Théorèmes d'équidistribution pour les systèmes dynamiques d'origine arithmétique
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 États de la recherche, Systèmes dynamiques polynomiaux.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2008
- DOI:
- 10.48550/arXiv.0812.0944
- arXiv:
- arXiv:0812.0944
- Bibcode:
- 2008arXiv0812.0944C
- Keywords:
-
- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 37P;
- 37P15;
- 37P30;
- 37P55
- E-Print:
- To appear in \'Etats de la recherche 2006 (Quelques aspects des syst\`emes dynamiques polynomiaux), Panoramas et synth\`eses, vol. 30, SMF, 2010