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

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

2000-12-08

arxiv.org/abs/math/0012057v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

Let $\mu$ 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 $\mu$
directly as the distribution of any point outside an algebraic exceptional set.

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