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Regularity of topological pressure: From one to two dimensional complex dynamics
by
Christian Wolf
Wichita State University
In this talk we study the thermodynamics of complex Hénon maps which are small perturbations of one-dimensional polynomials. We derive regularity results of the pressure function in the neighborhood of the degenerate map (i.e. the polynomial). As a consequence we obtain that for complex Hénon maps the Hausdorff dimension of the Julia set is discontinuous at the boundary of the hyperbolicity locus.
Date received: February 20, 2009
Copyright © 2009 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 # cayo-31.