Activity measures of dynamical systems over non-archimedean fields

開催日時: 
2019/06/21 Fri 14:00 - 17:00
場所: 
6号館609号室
講演者: 
色川 怜未
講演者所属: 
東京工業大学/理化学研究所
概要: 

Toward the understanding of bifurcation phenomena of dynamics on the Berkovich projective line,an over non-archimedean fields, we study the stability (or passivity) of critical points of families of polynomials parametrized by an analytic curve. We construct the activity measure of a critical points of a family of polynomials, and study its property such as equidistribution, its relation to the Mandelbrot set.