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arXiv · 2512.24171

On the MLC Conjecture and the Renormalization Theory in Complex Dynamics

Dzmitry Dudko
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Abstract

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 problem of local connectivity of the Mandelbrot set, and on its geometric counterparts.

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Dzmitry Dudko. 2025-12-30. On the MLC Conjecture and the Renormalization Theory in Complex Dynamics. https://arxiv.org/abs/2512.24171

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