1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AG2005★ 1 cited
Invariant curves for birational surface maps
Jeffrey Diller, Daniel Jackson, Andrew Sommese
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most…
math.CV2003★ 1 cited
Energy and Invariant Measures for Birational Surface Maps
Eric Bedford, Jeffrey Diller
When a birational surface map is expanding on cohomology there is a canonical way to associate positive closed currents to the map and its inverse. In this paper we use a version o…
math.DS2003
Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift
Eric Bedford, Jeffrey Diller
We give a detailed description of the dynamics of a family of birational mappings of the plane. The organizing theme of our analysis is that this family is essentially conjugate to…