10 citations · 74 across the 25 of their papers we have counts for
25 papers
Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2
Eric Bedford, Romain Dujardin
We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of C^2. Along the way we also show that a sufficient condition…
Julia sets for polynomial diffeomorphisms of are not semianalytic
Eric Bedford, Kyounghee Kim
For any polynomial diffeomorphism of with positive entropy, neither the Julia set of nor of its inverse is semi-analytic.
Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of
Eric Bedford, Lorenzo Guerini, John Smillie
We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and uns…
No smooth Julia sets for polynomial diffeomorphisms of with positive entropy
Eric Bedford, Kyounghee Kim
For any polynomial diffeomorphism of with positive entropy, neither the Julia set of nor of its inverse is smooth as a manifold-with-boundary.
Dynamics of Polynomial Diffeomorphisms of : Foliations and laminations
Eric Bedford
This essay summarizes the state of the art on some aspects of the dynamics of polynomial diffeomorphsms in complex dimension two, and it presents a number of open questions.
A Symbolic Characterization of the Horseshoe Locus in the Hénon Family
Eric Bedford, John Smillie
We consider the family of quadratic Hénon diffeomorphisms of the plane . A map will be said to be a "horseshoe" if its restriction to the nonwandering set is hyperbolic…