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 attached quadratic Julia units that is outfitted on Thurston's inspiration of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. the speculation got is illustrated within the complicated airplane. it really is used to provide 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 user-friendly wisdom in topology and in services of 1 complicated variable is thought.

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