Equidistribution for meromorphic maps with dominant topological degree
Dynamical Systems
2013-03-26 v1 Complex Variables
Abstract
Let f be a meromorphic self-map on a compact Kaehler manifold whose topological degree is strictly larger than the other dynamical degrees. We show that repelling periodic points are equidistributed with respect to the equilibrium measure of f. We also describe the exceptional set of points whose backward orbits are not equidistributed.
Keywords
Cite
@article{arxiv.1303.5992,
title = {Equidistribution for meromorphic maps with dominant topological degree},
author = {Tien-Cuong Dinh and Viet-Anh Nguyen and Tuyen Trung Truong},
journal= {arXiv preprint arXiv:1303.5992},
year = {2013}
}
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24 pages