The Dynamics of Semigroups of Contraction Similarities on the Plane
thesisposted on 2019-10-16, 16:29 authored by Stefano SilvestriStefano Silvestri
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.
- Doctor of Philosophy