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The distribution of income and wealth in developed economies exhibits a robust two-class structure: an exponential (Boltzmann--Gibbs) bulk covering $\sim\!97\%$ of the population, and a power-law (Pareto) tail in the upper $\sim\!3\%$. We…

Physics and Society · Physics 2026-04-28 Robert T. Nachtrieb

Economic growth is measured as the rate of relative change in gross domestic product (GDP) per capita. Yet, when incomes follow random multiplicative growth, the ensemble-average (GDP per capita) growth rate is higher than the time-average…

General Economics · Economics 2020-09-23 Alexander Adamou , Yonatan Berman , Ole Peters

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman

We investigate the hierarchical structures of countries based on electricity consumption and economic growth by using the real amounts of their consumption over a certain time period. We use of electricity consumption data to detect the…

Statistical Finance · Quantitative Finance 2014-06-30 Ersin Kantar , Alper Aslan , Bayram Deviren , Mustafa Keskin

Motivated by recent findings that human mobility is proxy for crime behavior in big cities and that there is a superlinear relationship between the people's movement and crime, this article aims to evaluate the impact of how these findings…

Physics and Society · Physics 2017-04-27 Carlos Caminha , Vasco Furtado

The rank-size regularity known as Zipf's law is one of scaling laws and frequently observed within the natural living world and in social institutions. Many scientists tried to derive the rank-size scaling relation by entropy-maximizing…

Physics and Society · Physics 2018-12-21 Yanguang Chen

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

Statistical Mechanics · Physics 2020-10-06 Thomas Gueudré , David Martin

A model based on first-degree family relations network is used to describe the wealth distribution in societies. The network structure is not a-priori introduced in the model, it is generated in parallel with the wealth values through…

Other Condensed Matter · Physics 2009-11-10 R. Coelho , Z. Neda , J. J. Ramasco , M. A. Santos

A computational model for the distribution of wealth among the members of an ideal society is presented. It is determined that a realistic distribution of wealth depends upon two mechanisms: an asymmetric flux of wealth in trading…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

Random graph models with community structure have been studied extensively in the literature. For both the problems of detecting and recovering community structure, an interesting landscape of statistical and computational phase transitions…

Statistics Theory · Mathematics 2025-06-30 Cynthia Rush , Fiona Skerman , Alexander S. Wein , Dana Yang

We consider the scaling laws, second-order statistics and entropy of the consumed energy of metropolis cities which are hybrid complex systems comprising social networks, engineering systems, agricultural output, economic activity and…

Physics and Society · Physics 2017-12-18 Syed Amaar Ahmad

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

It is not uncommon, e.g. in the media, that specific groups are categorized as being racist. Based on an extensive dataset of intermarriage statistics our study questions the legitimacy of such characterizations. It suggests that, far from…

Physics and Society · Physics 2007-05-23 Charles Jego , Bertrand M. Roehner

The expansion of global electricity distribution systems necessitates the deployment of massive infrastructure. Assessing its implications from a spatial and material perspective requires an understanding of the core drivers of a…

Physics and Society · Physics 2026-02-17 Emile Emery , Joseph Le Bihan , José Halloy

Income inequality between different races in the U.S. is especially large. This difference is even larger when gender is involved. In a complementary study, we have developed a dynamic microeconomic model accurately describing the evolution…

General Finance · Quantitative Finance 2020-07-14 Ivan Kitov

The intrinsic factor that drives the human movement remains unclear for decades. While our observations from intra-urban and inter-urban trips both demonstrate a universal law in human mobility. Be specific, the probability from one…

Physics and Society · Physics 2014-01-17 Xiao Liang , Jichang Zhao , Ke Xu

The scaling of urban characteristics with total population has become an important research field since one needs to better understand the challenges of urban densification. Yet urban scaling research is largely disconnected from…

Physics and Society · Physics 2018-01-24 Justin Delloye , Rémi Lemoy , Geoffrey Caruso

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao

A dynamic model of the social relations between workers and capitalists is introduced. The model is deduced from the assumption that the law of value is an organising principle of modern economies. The model self-organises into a dynamic…

Condensed Matter · Physics 2011-03-24 Ian Wright

We use the theory of complex networks in order to quantitatively characterize the formation of communities in a particular financial market. The system is composed by different banks exchanging on a daily basis loans and debts of liquidity.…

Physics and Society · Physics 2009-11-13 G. De Masi , G. Iori , G. Caldarelli