Zobrazeno 1 - 10
of 94
pro vyhledávání: '"58F23"'
We establish Bowen's formula for the Julia set of a non-elementary, expanding, irreducible and aperiodic rational graph-directed Markov system satisfying the backward separating condition. Towards this end, we shall prove that the associated skew pro
Externí odkaz:
http://arxiv.org/abs/2403.18612
Autor:
Cheng, Tao, Jiang, Yunping
Given a sub-hyperbolic semi-rational branched covering which is not CLH-equivalent a rational map, it must have the non-empty canonical Thurston obstruction. By using this canonical Thurston obstruction, we decompose this dynamical system in this pap
Externí odkaz:
http://arxiv.org/abs/1207.1292
Autor:
Chen, Tao, Jiang, Yunping
Publikováno v:
CONFORMAL GEOMETRY AND DYNAMICS, AMS, Volume 17 (2013), 6-25
We prove that the canonical Thurston obstruction for a sub-hyperbolic semi-rational branched covering exists if the branched covering is not CLH-equivalent to a rational map.
Externí odkaz:
http://arxiv.org/abs/1101.2285
Autor:
Zhang, Gaofei, Jiang, Yunping
In 1980's, Thurston established a combinatorial characterization for post-critically finite rational maps. This criterion was then extended by Cui, Jiang, and Sullivan to sub-hyperbolic rational maps. The goal of this paper is to present a new but si
Externí odkaz:
http://arxiv.org/abs/0811.3042
Autor:
Zhang, Gaofei
We extend Thurston's combinatorial criterion for postcritically finite rational maps to a class of rational maps with bounded type Siegel disks. The combinatorial characterization of this class of Siegel rational maps plays a special role in the stud
Externí odkaz:
http://arxiv.org/abs/0811.3043
Autor:
Guedj, Vincent, Zeriahi, Ahmed
We study degenerate complex Monge-Amp\`ere equations on a compact K\"ahler manifold $(X,\omega)$. We show that the complex Monge-Amp\`ere operator $(\omega + dd^c \cdot)^n$ is well-defined on the class ${\mathcal E}(X,\omega)$ of $\omega$-plurisubhar
Externí odkaz:
http://arxiv.org/abs/math/0612630
Autor:
Jiang, Yunping
Publikováno v:
SCIENCE CHINA Mathematics, Online First June 25, 2020
Geometric models and Teichm\"uller structures have been introduced for the space of smooth expanding circle endomorphisms and for the space of uniformly symmetric circle endomorphisms. The latter one is the completion of the previous one under the Te
Externí odkaz:
http://arxiv.org/abs/math/0612578
Autor:
Glutsyuk, Alexey
In 1985 D.Sullivan had introduced a dictionary between two domains of complex dynamics: iterations of rational functions on the Riemann sphere and Kleinian groups. The latters are discrete subgroups of the group of conformal automorphisms of the Riem
Externí odkaz:
http://arxiv.org/abs/math/0605644
Autor:
Nguyen, Viet-Anh
We first introduce the class of quasi-algebraically stable meromorphic maps of $\P^k.$ This class is strictly larger than that of algebraically stable meromorphic self-maps of $\P^k.$ Then we prove that all maps in the new class enjoy a recurrent pro
Externí odkaz:
http://arxiv.org/abs/math/0603545
Autor:
Kawaguchi, Shu
We show the existence of canonical heights of subvarieties for bounded sequences of morphisms and give some applications.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/math/0510633