Lyapunov exponents and bifurcation current for polynomial-like maps
Abstract
Description
We study holomorphic families of polynomial-like maps depending on a parameter s. We prove that the partial sums of largest Lyapunov exponents are plurisubharmonic functions of s. We also study their continuity and introduce the bifurcation locus as the support of bifurcation currents.
22 pages
22 pages