Symbolic Sequences and Tsallis Entropy

Abstract

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 $\mu$.

Published in the Brazilian Journal of Physics

References in corpus (3)

• A nonextensive approach to the dynamics of financial observables
• What does the nonextensive parameter q stand for in self-gravitating systems ?
• Nonextensive statistical effects on the relativistic nuclear equation of state

Cited by in corpus (4)

• Solutions for a q-generalized Schrödinger equation of entangled interacting particles
• Generating pseudo-random discrete probability distributions
• On the dynamics of bubbles in boiling water
• Anomalous diffusion in a symbolic model