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

## TL;DR

This paper introduces a new class of nonadditive information measures based on group entropies, designed to characterize universality classes of complex systems through their phase space growth rates.

## Contribution

It proposes a novel framework of group entropy-based information measures with an extensivity postulate, enabling classification of complex systems into universality classes.

## Key findings

- Defined nonadditive information measures from natural requirements
- Established a link between phase space growth and universality classes
- Provided a mathematical foundation for describing complex systems

## 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.