Symbolic sequences and Tsallis entropy

We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated l times, with the probability distribution p(l) ∝ 1/l µ. For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of q, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter µ.

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Bibliographic Details
Main Authors: Ribeiro,H. V., Lenzi,E. K., Mendes,R. S., Mendes,G. A., da Silva,L. R.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2009
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400018
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