English

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

Dynamical Systems 2007-05-23 v2

Abstract

We construct an equilibrium measure μ\mu for a polynomial correspondence F of Lojasiewicz exponent l>1. We then show that μ\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 μ\mu. Using this results, we will give a characterization of infinite unique sets for polynomials.

Keywords

Cite

@article{arxiv.math/0303365,
  title  = {Distribution des preimages et des points periodiques d'une correspondance polynomiale},
  author = {Tien-Cuong Dinh},
  journal= {arXiv preprint arXiv:math/0303365},
  year   = {2007}
}

Comments

33 pages