Silvestri_Thesis.pdf (3.85 MB)
Download fileThe Dynamics of Semigroups of Contraction Similarities on the Plane
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.
History
Degree Type
- Doctor of Philosophy
Department
- Mathematics
Campus location
- Indianapolis