Perez, RodrigoSilvestri, StefanoGeller, WilliamMisiurewicz, MichalRoeder, Roland K.2019-07-192019-07-192019-08https://hdl.handle.net/1805/19909http://dx.doi.org/10.7912/C2/2406Indiana University-Purdue University Indianapolis (IUPUI)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.en-USAttribution-NonCommercial-NoDerivs 3.0 United StatesFractal GeometryComplex DynamicsIterated Function SystemsMandelbrot SetThesis