Dynamics of locally connected polynomial Julia sets
by
Lex G. Oversteegen
UAB
Coauthors: Alexander Blokh

The topological structure of locally connected Julia sets of complex polynomials is well understood. In this talk we will apply techniques from continuum theory to study the iterative behavior of the polynomial on its Julia set. For example we will observe that each such Julia set is a finitely Suslinian continuum (i.e., for each \epsilon > 0 each collection of pairwise disjoint continua of diameter larger than \epsilon is finite). It will follow that the contraction principle holds and that such Julia sets do not have any nondegenerate wandering continua.

Date received: February 15, 1999

Copyright © 1999 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 # caca-42.