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...
Main Authors: | , |
---|---|
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 |