Mikhail Lyubich

activity

20142026

most citedDavid extension of circle homeomorphisms, welding, mating, and removability

3 citations · 6 across the 8 of their papers we have counts for

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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

Antiholomorphic correspondences and mating II: Shabat polynomial slices

Mikhail Lyubich, Jacob Mazor, Sabyasachi Mukherjee

We study natural one-parameter families of antiholomorphic correspondences arising from Shabat polynomials, indexed by rooted dessins d'enfants. The actions of our correspondences…

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

Antiholomorphic correspondences and mating II: Shabat polynomial slices

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