The Dynamics of Semigroups of Contraction Similarities on the Plane
Date
2019-08
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American English
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Ph.D.
Degree Year
2019
Department
Mathematical Sciences
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Purdue University
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Abstract
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.
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Indiana University-Purdue University Indianapolis (IUPUI)
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