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

2019/03/18 by Piergiulio Tempesta, Henrik Jeldtoft Jensen, Tempesta, Piergiulio +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1903.07698

openalex publication_date 2019/03/18 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We introduce a class of information measures based on group entropies,\nallowing us to describe the information-theoretical properties of complex\nsystems. These entropic measures are nonadditive, and are mathematically\ndeduced from a series of natural requirements. In particular, we introduce an\nextensivity postulate as a natural requirement for an information measure to be\nmeaningful. The information measures proposed are suitably defined for\ndescribing universality classes of complex systems, each characterized by a\nspecific phase space growth rate function.\n

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