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Using public data (Forbes Global 2000) we show that the asset sizes for the largest global firms follow a Pareto distribution in an intermediate range, that is ``interrupted'' by a sharp cut-off in its upper tail, where it is totally…

General Finance · Quantitative Finance 2015-06-17 Davide Fiaschi , Imre Kondor , Matteo Marsili , Valerio Volpati

This study explores the citation diversity in scholarly literature, analyzing different patterns of citations observed within different countries and academic disciplines. We examine citation distributions across top institutions within…

Physics and Society · Physics 2025-08-26 Suchismita Banerjee , Abhik Ghosh , Banasri Basu

One of the first steps to understand and forecast economic downturns is identifying their frequency distribution, but it remains uncertain. This problem is common in phenomena displaying power-law-like distributions. Power laws play a…

Adaptation and Self-Organizing Systems · Physics 2013-10-10 Salvador Pueyo

American income inequality, generally estimated with tax data, in the 20th century is widely recognized to have followed a U-curve, though debates persist over the extent of this curve, specifically regarding how high the peaks are and how…

General Economics · Economics 2025-08-19 Vincent Geloso , Alexis Akira Toda

A mapping of nonextensive statistical mechanics into Gibbs' statistical mechanics exists, which leads to a generalization of Einstein's formula for fluctuations. A unified treatment of stability of relaxed states in nonextensive statistical…

Classical Physics · Physics 2018-01-30 Andrea Di Vita

In this second part of our survey on the social and natural distributions, we investigate some models, which intend to explain the statistical regularity of the natural and social distributions. There is a large variety of models and in…

Physics and Society · Physics 2016-07-05 L. Benguigui , M. Marinov

In this paper we explore the dynamic relationship between income inequality and economic mobility through a pairing of a population-scale partial differential equation (PDE) model and an associated individual-based stochastic differential…

Physics and Society · Physics 2025-03-25 Scott A. McKinley , Gary A. Hoover

We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and mobility, the feasibility of an individual to change their position in the income distribution.…

General Economics · Economics 2022-04-27 Viktor Stojkoski , Petar Jolakoski , Arnab Pal , Trifce Sandev , Ljupco Kocarev , Ralf Metzler

Using tax and census data, we demonstrate that the distribution of individual income in the USA is exponential. Our calculated Lorenz curve without fitting parameters and Gini coefficient 1/2 agree well with the data. From the individual…

Statistical Mechanics · Physics 2009-02-25 Adrian Dragulescu , Victor M. Yakovenko

Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explained from very different perspectives. In…

Adaptation and Self-Organizing Systems · Physics 2011-03-10 Ricardo Lopez-Ruiz , Jose-Luis Lopez , Xavier Calbet

The recent book by T. Piketty (Capital in the Twenty-First Century) promoted the important issue of wealth inequality. In the last twenty years, physicists and mathematicians developed models to derive the wealth distribution using discrete…

Probability · Mathematics 2021-07-19 Bertram Düring , Nicos Georgiou , Enrico Scalas

Empirical confirmation of the environmental-dominance inequality Var(ln rho_eff) >> Var(ln k) from arXiv:2605.02985, computed directly from three public datasets (Opportunity Atlas, World Bank GDP per capita PPP, World Inequality Database)…

Physics and Society · Physics 2026-05-13 Kristian Sestak

The present paper is devoted to the relativistic statistical theory, introduced in Phys. Rev. E {\bf 66} (2002) 056125 and Phys. Rev. E {\bf 72} (2005) 036108, predicting the particle distribution function $p(E)= \exp_{\kappa}…

Statistical Mechanics · Physics 2010-12-20 G. Kaniadakis

In this paper we derive inferential results for a new index of inequality, specifically defined for capturing significant changes observed both in the left and in the right tail of the income distributions. The latter shifts are an apparent…

Statistics Theory · Mathematics 2017-06-20 Youri Davydov , Francesca Greselin

A common assumption in the literature is that the level of income inequality shapes individuals' beliefs about whether the income distribution is fair (``fairness views,'' for short). However, individuals do not directly observe income…

General Economics · Economics 2022-11-01 Leonardo Gasparini , Germán Reyes

The higher-end tail of the wealth distribution in India is studied using recently published lists of the wealth of richest Indians between the years 2002-4. The resulting rank distribution seems to imply a power-law tail for the wealth…

Other Condensed Matter · Physics 2009-11-11 Sitabhra Sinha

Starting from the BBGKY hierarchy, describing the kinetics of nonlinear particle system, we obtain the relevant entropy and stationary distribution function. Subsequently, by employing the Lorentz transformations we propose the relativistic…

Statistical Mechanics · Physics 2012-06-12 G. Kaniadakis

Growth rate of real GDP per capita, GDPpc, is represented as a sum of two components, a monotonically decreasing economic trend and fluctuations related to population change. The economic trend is modelled by an inverse function of GDPpc…

General Economics · Economics 2021-03-23 Ivan Kitov

In order to describe the properties of the observed distribution of wealth in a population, most economic models rely on the existence of an asymptotic equilibrium state. In addition, the process generating the equilibrium distribution is…

Statistical Mechanics · Physics 2024-02-16 Valerio Astuti

At what level should government or companies support research? This complex multi-faceted question encompasses such qualitative bonus as satisfying natural human curiosity, the quest for knowledge and the impact on education and culture,…

Statistical Mechanics · Physics 2009-10-31 Didier Sornette , Daniel Zajdenweber
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