9 citations · 10 across the 3 of their papers we have counts for
5 papers
The Henon Family: The Complex Horseshoe Locus and Real Parameter Space
Eric Bedford, John Smillie
We consider the complexification of the Henon family of quadratic diffeomorphisms of the plane, and the region of parameter space corresponding to complex horseshoes. We discuss so…
Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian
Eric Bedford, John Smillie
This paper concerns the Henon family of diffeomorphisms of the plane for which the absolute value of the jacobian parameter is bounded by .08. We describe the parameter locus for w…
Dynamics in two complex dimensions
John Smillie
We describe results on the dynamics of polynomial diffeomorphisms of and draw connections with the dynamics of polynomial maps of and the dynamics of polynomi…
Real Polynomial Diffeomorphisms with Maximal Entropy: Tangencies
Eric Bedford, John Smillie
In this paper we use complex techniques to study the structure of real Henon diffeomorphisms of maximal topological entropy.
Polynomial Diffeomorphisms of $\C^2$. VIII: Quasi-Expansion
Eric Bedford, John Smillie
This paper continues our investigation of the dynamics of polynomial diffeomorphisms of C^2. We introduce a dynamical property of polynomial diffeomorphisms that generalizes hyperb…