On the correlation dimension of the spectral measure for the thue-morse sequence

Details On the correlation dimension of the spectral measure for the thue-morse sequence On the correlation dimension of the spectral measure for the thue-morse sequence

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jsp....88.1387z&link_type=abstract

Journal of Statistical Physics, Volume 88, Issue 5-6, pp. 1387-1392

Physics

5

Singular Continuous Spectrum, Multifractality, Autocorrelation Function

Scientific paper

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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