Distinguished correlation properties of Chebyshev dynamical systems and their generalisations

We show that, among all smooth one-dimensional maps conjugated to an N-ary shift (a Bernoulli shift of N symbols), Chebyshev maps are distinguished in the sense that they have least higher-order correlations. We generalise our consideration and study a family of shifted Chebyshev maps, presenting an...

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Bibliographic Details
Main Authors: Jin Yan, Christian Beck
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Chaos, Solitons & Fractals: X
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590054420300166