activity
19922015
most citedDegree Complexity of a Family of Birational Maps

7 citations · 14 across the 8 of their papers we have counts for

collaborators

8 papers

math.CV2015

Geometric proof of the -lemma

Eric Bedford, Tanya Firsova

We give a geometric approach to the proof of the -lemma. In particular, we point out the role pseudoconvexity plays in the proof.

math.DS2014

Invertible dynamics on blow-ups of P^k

Eric Bedford

We discuss automorphisms and pseudo-automorphisms on blowups of complex projective space with an eye to finding ones with interesting dynamical behavior.

math.DS2009★ 2 cited

Dynamics of Rational Surface Automorphisms: Rotation Domains

Eric Bedford, Kyounghee Kim

We consider rational surface automorphisms with positive entropy. A Fatou component is said to be a rotation domain if the automorphism induces a torus action on it. Here we constr…

math.DS2007★ 7 cited

Degree Complexity of a Family of Birational Maps

Eric Bedford, Kyounghee Kim, Truong Trung Tuyen +2

We compute the degree complexity of a family of birational mappings of the plane with high order singularities.

math.DS2006★ 4 cited

Real dynamics of a family of plane birational maps: trapping regions and entropy zero

Eric Bedford, Jeffrey Diller

Continuing work begun in a previous paper, we study the real dynamics of a family of plane birational maps. This time we consider a parameter range where the real and complex dynam…

math.DS2005

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…