fibered partially hyperbolic systems
Danijela Damjanovic, Amie Wilkinson, Disheng Xu
We prove several rigidity results about the centralizer of a smooth diffeomorphism, concentrating on two families of examples: diffeomorphisms with transitive centralizer, and pert…
Symplectomorphisms with positive metric entropy
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We obtain a dichotomy for -generic symplectomorphisms: either all the Lyapunov exponents of almost every point vanish, or the map is partially hyperbolic and ergodic with resp…