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https://dx.doi.org/10.48550/ar...
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Propri��t��s ergodiques des applications rationnelles

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Part of book or chapter of book 01 Jan 2006Embargo end date: 01 Jan 2006 France Publisher:arXiv
Authors: Guedj, Vincent;

doi: 10.48550/arxiv.math/0611302 , 10.5281/zenodo.1039798 , 10.5281/zenodo.1039799

arXiv: math/0611302

Propri��t��s ergodiques des applications rationnelles

Abstract

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

survey, 130p, in french

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Keywords

32H50 (32Q15 32U40 37A25 37B40 37F10), 32H50, 37F10, 37D25, Mathematics - Complex Variables, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Complex Variables (math.CV)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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