Upper bound for topological entropy of a meromorphic correspondence

Details Upper bound for topological entropy of a meromorphic correspondence Upper bound for topological entropy of a meromorphic correspondence

2006-04-24

arxiv.org/abs/math/0604507v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

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.

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