2 papers
math.DS2015
Holomorphic motion for Julia sets of holomorphic families of endomorphisms of CP(k)
François Berteloot, Fabrizio Bianchi
We build measurable holomorphic motions for Julia sets of holomorphic families of endomorphisms of CP(k) under various equivalent notions of stability.
math.DS2014
Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
François Berteloot, Fabrizio Bianchi, Christophe Dupont
We introduce a notion of stability for equilibrium measures in holomorphic families of endomorphisms of CP(k) and prove that it is equivalent to the stability of repelling cycles a…