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arxiv: math/0410008 · v1 · submitted 2004-10-01 · 🧮 math.DS · math.CV

Decay of correlations and central limit theorem for meromorphic maps

classification 🧮 math.DS math.CV
keywords centrallimitmeromorphictheoremcompactconstructioncorrelationsdecay
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Let f be a dominating meromorphic self-map of large topological degree on a compact Kaehler manifold. We give a new construction of the equilibrium measure of f and prove that it is exponentially mixing. Then, we deduce the central limit theorem for Lipschitzian observables.

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