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

S.L. Narasimhan, Joseph A. Nathan, P.S.R. Krishna and K.P.N. Murthy

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 252-260

Abstract: 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 coarse-graining process) does not necessarily imply that long-range correlations found in the latter would correspond to those of the former.

Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437105012379
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:252-260

DOI: 10.1016/j.physa.2005.11.034

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().