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Growth is a multi-layered phenomenon in human societies, composed of socioeconomic and demographic change at many different scales. Yet, standard macroeconomic indicators average over most of these processes, blurring the spatial and…

Physics and Society · Physics 2025-11-11 Jordan T Kemp , Laura Fürsich , Luís M A Bettencourt

More than a half of world population is now living in cities and this number is expected to be two-thirds by 2050. Fostered by the relevancy of a scientific characterization of cities and for the availability of an unprecedented amount of…

Physics and Society · Physics 2015-09-21 Luiz G. A. Alves , Renio S. Mendes , Ervin K. Lenzi , Haroldo V. Ribeiro

Cities generate gains from interaction, but citizens often experience segregation as they move around the urban environment. Using GPS location data, we identify four distinct patterns of experienced segregation across US cities. Most…

Physics and Society · Physics 2024-07-18 Andrew Renninger , Neave O'Clery , Elsa Arcaute

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on the distribution below the very upper tail,…

Physics and Society · Physics 2016-03-29 Hernan Rozenfeld , Diego Rybski , Xavier Gabaix , Hernan A. Makse

This review is intended to give a pedagogical and unified view on the subject of the statistics and scaling of physical quantities in disordered electron systems at very low temperatures. Quantum coherence at low temperatures and randomness…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Martin Janssen

We study the connection between urban scaling, fundamental allometry (between city population and city area), and per capita vs.\ population density scaling. From simple analytical derivations we obtain the relation between the 3 involved…

Physics and Society · Physics 2016-09-06 Diego Rybski

Human development has far-reaching impacts on the surface of the globe. The transformation of natural land cover occurs in different forms and urban growth is one of the most eminent transformative processes. We analyze global land cover…

Accurate modelling of local population movement patterns is a core contemporary concern for urban policymakers, affecting both the short term deployment of public transport resources and the longer term planning of transport infrastructure.…

Physics and Society · Physics 2019-05-21 Chico Q. Camargo , Jonathan Bright , Scott A. Hale

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

Various natural and engineered systems, from urban traffic flow to the human brain, can be described by large-scale networked dynamical systems. These systems are similar in being comprised of a large number of microscopic subsystems, each…

Dynamical Systems · Mathematics 2026-01-06 Sabbir Ahmed , Hafiz Fareed Ahmed , Erfan Nozari

Scale-free power law structure describes complex networks derived from a wide range of real world processes. The extensive literature focuses almost exclusively on networks with power law exponent strictly larger than 2, which can be…

Social and Information Networks · Computer Science 2015-09-29 Harry Crane , Walter Dempsey

Human behaviors, including scientific activities, are shaped by the hierarchical divisions of geography. As a result, researchers' mobility patterns vary across regions, influencing several aspects of the scientific community. These aspects…

Physics and Society · Physics 2024-04-03 Yurui Huang , Langtian Ma , Chaolin Tian , Xunyi Jiang , Roberta Sinatra , Yifang Ma

Monitoring urban structure and development requires high-quality data at high spatiotemporal resolution. While traditional censuses have provided foundational insights into demographic and socioeconomic aspects of urban life, their pace may…

Physics and Society · Physics 2024-03-20 Gezhi Xiu , Jianying Wang , Thilo Gross , Mei-Po Kwan , Xia Peng , Yu Liu

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

Physics and Society · Physics 2012-12-21 Jiang Zhang

Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and…

Adaptation and Self-Organizing Systems · Physics 2025-06-25 Venceslas Nguefoue Meli , Thierry Njougouo , Steve J. Kongni , Patrick Louodop , Hilaire Bertrand Fotsin , Hilda A. Cerdeira

Urban populations exhibit fractal organization and systematic scaling regularities, yet the scaling exponents reported across cities vary substantially, challenging existing theory. Using 100~m gridded population maps for 477 urban areas…

Physics and Society · Physics 2026-04-03 Wout Merbis , Fernando A. N. Santos , Jay Armas , Frank Pijpers , Mike Lees

Two measurements are employed to quantitatively investigate the scaling properties of the spatial distribution of urban facilities, the K function by number counting and the variance-mean relationship with the method of expanding bins. The…

Physics and Society · Physics 2014-12-24 Liang Wu

We propose a bare-bones stochastic model that takes into account both the geographical distribution of people within a country and their complex network of connections. The model, which is designed to give rise to a scale-free network of…

Physics and Society · Physics 2014-02-04 Gerald F. Frasco , Jie Sun , Hernan D. Rozenfeld , Daniel ben-Avraham

Barriers in cities, such as administrative boundaries, natural obstacles, railways or major roads are thought to induce segregation. However, the empirical knowledge about this phenomenon is limited. Here, we present a network science…

Physics and Society · Physics 2025-08-13 Gergő Pintér , Balázs Lengyel
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