Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Wealth Thermalization Hypothesis and Social Networks

In 1955 Fermi, Pasta, Ulam and Tsingou performed first numerical studies with the aim to obtain the thermalization in a chain of nonlinear oscillators from dynamical equations of motion. This model happend to have several specific features and the dynamical thermalization was established only later

Holy Grail Math 8.5 Rigor 6 ·  June 21, 2025

Thermodynamic description of world GDP distribution over countries

We apply the concept of Rayleigh-Jeans thermalization of classical fields for a description of the world Gross Domestic Product (GDP) distribution over countries. The thermalization appears due to a variety of interactions between countries with conservation of two integrals being total GDP and prob

Holy Grail Math 7 Rigor 6 ·  December 6, 2025

Dynamical thermalization and turbulence in social stratification models

We study the nonlinear chaotic dynamics in a system of linear oscillators coupled by social network links with an additional stratification of oscillator energies, or frequencies, and supplementary nonlinear interactions. It is argued that this system can be viewed as a model of social stratificatio

Lab Rats Math 7.5 Rigor 2.5 ·  March 25, 2026

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