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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Thermodynamic formalism for Siegel disks
by
Lukas Geyer
Montana State University

We study geometric measures and Hausdorff dimension for polynomials with Siegel disks. The Hausdorff dimension of the boundary of the quadratic golden mean Siegel disk is characterized in terms of conformal measures and point pressure functions. This is joint work with Michel Zinsmeister (University of Orleans).

Date received: February 28, 2008

Copyright © 2008 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 # cawy-12.