English

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

Dynamical Systems 2007-05-23 v1 Complex Variables

Abstract

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

Keywords

Cite

@article{arxiv.math/0012057,
  title  = {Deux caracterisations de la mesure d'equilibre d'un endomorphisme de Pk(C)},
  author = {Jean-Yves Briend and Julien Duval},
  journal= {arXiv preprint arXiv:math/0012057},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T16:36:15.551Z