arXiv:math/0410008 Abstract

arXiv:math/0410008 [math.DS]Abstract References Reviews Resources

Decay of correlations and central limit theorem for meromorphic maps

Published 2004-10-01Version 1

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.

Comments: 17 pages

Categories: math.DS, math.CV

Keywords: central limit theorem, meromorphic maps, correlations, compact kaehler manifold, dominating meromorphic self-map

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