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A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population,…

Physics and Society · Physics 2025-08-11 Kangning Huang , Mingzhen Lu

For the first time the systems of cities in seven countries or regions among the largest in the world (China, India, Brazil, Europe, the Former Soviet Union (FSU), the United States and South Africa) are made comparable through the building…

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Zipf's law can be used to describe the rank-size distribution of cities in a region. It was seldom employed to research urban internal structure. In this paper, we demonstrate that the space-filling process within a city follows Zipf's law…

Physics and Society · Physics 2018-12-19 Yanguang Chen , Jiejing Wang

Many cities are expanding in areas with scarce rainfall and limited water retention capacity, and are also becoming elongated and sprawled, making it harder to deliver services. This study quantifies the impact of urban form on access to…

Physics and Society · Physics 2025-08-19 Rafael Prieto-Curiel , Pavel Luengas-Sierra , Christian Borja-Vega

Cities are characterized by the presence of a dense population with a high potential for interactions between individuals of diverse backgrounds. They appear in parallel to the Neolithic revolution a few millennia ago. The advantages…

Physics and Society · Physics 2022-10-12 Elsa Arcaute , Jose J. Ramasco

A standard scientific study comprises two processes: one is to describe a thing, and the other is to understand how the thing works. In order to understand the principle of urban growth, a number of shape indexes are proposed to describe…

Physics and Society · Physics 2023-08-09 Yanguang Chen

Agglomeration economies drive urban growth at different spatial scales by enabling productivity gains, knowledge spillovers, and shared inputs among proximate firms and amenities. To develop a unified science of cities it is thus important…

Physics and Society · Physics 2026-05-12 Jianrui Wu , Baiyue He , Alec Kirkley

We call for a theory of the particle-scale structure of materials that is based on the general notion of information rather than its special case of symmetry. An inherent limitation to the symmetry-based understanding of structure is…

Materials Science · Physics 2024-08-13 Glenn D. Hibbard , John Çamkıran

The presented model provides an explanation to several empirically observed phenomena in spatial economics. By representing the system as a complex network of fixed-size land areas connected by trade between harbored activities, city size…

Statistical Mechanics · Physics 2007-05-23 Claes Andersson , Alexander Hellervik , Kristian Lindgren

A city can be topologically represented as a connectivity graph, consisting of nodes representing individual spaces and links if the corresponding spaces are intersected. It turns out in the space syntax literature that some defined…

Data Analysis, Statistics and Probability · Physics 2009-09-15 Bin Jiang

Urbanization has a strong impact on the health and wellbeing of populations across the world. Predictive spatial modeling of urbanization therefore can be a useful tool for effective public health planning. Many spatial urbanization models…

Machine Learning · Computer Science 2021-12-20 Tang Li , Jing Gao , Xi Peng

Urban analytics combines spatial analysis, statistics, computer science, and urban planning to understand and shape city futures. While it promises better policymaking insights, concerns exist around its epistemological scope and impacts on…

Computers and Society · Computer Science 2021-05-18 Geoff Boeing , Michael Batty , Shan Jiang , Lisa Schweitzer

We introduce a predictive algorithm for the smart growth of cities with populations upward of 100,000, allowing for extensive simulations of growth plans and their effects upon an urban populous. A smart growth metric is calculated to…

Physics and Society · Physics 2017-12-01 James Flamino , Alexander Norman , Madison Wyatt

Cities are inherently dynamic. Interesting patterns of behavior typically manifest at several key areas of a city over multiple temporal resolutions. Studying these patterns can greatly help a variety of experts ranging from city planners…

Computers and Society · Computer Science 2018-01-01 Fabio Miranda , Harish Doraiswamy , Marcos Lage , Kai Zhao , Bruno Gonçalves , Luc Wilson , Mondrian Hsieh , Cláudio T. Silva

The conventional concept of geographical space is mainly referred to actual space based on landscape, maps, and remote sensing images. However, this notion of space is not enough to interpret different types of fractal dimension of cities.…

Physics and Society · Physics 2023-08-09 Yanguang Chen

Kevin Lynch proposed a theory of the image of the city identifying five elements that make the city legible or imageable. The resulting mental map of the city was conventionally derived through some qualitative processes, relying on…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Bin Jiang

Understanding the spatial networks formed by the trajectories of mobile users can be beneficial to applications ranging from epidemiology to local search. Despite the potential for impact in a number of fields, several aspects of human…

Social and Information Networks · Computer Science 2015-03-18 Anastasios Noulas , Blake Shaw , Renaud Lambiotte , Cecilia Mascolo

Many aggregate distributions of urban activities such as city sizes reveal scaling but hardly any work exists on the properties of spatial distributions within individual cities, notwithstanding considerable knowledge about their fractal…

Physics and Society · Physics 2009-09-29 Michael Batty , Rui Carvalho , Andy Hudson-Smith , Richard Milton , Duncan Smith , Philip Steadman

The world is witnessing a period of extreme growth and urbanization; cities in the 21st century became nerve centers creating economic opportunities and cultural values which make cities grow exponentially. With this rapid urban population…

Social and Information Networks · Computer Science 2017-02-12 Tahar Zanouda , Noora AL Emadi , Sofiane Abbar , Jaideep Srivastava