AIP Math Team Seminar

Speaker: Reimi Irokawa

Date and Time: 15th January 2020, 13:30 - 14:30 + 30min.

Place: Keio University, Yagami-campus Bldg.14th, Room 631 A/B

Title: Stabilities for families of dynamics over non-archimedean fields

Abstract: 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.

If you are interested, please feel free to join.

Best regards,
Reimi IROKAWA