199 citations · 258 across the 5 of their papers we have counts for
5 papers
The Dynamical Degrees of a Mapping
Eric Bedford
Let f be a rational mapping of a space X . The complexity of (f,X) as a dynamical system is measured by the dynamical degrees , . We give the defini…
Continuous Families of Rational Surface Automorphisms with Positive Entropy
Eric Bedford, Kyounghee Kim
We construct k-parameter families of rational surface automorphisms for any k. These are automorphisms of surfaces X, which are constructed from iterated blowups over the projectiv…
Complex Monge-Ampere of a Maximum
Eric Bedford, Sione Ma`u
We give a formula for the complex Monge-Ampere operator applied to the maximum of a finite number of functions.
Distribution of periodic points of polynomial diffeomorphisms of C^2
Eric Bedford, Mikhail Lyubich, John Smillie
This paper deals with the dynamics of a simple family of holomorphic diffeomorphisms of $\C^2$: the polynomial automorphisms. This family of maps has been studied by a number of au…
Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents
Eric Bedford, Mikhail Lyubich, John Smillie
This paper concerns the dynamics of polynomial automorphisms of . One can associate to such an automorphism two currents and the equilibrium measure $μ=μ^+\wedge…