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arxiv: math/0012057 · v1 · submitted 2000-12-08 · 🧮 math.DS · math.CV

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

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keywords measurealgebraicbuildcaracterisationsdeuxdirectlydistributionendomorphism
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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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