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The Dynamics of Semigroups of Contraction Similarities on the Plane

<div>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.</div><div>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.<br></div>

  1. 10.25394/pgs.8953136.v1
Identiferoai:union.ndltd.org:purdue.edu/oai:figshare.com:article/8953136
Date16 October 2019
CreatorsStefano Silvestri (6983546)
Source SetsPurdue University
Detected LanguageEnglish
TypeText, Thesis
RightsCC BY 4.0
Relationhttps://figshare.com/articles/The_Dynamics_of_Semigroups_of_Contraction_Similarities_on_the_Plane/8953136

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