Atlas home || Conferences | Abstracts | about Atlas

Dynamical Systems and Related Topics Workshop
March 21-24, 1998
University of Maryland
College Park, MD, USA

Organizers
Mike Boyle, Brian Hunt, Jim Yorke

View Abstracts
Conference Homepage

Inducing for Complex Polynomials
by
Gregory Swiatek
Penn state University
Coauthors: Jacek Graczyk, Stanislav Smirnov

We develop in a systematic way an inducing procedure for complex polynomials. One issue to study is the geometry of the partition of parameter space into sets of parameters with the same behavior under inducing. We describe the behavior under inducing for maps in the boundary of the Mandelbrot set which are typical with respect to the harmonic measure from infinity.

Date received: March 17, 1998

Copyright © 1998 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 # cabf-23.