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.
Read or Download Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set (Lecture Notes in Mathematics) PDF
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