Yusheng Luo

collaborators

4 papers

math.DS2026

Universality of the Basilica

Yusheng Luo, Mahan Mj, Sabyasachi Mukherjee

We establish universality of the fat Basilica Julia set $J (z^{2} - \frac{3}{4})$ in conformal dynamics in the following sense: $J (z^{2} - \frac{3}{4})$ is quasiconformally equivalent to the fat Ba…

math.DS2025

Uniform a priori bounds for neutral renormalization. Variation II: $ψ^{∙}$ -ql Siegel maps

Dzmitry Dudko, Yusheng Luo, Mikhail Lyubich

We extend uniform pseudo-Siegel bounds for neutral quadratic polynomials to $ψ^{∙}$ -quadratic-like Siegel maps. In this form, the bounds are compatible with the $ψ$ -quadratic-l…

math.DS2025

Sierpinski carpet hyperbolic components of disjoint type are bounded

Dzimitry Dudko, Yusheng Luo

We establish certain uniform a priori bounds for hyperbolic components of disjoint type. As an application, we will prove that Sierpinski carpet hyperbolic components of disjoint t…

math.DS2025

Teichmüller spaces, polynomial loci, and degeneration in spaces of algebraic correspondences

Yusheng Luo, Mahan Mj, Sabyasachi Mukherjee

We develop an analog of the notion of a character variety in the context of algebraic correspondences. It turns out that matings of certain Fuchsian groups and polynomials are cont…

Universality of the Basilica

Uniform a priori bounds for neutral renormalization. Variation II: ψ∙-ql Siegel maps

Sierpinski carpet hyperbolic components of disjoint type are bounded

Teichmüller spaces, polynomial loci, and degeneration in spaces of algebraic correspondences

Uniform a priori bounds for neutral renormalization. Variation II: $ψ^{∙}$ -ql Siegel maps