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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