Propriétés ergodiques des applications rationnelles

Details Propriétés ergodiques des applications rationnelles Propriétés ergodiques des applications rationnelles

2006-11-10

arxiv.org/abs/math/0611302v1

Mathematics

Complex Variables

survey, 130p, in french

Scientific paper

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

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