English

Propri\'et\'es ergodiques des applications rationnelles

Complex Variables 2007-05-23 v1 Dynamical Systems

Abstract

This is a survey article with focus on the following problem. Given f:XXf:X \to X a meromorphic endomorphism of some compact K\"ahler manifold XX, construct and study - under natural numerical conditions - a canonical invariant probability measure with remarkable ergodic properties (mixing, hyperbolicity, maximal entropy, etc).

Keywords

Cite

@article{arxiv.math/0611302,
  title  = {Propri\'et\'es ergodiques des applications rationnelles},
  author = {Vincent Guedj},
  journal= {arXiv preprint arXiv:math/0611302},
  year   = {2007}
}

Comments

survey, 130p, in french

R2 v1 2026-07-22T17:46:05.436Z