The Mandelbrot Set, Theme and Variations

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Focusing on the Mandelbrot set, this volume offers a comprehensive exploration of complex dynamics, covering topics such as universality, local connectivity, parabolic bifurcations, and critical circle homeomorphisms. It also delves into absolutely continuous invariant measures and polynomial matings, alongside the geometry and dimension of Julia sets. Significant unpublished results are presented, making it a valuable resource for graduate students and researchers in mathematics, physics, and dynamical systems.