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We present a quantitative characterisation of the fluctuations of the annualized growth rate of the real US GDP per capita growth at many scales, using a wavelet transform analysis of two data sets, quarterly data from 1947 to 2015 and…

General Finance · Quantitative Finance 2016-07-15 Sandro Lera , Didier Sornette

The growth of business firms is an example of a system of complex interacting units that resembles complex interacting systems in nature such as earthquakes. Remarkably, work in econophysics has provided evidence that the statistical…

Statistical Finance · Quantitative Finance 2019-01-30 Nathan C. Frey , Sakib Matin , H. Eugene Stanley , Michael Salinger

We apply persistent homology, the main method in topological data analysis, to the study of demographic data. Persistence diagrams efficiently summarize information about clusters or peaks in a region's demographic data. To illustrate how…

Algebraic Topology · Mathematics 2023-10-13 Jakini A. Kauba , Thomas Weighill

The systems that operate the infrastructure of cities have evolved in a fragmented fashion across several generations of technology, causing city utilities and services to operate sub-optimally and limiting the creation of new value-added…

Computers and Society · Computer Science 2020-05-26 Larissa Romualdo-Suzuki , Anthony Finkelstein

To achieve inclusive green growth, countries need to consider a multiplicity of economic, social, and environmental factors. These are often captured by metrics of economic complexity derived from the geography of trade, thus missing key…

General Economics · Economics 2024-07-25 Viktor Stojkoski , Philipp Koch , César A. Hidalgo

Cities are changing constantly. All urban systems face different conditions from day to day. Even when averaged regularities can be found, urban systems will be more efficient if they can adapt to changes at the same temporal scales at…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Carlos Gershenson , Paolo Santi , Carlo Ratti

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a…

General Economics · Economics 2023-04-25 Tomoya Mori , Takashi Akamatsu , Yuki Takayama , Minoru Osawa

Urban transportation systems are vulnerable to congestion, accidents, weather, special events, and other costly delays. Whereas typical policy responses prioritize reduction of delays under normal conditions to improve the efficiency of…

Physics and Society · Physics 2017-12-22 Alexander A. Ganin , Maksim Kitsak , Dayton Marchese , Jeffrey M. Keisler , Thomas Seager , Igor Linkov

The spatial structure of modern cities exhibits highly diverse patterns and keeps evolving under numerous constraints. Two key dimensions have recently achieved prominence in characterizing this diversity: heterogeneity and spreading.…

Physics and Society · Physics 2021-06-30 Bohdan Slavko , Kirill Glavatskiy , Mikhail Prokopenko

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

The notion of the $x$-minute city is again popular in urban planning, but the practical implications of developing walkable neighborhoods have not been rigorously explored. What is the scale of the challenge that cities needing to retrofit…

Optimization and Control · Mathematics 2024-04-02 Drew Horton , Tom Logan , Daphne Skipper , Emily Speakman

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

Cities can be characterised and modelled through different urban measures. Consistency within these observables is crucial in order to advance towards a science of cities. Bettencourt et al have proposed that many of these urban measures…

Physics and Society · Physics 2015-12-22 Elsa Arcaute , Erez Hatna , Peter Ferguson , Hyejin Youn , Anders Johansson , Michael Batty

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

Physics and Society · Physics 2016-06-14 Yanguang Chen , Feng Xu

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

Physics and Society · Physics 2019-10-23 Marc Barthelemy

Understanding the morphology of an urban system is an important step toward unveiling the dynamical processes of its growth and development. At the foundation of every urban system, transportation system is undeniably a crucial component in…

Physics and Society · Physics 2019-04-23 Hoai Nguyen Huynh , Evgeny Makarov , Erika Fille Legara , Christopher Monterola , Lock Yue Chew

This chapter explores the six core dimensions of smart cities (i.e. smart economy, mobility, environment, people, living, and governance) emphasizing their interdependence and the need for holistic orchestration. Building on Giffinger et…

General Economics · Economics 2025-07-17 Filippo Marchesani

The structure of road networks impacts various urban dynamics, from traffic congestion to environmental sustainability and access to essential services. Recent studies reveal that most roads are underutilized, faster alternative routes are…

Physics and Society · Physics 2025-10-06 Giuliano Cornacchia , Luca Pappalardo , Mirco Nanni , Dino Pedreschi , Marta C. González

Despite modest declines in residential segregation levels since the Civil Rights Era, segregation remains a defining feature of the U.S. landscape. This study highlights the importance of considering physical barriers--features of the urban…

Physics and Society · Physics 2017-09-22 Elizabeth Roberto , Jackelyn Hwang

Socioeconomic segregation is considered one of the main factors behind the emergence of large-scale inequalities in urban areas, and its characterisation is an active area of research in urban studies. There are currently many available…

Physics and Society · Physics 2020-10-21 Sandro Sousa , Vincenzo Nicosia
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