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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Communicated by J. M. Luck
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Zaks, M.A., Pikovsky, A.S. & Kurths, J. On the correlation dimension of the spectral measure for the thue-morse sequence. J Stat Phys 88, 1387–1392 (1997). https://doi.org/10.1007/BF02732440
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DOI: https://doi.org/10.1007/BF02732440