9 citations · 12 across the 4 of their papers we have counts for
7 papers
Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps
Eric Bedford, Kyounghee Kim
We consider the set of all 2-step recurrences (difference equations) that are given by linear fractional maps. These give birational maps of the plane. We determine the degree grow…
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…
On the Degree Growth of Birational Mappings in Higher Dimension
Eric Bedford, Kyounghee Kim
Let be a birational map of , and consider the degree complexity, or asymptotic degree growth rate . We introduce a fami…
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…
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…