10 citations · 51 across the 22 of their papers we have counts for
17 papers · 1 filter
The Dynamical Degrees of Rational Surface Automorphisms
Kyounghee Kim
The induced action on the Picard group of a rational surface automorphism with positive entropy can be identified with an element of the Coxeter group associated to …
Entropy of real rational surface automorphisms: Actions on the Fundamental Groups
Kyounghee Kim, Eric P. Klassen
This article discusses a method to compute the induced action on the fundamental group of a real rational surface and provides the induced actions for basic quadratic real automorp…
Entropy of real rational surface automorphisms
Jeffrey Diller, Kyounghee Kim
We compare real and complex dynamics for automorphisms of rational surfaces that are obtained by lifting \chg{some} quadratic birational maps of the plane. In particular, we show h…
Julia sets for polynomial diffeomorphisms of are not semianalytic
Eric Bedford, Kyounghee Kim
For any polynomial diffeomorphism of with positive entropy, neither the Julia set of nor of its inverse is semi-analytic.
No smooth Julia sets for polynomial diffeomorphisms of with positive entropy
Eric Bedford, Kyounghee Kim
For any polynomial diffeomorphism of with positive entropy, neither the Julia set of nor of its inverse is smooth as a manifold-with-boundary.
Pseudoautomorphisms with invariant elliptic curves
Eric Bedford, Jeffery Diller, Kyounghee Kim
We describe an explicit method for constructing pseudo-automorphisms of a space which is obtained by blowing up points of (or a product ). T…