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

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

2003-03-28

arxiv.org/abs/math/0303365v2

Mathematics

Dynamical Systems

33 pages

Scientific paper

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

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