Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Luo Yusheng"'
Autor:
Luo, Yusheng, Ntalampekos, Dimitrios
The object of the paper is to characterize gasket Julia sets of rational maps that can be uniformized by round gaskets. We restrict to rational maps without critical points on the Julia set. Under these conditions, we prove that a Julia set can be qu
Externí odkaz:
http://arxiv.org/abs/2411.17227
Autor:
Luo, Yusheng, Ntalampekos, Dimitrios
We study piecewise quasiconformal covering maps of the unit circle. We provide sufficient conditions so that a conjugacy between two such dynamical systems has a quasiconformal or David extension to the unit disk. Our main result generalizes the main
Externí odkaz:
http://arxiv.org/abs/2411.14203
Autor:
Luo, Yusheng, Zhang, Yongquan
We show that the diameter of the image of the skinning map on the deformation space of an acylindrical reflection group is bounded by a constant depending only on the topological complexity of the components of its boundary, answering a conjecture of
Externí odkaz:
http://arxiv.org/abs/2408.10344
In this paper, we study matings of (anti-)polynomials and Fuchsian, reflection groups as Schwarz reflections, B-involutions or as (anti-)holomorphic correspondences, as well as their parameter spaces. We prove the existence of matings of generic (ant
Externí odkaz:
http://arxiv.org/abs/2408.00204
Autor:
Luo, Yusheng, Zhang, Yongquan
This paper studies quasiconformal non-equivalence of Julia sets and limit sets. We proved that any Julia set is quasiconformally different from the Apollonian gasket. We also proved that any Julia set of a quadratic rational map is quasiconformally d
Externí odkaz:
http://arxiv.org/abs/2402.12709
Autor:
Luo, Yusheng, Zhang, Yongquan
In this paper, we use iterations of skinning maps on Teichm\"uller spaces to study circle packings. This allows us to develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinni
Externí odkaz:
http://arxiv.org/abs/2308.13151
Autor:
Luo, Yusheng, Park, Insung
This paper studies polynomials with core entropy zero. We give several characterizations of polynomials with core entropy zero. In particular, we show that a degree d post-critically finite polynomial f has core entropy zero if and only if f is in th
Externí odkaz:
http://arxiv.org/abs/2205.13704
Autor:
Wang, Yanpeng, Song, Jinyue, Fan, Hongguang, Luo, Yusheng, Song, Zhaoyang, Jin, Yongcheng, Kim, Sungsoo, Liu, Wei
Publikováno v:
In Energy Storage Materials January 2025 74
Publikováno v:
Geom. Funct. Anal., 32:1428--1485, 2022
In a previous paper, we constructed an explicit dynamical correspondence between certain Kleinian reflection groups and certain anti-holomorphic rational maps on the Riemann sphere. In this paper, we show that their deformation spaces share many stri
Externí odkaz:
http://arxiv.org/abs/2202.03550
Autor:
Luo, Yusheng
In this paper, we study quasi post-critically finite degenerations for rational maps. We construct limits for such degenerations as geometrically finite rational maps on a finite tree of Riemann spheres. We prove the boundedness for such degeneration
Externí odkaz:
http://arxiv.org/abs/2102.00357