Distribution des preimages et des points periodiques d'une correspondance polynomiale

2003/03/28 by Tien‐Cuong Dinh, Tien-Cuong Dinh, Dinh, Tien-Cuong
Mathematics · #Functional Equations Stability Results #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.math/0303365

33 pages

arxiv created 2004/12/15 · arxiv updated 2009/11/30

Abstract

We construct an equilibrium measure μ for a polynomial correspondence F of Lojasiewicz exponent l>1. We then show that μ can be built as the distribution of preimages of a generic point and that the expansive periodic points are equidistributed on the support of μ. Using this results, we will give a characterization of infinite unique sets for polynomials.

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