Deux caractérisations de la mesure d’équilibre d’un endomorphisme de P k (ℂ)
Briend, Jean-Yves ; Duval, Julien
Publications Mathématiques de l'IHÉS, Tome 94 (2001), p. 145-159 / Harvested from Numdam
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Soit µ la mesure d’équilibre d’un endomorphisme de P k (C). Nous montrons ici qu’elle est son unique mesure d’entropie maximale. Nous construisons directement µ comme distribution asymptotique des préimages

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

@article{PMIHES_2001__93__145_0,
     author = {Briend, Jean-Yves and Duval, Julien},
     title = {Deux caract\'erisations de la mesure d'\'equilibre d'un endomorphisme de $P^k(\mathbb {C})$},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {94},
     year = {2001},
     pages = {145-159},
     zbl = {1010.37004},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/PMIHES_2001__93__145_0}
}

Briend, Jean-Yves; Duval, Julien. Deux caractérisations de la mesure d’équilibre d’un endomorphisme de $P^k(\mathbb {C})$. Publications Mathématiques de l'IHÉS, Tome 94 (2001) pp. 145-159. http://gdmltest.u-ga.fr/item/PMIHES_2001__93__145_0/

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