10 citations · 18 across the 7 of their papers we have counts for
11 papers
Quasisymmetric universality, quasi-isometric classification and topological rigidity of Kleinian groups
Peter Haïssinsky, Yusheng Luo
We study the quasisymmetric classification of limit sets of Kleinian groups and obtain a characterization of those geometrically finite limit sets that are quasisymmetrically unive…
Circle packings, renormalizations and subdivision rules
Yusheng Luo, Yongquan Zhang
In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certa…
Polynomials with core entropy zero
Yusheng Luo, Insung Park
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-critical…
On Deformation Space Analogies between Kleinian Reflection Groups and Antiholomorphic Rational Maps
Russell Lodge, Yusheng Luo, Sabyasachi Mukherjee
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…
On geometrically finite degenerations II: convergence and divergence
Yusheng Luo
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 t…
On geometrically finite degenerations I: boundaries of main hyperbolic components
Yusheng Luo
In this paper, we develop a theory on the degenerations of Blaschke products to study the boundaries of hyperbolic components. We give a combinatorial classificatio…