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Download E-books Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set (Lecture Notes in Mathematics) PDF

By Karsten Keller

This publication is especially dedicated to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained summary counterpart of hooked up quadratic Julia units that's equipped on Thurston's inspiration of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. the idea bought is illustrated within the complicated aircraft. it truly is used to offer rigorous proofs of a few famous and a few partly new statements at the constitution of the Mandelbrot set. The textual content is meant for graduate scholars and researchers. a few common wisdom in topology and in services of 1 advanced variable is thought.

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