Dynamics Seminar

Inou Hiroyuki

(Kyoto University)

"Generalization of the self-similar property of the Mandelbrot set"


Date: Thu, February 14, 2013
Time: 15:15
Place: Research I Seminar Room

Abstract: A baby Mandelbrot set is characterized by the set of renormalizable polynomials of a given combinatorics and the homeomorphism to the Mandelbrot set is given by straightening of renormalizations. We give a formulation of such renormalizability loci and maps (which we call straightening maps) for families of higher degree polynomials and discuss basic properties such as compactness of renormalizability locus, and injectivity, surjectivity and continuity of straightening maps.