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We present a broad, phenomenological picture of the distribution of the length of open space linear segments, $l$, derived from maps of 36 cities in 14 different countries. By scaling the Zipf plot of $l$, we obtain two master curves for a…

Statistical Mechanics · Physics 2007-05-23 Rui Carvalho , Alan Penn

More than half of the world's population now lives in urban environments, which concentrate services and infrastructure to satisfy the material needs of a growing number of inhabitants. The interdependencies between physical infrastructure…

Physics and Society · Physics 2025-02-11 Ariel Favier , Christine Hedde-von Westernhagen , Meghan Krieg , Bhaskar Kumawat

We create 4200 synthetic cities which vary in percent minority population and their residential segregation patterns. Of these, 1200 are modeled on existing cities, and 3000 are rectangular grid cities. In each city, we consider…

Computers and Society · Computer Science 2022-08-30 William Hager , Betseygail Rand

Urban infrastructure networks play a major role in providing reliable flows of multitude critical services demanded by citizens in modern cities. We analyzed here a database of 125 infrastructure networks, roads (RN); urban drainage…

Nature access is increasingly recognised as a public health and equity imperative, yet cities lack standardised ways to measure who benefits from green infrastructure. We present the first national, building-level assessment of the 3-30-300…

Physics and Society · Physics 2025-10-27 Andrés Camilo Zúñiga-González , Anil Madhavapeddy , Ronita Bardhan

Power law distributions characterise several natural and social phenomena. The Zipf law for cities is one of those. The study views the question of whether that global regularity is independent of different spatial distributions of cities.…

Physics and Society · Physics 2021-06-09 Rolf Bergs

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

Accessible parking is critical for people with disabilities (PwDs), allowing equitable access to destinations, independent mobility, and community participation. Despite mandates, there has been no large-scale investigation of the quality…

Human-Computer Interaction · Computer Science 2025-10-01 Jared Hwang , Chu Li , Hanbyul Kang , Maryam Hosseini , Jon E. Froehlich

There are many news articles reporting the obstacles confronting poverty-stricken households in access to public transits. These barriers create a great deal of inconveniences for these impoverished families and more importantly, they…

Artificial Intelligence · Computer Science 2022-11-29 Anik Pramanik , Pan Xu , Yifan Xu

Half of the world population resides in cities and urban segregation is becoming a global issue. One of the best known attempts to understand it is the Schelling model, which considers two types of agents that relocate whenever a transfer…

Physics and Society · Physics 2022-11-09 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

Improving access to essential public services like healthcare and education is crucial for human development, particularly in rural Sub-Saharan Africa. However, limited reliable transportation and sparse public facilities present…

Computers and Society · Computer Science 2024-02-09 Clemens Pizzinini , Nils Justen , David Ziegler , Markus Lienkamp

Many outputs of cities scale in universal ways, including infrastructure, crime, and economic activity. Through a mathematical model, this study investigates the interplay between such scaling laws in human organization and governmental…

Physics and Society · Physics 2025-06-05 Bryce Morsky

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

Rural and urban areas exhibit distinct mobility patterns, yet a systematic understanding of how these trends differ across regions and contexts remains underexplored. By using origin-destination matrices from Location-Based Services data in…

Physics and Society · Physics 2025-03-04 Nandini Iyer , Massimiliano Luca , Riccardo Di Clemente

This paper provides a new geospatial perspective on whether or not Zipf's law holds for all cities or for the largest cities in the United States using a massive dataset and its computing. A major problem around this issue is how to define…

Data Analysis, Statistics and Probability · Physics 2013-07-17 Bin Jiang , Tao Jia

Recent studies of urban scaling show that important socioeconomic city characteristics such as wealth and innovation capacity exhibit a nonlinear, particularly a power law scaling with population size. These nonlinear effects are common to…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Anthony F. J. van Raan

Socioeconomic inequalities in cities are embedded in space and result in neighborhood effects, whose harmful consequences have proved very hard to counterbalance efficiently by planning policies alone. Considering redistribution of money…

Physics and Society · Physics 2018-12-27 Thomas Louail , Maxime Lenormand , Juan Murillo Arias , José J. Ramasco

Why are some neighborhoods strongly connected while others remain isolated? Although standard explanations focus on demographics, economics, and geography, movement across the city may also depend on cultural styles and amenity mix. This…

Social and Information Networks · Computer Science 2025-12-15 Thiago H Silva , Daniel Silver , Gustavo Santos , Myriam Delgado

The empirical studies of city-size distribution show that Zipf's law and the hierarchical scaling law are linked in many ways. The rank-size scaling and hierarchical scaling seem to be two different sides of the same coin, but their…

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

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