Dynamics Seminar

Sabyasachi Mukherjee

(Jacobs University)

"Non-landing parameter rays of the multicorns"


Date: Tue, March 4, 2014
Time: 14:15
Place: Research I Seminar Room

Abstract: We will prove that certain parameter rays of the Multicorns do not land at a single parameter, but accumulate on an arc of positive length in the parameter space. We'll also give a complete description of which rays land and which ones have this wiggling property. Time permitting, we will outline possible generalizations of our results to higher degree polynomial families, e.g. to the stretching rays of real cubic polynomials.