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

Tien-Cuong Dinh
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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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Tien-Cuong Dinh. 2004-12-15. Distribution des preimages et des points periodiques d'une correspondance polynomiale. https://arxiv.org/abs/math/0303365

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