Ergodic automorphisms with simple spectrum characterized by fast correlation decay

2013/01/13 by A. A. Prikhod’ko, Prikhod'ko, A. A.
Mathematics · Physics and Astronomy · #28D05 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1301.2795

openalex publication_date 2013/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence of measure preserving invertible transformations T with simple spectrum is established possessing the following rate of correlation decay (f(T^k x), f(x)) = O(|k|^-1/2+ε) for a dense family of functions f and any ε> 0.

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