Zobrazeno 1 - 10
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pro vyhledávání: '"Kim, Kyounghee"'
Autor:
Kim, Kyounghee
Let $\{F_n, n\ge 8\}$ be a family of diffeomorphisms on real rational surfaces that are birationally equivalent to birational maps on $\mathbf{P}^2(\mathbb{R})$. In this article, we investigate the mapping classes of the diffeomorphisms $F_n, n\ge 8$
Externí odkaz:
http://arxiv.org/abs/2407.15075
Autor:
Kim, Kyounghee
In this article, we define the orbit data of birational maps of $\mathbf{P}^2(\mathbb{C})$ and show that the orbit data determine the dynamical degree by providing the minimal polynomials of the dynamical degree in terms of orbit data. Using this, we
Externí odkaz:
http://arxiv.org/abs/2312.17729
Autor:
Kim, Kyounghee
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 $E_n, n\ge 10$ diagram. It follows that the set of dynamical degrees of rational surf
Externí odkaz:
http://arxiv.org/abs/2211.09662
Autor:
Kim, Kyounghee
This article concerns the realization problem of subgroups of Coxeter groups. We construct a subgroup $G$ of the Coxeter group $W_{15}$ such that $G$ is realized as automorphism groups of a rational surface $X$ and $G \cong Aut(X)^* \cong D_3 \times
Externí odkaz:
http://arxiv.org/abs/2202.12354
Autor:
Kim, Kyounghee1 (AUTHOR)
Publikováno v:
Conformal Geometry & Dynamics. 5/31/2024, Vol. 28, p62-87. 26p.
Autor:
Kim, Kyounghee, Klassen, Eric P.
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 automorphisms. Using an invariant set in the fundamental group, we introduce a
Externí odkaz:
http://arxiv.org/abs/2104.05814
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Autor:
Diller, Jeffrey, Kim, Kyounghee
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 how to exploit the existence of an invariant cubic curve to understand
Externí odkaz:
http://arxiv.org/abs/1710.07665
Autor:
Bedford, Eric, Kim, Kyounghee
For any polynomial diffeomorphism $f$ of ${\Bbb C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is semi-analytic.
Externí odkaz:
http://arxiv.org/abs/1703.04168