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On the MLC Conjecture and the Renormalization Theory in Complex Dynamics (2512.24171v1)

Published 30 Dec 2025 in math.DS

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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