Correspondence Principle and Translation Principle in Complex Quadratic Iteration Theory
by
Karsten Keller

A lot of symmetry in the Mandelbrot set can be explained by a Correspondence and Translation Principle both conjectured and partially proved by E. Lau and D. Schleicher. Recently, we have found complete proofs. The aim of the talk is to explain the two principles and to discuss consequences. Moreover, we try to present the idea of the proofs.

Date received: June 24, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaj-35.