Shannon information, LMC complexity and Renyi entropies: a straightforward approach

Ricardo Lopez-Ruiz

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arXiv · nlin/0312056

Shannon information, LMC complexity and Renyi entropies: a straightforward approach

Ricardo Lopez-Ruiz

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Abstract

The LMC complexity, an indicator of complexity based on a probabilistic description, is revisited. A straightforward approach allows us to establish the time evolution of this indicator in a near-equilibrium situation and gives us a new insight for interpreting the LMC complexity for a general non equilibrium system. Its relationship with the Renyi entropies is also explained. One of the advantages of this indicator is that its calculation does not require a considerable computational effort in many cases of physical and biological interest.

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nlin.AO cond-mat.stat-mech cs.IT math.IT nlin.CD physics.comp-ph q-bio.QM

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Ricardo Lopez-Ruiz. 2003-12-22. Shannon information, LMC complexity and Renyi entropies: a straightforward approach. https://arxiv.org/abs/nlin/0312056

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