10 citations · 34 across the 13 of their papers we have counts for
8 papers · 1 filter
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…
Circle packings, kissing reflection groups and critically fixed anti-rational maps
Russell Lodge, Yusheng Luo, Sabyasachi Mukherjee
In this paper, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simpl…
On hyperbolic rational maps with finitely connected Fatou sets
Yusheng Luo
In this paper, we study hyperbolic rational maps with finitely connected Fatou sets. We construct models of post-critically finite hyperbolic tree mapping schemes for such maps, ge…
Trees, length spectra for rational maps via barycentric extensions and Berkovich spaces
Yusheng Luo
In this paper, we study the dynamics of degenerating sequences of rational maps on Riemann sphere using -trees. Given a sequence of degenerating rati…
On the inhomogeneity of the Mandelbrot set
Yusheng Luo
We will show the Mandelbrot set is locally conformally inhomogeneous: the only conformal map defined in an open set intersecting and satisfying $f(U\cap\pa…