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Upper bound for topological entropy of a meromorphic correspondence

Tien-Cuong Dinh·Nessim Sibony
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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.

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Tien-Cuong Dinh, Nessim Sibony. 2006-04-24. Upper bound for topological entropy of a meromorphic correspondence. https://arxiv.org/abs/math/0604507

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