Lyapunov exponents and bifurcation current for polynomial-like maps

Details Lyapunov exponents and bifurcation current for polynomial-like maps Lyapunov exponents and bifurcation current for polynomial-like maps

2005-12-24

arxiv.org/abs/math/0512557v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

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.

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