Kyounghee Kim

activity

20042022

most citedDynamics of Rational Surface Automorphisms: Linear Fractional Recurrences

10 citations · 51 across the 22 of their papers we have counts for

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Showing 2017 · math.DSShow all

2 papers · 2 filters

math.DS2017

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…

math.DS2017

Julia sets for polynomial diffeomorphisms of $C^{2}$ are not semianalytic

Eric Bedford, Kyounghee Kim

For any polynomial diffeomorphism $f$ of $C^{2}$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{- 1}$ is semi-analytic.

Entropy of real rational surface automorphisms

Julia sets for polynomial diffeomorphisms of C2 are not semianalytic

Julia sets for polynomial diffeomorphisms of $C^{2}$ are not semianalytic