Decay of correlations and central limit theorem for meromorphic maps

Tien-Cuong Dinh; Nessim Sibony

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Decay of correlations and central limit theorem for meromorphic maps

Tien-Cuong Dinh·Nessim Sibony

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Abstract

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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Tien-Cuong Dinh, Nessim Sibony. 2004-10-01. Decay of correlations and central limit theorem for meromorphic maps. https://arxiv.org/abs/math/0410008

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