The Dynamics of Semigroups of Contraction Similarities on the Plane
| dc.contributor.advisor | Perez, Rodrigo | |
| dc.contributor.author | Silvestri, Stefano | |
| dc.contributor.other | Geller, William | |
| dc.contributor.other | Misiurewicz, Michal | |
| dc.contributor.other | Roeder, Roland K. | |
| dc.date.accessioned | 2019-07-19T12:36:33Z | |
| dc.date.available | 2019-07-19T12:36:33Z | |
| dc.date.issued | 2019-08 | |
| dc.degree.date | 2019 | en_US |
| dc.degree.discipline | Mathematical Sciences | en |
| dc.degree.grantor | Purdue University | en_US |
| dc.degree.level | Ph.D. | en_US |
| dc.description | Indiana University-Purdue University Indianapolis (IUPUI) | en_US |
| dc.description.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. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/19909 | |
| dc.identifier.uri | http://dx.doi.org/10.7912/C2/2406 | |
| dc.language.iso | en_US | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Fractal Geometry | en_US |
| dc.subject | Complex Dynamics | en_US |
| dc.subject | Iterated Function Systems | en_US |
| dc.subject | Mandelbrot Set | en_US |
| dc.title | The Dynamics of Semigroups of Contraction Similarities on the Plane | en_US |
| dc.type | Thesis | en |