KAWA - Komplex Analysis Workshop VI, 2015

# Equidistribution of rational functions having a superattracting periodic point

speaker: Yusuke Okuyama (Kyoto Institute of Technology)

abstract: We will talk about an approximation of the activity current Tc in the parameter space of a holomorphic family f of rational functions having a marked critical point c by parameters for which c is periodic under f, i.e., is a superattracting periodic point. This partly generalizes a Dujardin- Favre theorem for rational functions having preperiodic points, and refines a Bassanelli-Berteloot theorem on a similar approximation of the bifurcation current Tf of the holomorphic family f.

timetable:
Fri 27 Mar, 14:30 - 15:10, Aula Dini
documents:

Okuyama

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