Symbolic Sequences and Tsallis Entropy

Symbolic Sequences and Tsallis Entropy

H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, G. A. Mendes, L. R. da Silva, Brazilian Journal of Physics 39, 444 (2009). PDF | DOI

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.