Deux caracterisations de la mesure d'equilibre d'un endomorphisme de Pk(C)

2000/12/08 by Jean-Yves Briend, Briend, Jean-Yves, Julien Duval +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular transport and secretion #math.CV #math.DS #msc:32H50 #msc:37A35 #msc:37B40

paper · pdf · doi:10.48550/arxiv.math/0012057

10 pages

arxiv created 2000/12/08 · arxiv updated 2009/11/30

Abstract

Let μ be the equilibrium measure of an endomorphism of \sf P^k(\bf C). We show that it is its unique measure of maximal entropy. We build μ directly as the distribution of any point outside an algebraic exceptional set.

Cited by

• Manhattan curves in complex dynamics and asymptotic correlation of multiplier spectra

Related

• Large entropy measures for endomorphisms of CP(k)
• Entropy properties of rational endomorphisms of the Riemann sphere
• Bernoulli coding map and almost sure invariance principle for endomorphisms of ℙ^k
• Une caracterisation des endomorphismes de Lattes par leur mesure de Green
• Propriétés ergodiques des applications rationnelles