10.25394/PGS.8953136.v1
Stefano Silvestri
The Dynamics of Semigroups of Contraction Similarities on the Plane
2019
Purdue University Graduate School
Fractal Geometry
Iterated Function Systems
Complex Dynamics
Mandelbrot Set
2019-10-16 16:29:47
article
https://hammer.figshare.com/articles/thesis/The_Dynamics_of_Semigroups_of_Contraction_Similarities_on_the_Plane/8953136
<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>