Wolf Jung   jung@mndynamics.com
Gesamtschule Aachen-Brand, Rombachstrasse 41, 52078 Aachen, Germany.

Research on the Mandelbrot set:

Under construction ...

See also the presentation from the Mini-Workshop in complex dynamics, Søminestationen in Holbæk, October 2007.

An animated introduction to complex dynamics is contained as a "demo" in the program Mandel.
Online courses at other sites:
Mandelbrot set anatomy by Evgeny Demidov.
Mu-Ency glossary and encyclopedia by Robert Munafo.
Mandelbrot set at Wikipedia.
Logistic equation by Arnaud Chéritat.
Order course by the M. Casco Learning Center.
Fractal geometry and the Mandelbrot set at Yale University.
Math 215, University of Rochester.
Mandelbrot set explorer and interactive papers by Bob Devaney.

Publications and preprints:

[0] Some Explicit Formulas for the Iteration of Rational Functions
Unpublished manuscript of 1997. Download pdf.

[1] Homeomorphisms on Edges of the Mandelbrot Set
Ph.D. thesis of 2002, available from the RWTH library, the IMS thesis server,
and here as pdf (1817 kb).

[2] Homeomorphisms of the Mandelbrot Set
arXiv:math/0312279. Appeared in Dynamics on the Riemann Sphere,
A Bodil Branner Festschrift, Poul G. Hjorth and Carsten Lunde Petersen Editors,
EMS, January 2006, pp 139-159. ISBN 3-03719-011-6. Download pdf.

[3] Quasi-conformal and Combinatorial Surgery
Preprint in preparation (2009).

[4] Self-Similarity and Homeomorphisms of the Mandelbrot Set
Preprint in preparation (2008).