Zobrazeno 1 - 10
of 144
pro vyhledávání: '"Luo, Yusheng"'
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
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:
Fan, Hongguang, Song, Jinyue, Wang, Yanpeng, Luo, Yusheng, Jin, Yongcheng, Liu, Shuang, Li, Qingping, Li, Tao, Shao, Chenchen, Liu, Wei
Publikováno v:
In Energy Storage Materials March 2024 67
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
Autor:
Luo, Yusheng
In this paper, we develop a theory on the degenerations of Blaschke products $\mathcal{B}_d$ to study the boundaries of hyperbolic components. We give a combinatorial classification of geometrically finite polynomials on the boundary of the main hype
Externí odkaz:
http://arxiv.org/abs/2101.07880
Publikováno v:
Forum of Mathematics, Sigma, vol. 10, e3, 2022
In this paper, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical consequences. As an application
Externí odkaz:
http://arxiv.org/abs/2007.03558