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Preprint available:

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Expansion-Modification systems: A Model for
Spatial 1/f Spectra (W. Li, Santa Fe Institute)

SFI-90-012

It is proposed in this paper that when two processes
competing with each other, one tends to create long-
range correlations whereas another tends to destroy 
it, the limiting object consists many length scales. 
In particular, it might have power-law correlation 
functions and spatial 1/f spectra. The basic features
of this competing open dynamical process is captured
by the model  expansion-modification system, first
proposed in Ref...  Many detailed properties of the
system, both numerical and analytical, are discussed
here. The implication of the proposed mechanism for
power-law correlation functions to the evolution of
galaxies and the evolution of nucleotide sequences
are also discussed. 
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