Return to search

The Dynamics of Semigroups of Contraction Similarities on the Plane

Indiana University-Purdue University Indianapolis (IUPUI) / Given a parametrized family of Iterated Function System (IFS) we give sufficient conditions for a parameter on the boundary of the connectedness locus, M, to be accessible from the complement of M.
Moreover, we provide a few examples of such parameters and describe how they are connected to Misiurewicz parameter in the Mandelbrot set, i.e. the connectedness locus of the quadratic family z^2+c.

Identiferoai:union.ndltd.org:IUPUI/oai:scholarworks.iupui.edu:1805/19909
Date08 1900
CreatorsSilvestri, Stefano
ContributorsPerez, Rodrigo, Geller, William, Misiurewicz, Michal, Roeder, Roland K.
Source SetsIndiana University-Purdue University Indianapolis
Languageen_US
Detected LanguageEnglish
TypeThesis
RightsAttribution-NonCommercial-NoDerivs 3.0 United States, http://creativecommons.org/licenses/by-nc-nd/3.0/us/

Page generated in 0.0019 seconds