Dzmitry Dudko

activity

20102026

most citedCore entropy of quadratic polymonials

10 citations · 25 across the 14 of their papers we have counts for

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math.DS2025

On the MLC Conjecture and the Renormalization Theory in Complex Dynamics

Dzmitry Dudko

In this Note, we present recent developments in the Renormalization Theory of quadratic polynomials and discuss their applications, with an emphasis on the MLC conjecture, the prob…

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…

On the MLC Conjecture and the Renormalization Theory in Complex Dynamics

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

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