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The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

We propose a model of mobile agents to construct social networks, based on a system of moving particles by keeping track of the collisions during their permanence in the system. We reproduce not only the degree distribution, clustering…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

Urban land growth presents a major sustainability challenge, yet its growth patterns and dynamics remain unclear. We quantified urban land evolution by analyzing its statistical distribution in 14 regions and countries over 29 years. The…

The emergence of large-scale connectivity underlies the proper functioning of many networked systems, ranging from social networks and technological infrastructure to global trade networks. Percolation theory characterizes network formation…

Physics and Society · Physics 2018-06-20 Malte Schröder , Jan Nagler , Marc Timme , Dirk Witthaut

Urban land cover doubled between 1985 and 2015, yet the spatial dynamics of urban form remain under-quantified, despite its importance for sustainability, infrastructure planning, and climate risk. Urban expansion is a non-equilibrium…

Physics and Society · Physics 2026-03-10 Marc Barthelemy , Ulysse Marquis

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

The shape of urban settlements plays a fundamental role in their sustainable planning. Properly defining the boundaries of cities is challenging and remains an open problem in the Science of Cities. Here, we propose a worldwide model to…

Physics and Society · Physics 2018-05-24 Erneson A. Oliveira , Vasco Furtado , José S. Andrade , Hernán A. Makse

Because of increasing global urbanization and its immediate consequences, including changes in patterns of food demand, circulation and land use, the next century will witness a major increase in the extent of paved roads built worldwide.…

Physics and Society · Physics 2017-10-13 Emanuele Strano , Andrea Giometto , Saray Shai , Enrico Bertuzzo , Peter J. Mucha , Andrea Rinaldo

While worldwide census data provide statistical evidence that firmly link the population density with several indicators of social welfare, the precise mechanisms underlying these observations are largely unknown. Here we study the impact…

Physics and Society · Physics 2012-05-03 Zhen Wang , Attila Szolnoki , Matjaz Perc

Easy and intuitive navigability is of central importance in cities. The actual scale-free networking of urban street networks in their topological space, where navigation information is encoded by mapping roads to nodes and junctions to…

Physics and Society · Physics 2019-10-03 Jerome Benoit , Saif Eddin Jabari

We examine salient trends of influenza pandemics in Australia, a rapidly urbanizing nation. To do so, we implement state-of-the-art influenza transmission and progression models within a large-scale stochastic computer simulation, generated…

The city is a complex system that evolves through its inherent social and economic interactions. Mediating the movements of people and resources, urban street networks offer a spatial footprint of these activities; consequently their…

Physics and Society · Physics 2018-04-19 Minjin Lee , Hugo Barbosa , Hyejin Youn , Petter Holme , Gourab Ghoshal

In the wake of the pandemic, the inadequacy of urban sidewalks to comply with social distancing remains untackled in academy. Beyond isolated efforts (from sidewalk widenings to car-free Open Streets), there is a need for a large-scale and…

Physics and Society · Physics 2020-09-29 Daniel Rhoads , Albert Solé-Ribalta , Marta C. González , Javier Borge-Holthoefer

We investigate whether the dynamical status of clusters is related to the large-scale structure of the Universe. We find that cluster substructure is strongly correlated with the tendency of clusters to be aligned with their nearest…

Astrophysics · Physics 2007-05-23 M. Plionis , S. Basilakos

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

Understanding the resilience of infrastructures such as transportation network has significant importance for our daily life. Recently, a homogeneous spatial network model was developed for studying spatial embedded networks with…

Physics and Society · Physics 2020-06-24 Bnaya Gross , Dana Vaknin , Sergey V. Buldyrev , Shlomo Havlin

The network metaphor in the analysis of urban and territorial cases has a long tradition especially in transportation/land-use planning and economic geography. More recently, urban design has brought its contribution by means of the "space…

Physics and Society · Physics 2009-11-11 Sergio Porta , Paolo Crucitti , Vito Latora

The random-cluster model, a correlated bond percolation model, unifies a range of important models of statistical mechanics in one description, including independent bond percolation, the Potts model and uniform spanning trees. By…

Statistical Mechanics · Physics 2016-01-28 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

Urban morphology has presented significant intellectual challenges to mathematicians and physicists ever since the eighteenth century, when Euler first explored the famous Konigsberg bridges problem. Many important regularities and scaling…

Physics and Society · Physics 2015-10-28 A. Paolo Masucci , Elsa Arcaute , Erez Hatna , Kiril Stanilov , Michael Batty

The hierarchy and proximity are key dimensions of urban relational processes, but their interplay in shaping intercity interactions and the underlying structures of city systems remain unclear. We develop a novel geometric model of city…

Physics and Society · Physics 2026-04-07 Zhaoya Gong , Bin Liu , Chenglong Wang , Pengjun Zhao , Xiang Li , Kaixiang Zhang , Changcheng Kan , Xingjian Liu
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