9 citations · 11 across the 3 of their papers we have counts for
5 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…
Dynamics of a two parameter family of plane birational maps: maximal entropy
Eric Bedford, Jeffrey Diller
We consider the real dynamics of a two parameter family of plane birational maps, focusing especially on an open subset of parameter space on which the real and complex dynamics ar…
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…