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Decay of correlations and the central limit theorem for meromorphic maps

✍ Scribed by Tien-Cuong Dinh; Nessim Sibony

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
200 KB
Volume
59
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

Let f be a dominant meromorphic self‐map of large topological degree on a compact Kähler manifold. We give a new construction of the equilibrium measure μ of f and prove that μ is exponentially mixing. As a consequence, we get the central limit theorem in particular for Hölder‐continuous observables, but also for noncontinuous observables. © 2005 Wiley Periodicals, Inc.

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