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The uniform central limit theorem for the tent map

✍ Scribed by Jongsig Bae; Changha Hwang; Doobae Jun

Book ID: 116890449
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 220 KB
Volume: 82
Category: Article
ISSN: 0167-7152
DOI: 10.1016/j.spl.2012.02.003

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## 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‐c