Symbolic Sequences and Tsallis Entropy

Details Symbolic Sequences and Tsallis Entropy Symbolic Sequences and Tsallis Entropy

2010-01-16

arxiv.org/abs/1001.2855v1

Physics

Data Analysis, Statistics and Probability

Published in the Brazilian Journal of Physics

Scientific paper

10.1590/S0103-97332009000400018

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 $p(l)\propto 1/ l^{\mu}$. 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 $\mu$.

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