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Kyoto UniversityAgent
ABSTRACT. According to Sullivan’s dictionary, the Julia sets for iterations of rational mappings and the limit sets of Kleinian groups are in a close relationship. In this article, we will give a rough idea which relates these two notions more concretely. This is an announcement of $[$2 $] $ , and based on a talk given at ‘2009 Complex Dynamics conference–Integrated Research on Complex Dynamics and its Related Fields-, held at Kyoto University
. We contribute to the dictionary between action of Kleinian groups and iteration of rational functi...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
This paper is concerned with a generalisation of the classical theory of the dynamics associated to ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
ABSTRACT. The Fatou-Julia decomposition for foliation is previously introduced by Ghys, Gomez-Mont a...
It is known as a correspondence between iteration of rational maps and Kleinian groups, and is usual...
In this paper we derive a Diophantine analysis for Julia sets of parabolic rational maps. We general...
Abstract. A Fatou-Julia decomposition of transversally holomorphic fo-liations of complex codimensio...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
For any entire or rational function / in t}te complex plane define the sequence of iterates (f"...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
The Sullivan dictionary provides a beautiful correspondence between Kleinian groups acting on hyperb...
In this paper we derive a Diophantine analysis for Julia sets of parabolic rational maps. We general...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
We consider about subsemigroups of $\mathrm{E}\mathrm{n}\mathrm{d}\overline{\mathbb{C}}$. We can def...
. We contribute to the dictionary between action of Kleinian groups and iteration of rational functi...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
This paper is concerned with a generalisation of the classical theory of the dynamics associated to ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
ABSTRACT. The Fatou-Julia decomposition for foliation is previously introduced by Ghys, Gomez-Mont a...
It is known as a correspondence between iteration of rational maps and Kleinian groups, and is usual...
In this paper we derive a Diophantine analysis for Julia sets of parabolic rational maps. We general...
Abstract. A Fatou-Julia decomposition of transversally holomorphic fo-liations of complex codimensio...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
For any entire or rational function / in t}te complex plane define the sequence of iterates (f"...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
The Sullivan dictionary provides a beautiful correspondence between Kleinian groups acting on hyperb...
In this paper we derive a Diophantine analysis for Julia sets of parabolic rational maps. We general...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
We consider about subsemigroups of $\mathrm{E}\mathrm{n}\mathrm{d}\overline{\mathbb{C}}$. We can def...
. We contribute to the dictionary between action of Kleinian groups and iteration of rational functi...
The present thesis is dedicated to two topics in Dynamics of Holomorphic maps. The first topic is d...
This paper is concerned with a generalisation of the classical theory of the dynamics associated to ...
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