Lyapunov exponents and bifurcation current for polynomial-like maps
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.math/0512557,
title = {Lyapunov exponents and bifurcation current for polynomial-like maps},
author = {Ngoc-mai Pham},
journal= {arXiv preprint arXiv:math/0512557},
year = {2007}
}
Comments
22 pages