The bifurcation measure has maximal entropy

開催日時
2018/06/29 金 14:00 - 17:00
場所
6号館609号室
講演者
Gabriel Vigny
講演者所属
Université de Picardie Jules Verne
概要

Consider a holomorphic family of rational maps of the Riemann sphere of degree d>1. We define a natural notion of entropy of bifurcation, mimicking the classical definition of entropy, by the parametric growth rate of critical orbits. We also define a notion a measure-theoretic bifurcation entropy for which we prove a variational principle: the measure of bifurcation is a measure of maximal entropy (joint work with De Thélin and Gauthier).