Th\'eor\`emes d'\'equidistribution pour les syst\`emes dynamiques d'origine arithm\'etique
Number Theory
2009-12-30 v2 Algebraic Geometry
Abstract
This survey article is about algebraic dynamics. It is mainly concerned by the arithmetic equidistribution theorems featured by dynamical systems. The contents are: - heights - algebraic dynamics, conjectures - equidistribution theorem on the projective line (after Bilu and Baker). It was written for the sesion 2006 of \'Etats de la recherche, Syst\`emes dynamiques polynomiaux.
Cite
@article{arxiv.0812.0944,
title = {Th\'eor\`emes d'\'equidistribution pour les syst\`emes dynamiques d'origine arithm\'etique},
author = {Antoine Chambert-Loir},
journal= {arXiv preprint arXiv:0812.0944},
year = {2009}
}
Comments
To appear in \'Etats de la recherche 2006 (Quelques aspects des syst\`emes dynamiques polynomiaux), Panoramas et synth\`eses, vol. 30, SMF, 2010