On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence

Authors
Zaks, MA Pikovsky, AS Kurths, J
Citation
Ma. Zaks et al., On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence, J PHYS A, 32(8), 1999, pp. 1523-1530
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
8
Year of publication
1999
Pages
1523 - 1530
Database
ISI
SICI code
0305-4470(19990226)32:8<1523:OTGDFT>2.0.ZU;2-M
Abstract
We present explicit relations for the generalized dimensions D-q of the spe ctral measure of the Thue-Morse symbolic sequence for positive integer valu es of q. Each D-q is expressed through the eigenvalue of the corresponding (q x q) matrix. It is also demonstrated how these dimensions can be recover ed from the products of the values of the autocorrelation function.