A formalism for studying long-range correlations in many-alphabets sequences

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We formulate a mean-field-like theory of long-range correlated $L$-alphabets sequences, which are actually systems with $(L-1)$ independent parameters. Depending on the values of these parameters, the variance on the average number of any given symbol in the sequence shows a linear or a superlinear dependence on the total length of the sequence. We present exact solution to the four-alphabets and three-alphabets sequences. We also demonstrate that a mapping of the given sequence into a smaller alphabets sequence (namely, a {\it coarse-graining} process) does not necessarily imply that long-range correlations found in the latter would correspond to those of the former.
A clarifying note added in the introduction and in the summary; 13 pages including 3 figure

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/24770

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0409053
 http://arxiv.org/abs/cond-mat/0409053

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arXiv