Kyounghee Kim

collaborators

3 papers

math.DS2025

Real Rational Surface Automorphisms : Positivity and Linearity

Kyounghee Kim, Insung Park

We study the real dynamics of a family of rational surface automorphisms obtained from quadratic birational maps of $\pcc$ that preserve a cuspidal cubic and whose critical orbits…

math.DS2025

Mapping classes of Real Rational Surface Automorphisms

Kyounghee Kim

Let ${F_{n}, n \geq 8}$ be a family of diffeomorphisms on real rational surfaces that are birationally equivalent to birational maps on $P^{2} (R)$ . In this article, w…

math.GR2025

Salem/Pisot Numbers in the Weyl Spectrum

Kyounghee Kim

n this article, we define orbit data for birational maps of $P^{2} (C)$ and show that this data uniquely determines the dynamical degree by providing minimal polynom…