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Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies

Statistical Mechanics 2019-10-21 v2

Abstract

We introduce a class of information measures based on group entropies, allowing us to describe the information-theoretical properties of complex systems. These entropic measures are nonadditive, and are mathematically deduced from a series of natural requirements. In particular, we introduce an extensivity postulate as a natural requirement for an information measure to be meaningful. The information measures proposed are suitably defined for describing universality classes of complex systems, each characterized by a specific phase space growth rate function.

Keywords

Cite

@article{arxiv.1903.07698,
  title  = {Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies},
  author = {Piergiulio Tempesta and Henrik Jeldtoft Jensen},
  journal= {arXiv preprint arXiv:1903.07698},
  year   = {2019}
}

Comments

14 pages. No figures