セミナー

理研AIPセミナー

タイトル	Stabilities for families of dynamics over non-archimedean fields
開催日時	2020年1月15日 13:30 - 14:30 + 30min.
主催者
講演者	Reimi Irokawa 氏
場所	Keio University, Yagami-campus, Bldg.14th, Room 631 A/B
内容	Toward the understanding of bifurcation phenomena of dynamics on the Berkovich projective line over non-archimedean fields, we study the stability (or passivity) of critical points of families of polynomials parametrized by analytic curves. We construct the activity measure of a critical point of a family of rational functions, and study its properties. For a family of polynomials, we study more about the activity locus such as its relation to boundedness locus (or Mandelbrot set) and to the normality of the sequence of the forward orbit.
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