Upper bound for topological entropy of a meromorphic correspondence
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
Let f be a meromorphic correspondence on a compact Kahler manifold. We show that the topological entropy of f is bounded from above by the logarithm of its maximal dynamical degree. An analogous estimate for the entropy on subvarieties is given. We also discuss a notion of Julia and Fatou sets.
Keywords
Cite
@article{arxiv.math/0604507,
title = {Upper bound for topological entropy of a meromorphic correspondence},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:math/0604507},
year = {2007}
}
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14 pages