On the correlation dimension of the spectral measure for the thue-morse sequence |
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| Authors: | Michael A Zaks Arkady S Pikovsky Jürgen Kurths |
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| Institution: | (1) Department of Nonlinear Dynamics, Institute of Theoretical Physics and Astrophysics, Potsdam University, Postfach 601553, D-14415 Potsdam, Germany |
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| Abstract: | Using the relationship between the decay rate of autocorrelation and the characteristics of singular Fourier spectra, we show
that the correlation dimension of the spectral measure for the infinite Thue-Morse symbolic sequence equals 3 − log(1 + √17)/log
2=0.64298…. |
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| Keywords: | Singular continuous spectrum multifractality autocorrelation function |
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