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arxiv: math/0604507 · v1 · submitted 2006-04-24 · 🧮 math.DS · math.CV

Upper bound for topological entropy of a meromorphic correspondence

classification 🧮 math.DS math.CV
keywords entropycorrespondencemeromorphictopologicalaboveanalogousboundbounded
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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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