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External impressions and Siegel disk boundaries
by
John C. Mayer
University of Alabama at Birmingham
Coauthors: Lex G. Oversteegen
We study the continua in which the impressions of external rays meet the boundary of a Siegel disk of a polynomial. These results have relevance to the structure of the Julia set of certain polynomials. As a consequence, the dynamics on the Siegel disk and its boundary can be related to the dynamics on a subset of the circle (at infinity) of external rays.
Date received: February 13, 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 # caas-77.