Universal entropy invariants
Robert Graham, Mikael Pichot
TL;DR
This paper introduces entropy invariants for abstract algebraic structures based on an asymptotic Boltzmann formula, providing a new way to quantify complexity within these structures.
Contribution
It proposes a novel method to define entropy invariants for algebraic structures using an asymptotic Boltzmann approach, expanding the tools for structural analysis.
Findings
Defined entropy invariants for algebraic structures
Established a connection between entropy and structural complexity
Provided a framework for future quantitative analysis
Abstract
We define entropy invariants for abstract algebraic structures using an asymptotic Boltzmann formula.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Graph theory and applications