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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…

社会与信息网络 · 计算机科学 2015-09-29 Harry Crane , Walter Dempsey

We undertake an exploration of the economic income (Gross Domestic Product, GDP) of Indian districts and cities based on scaling analyses of the dependence of these quantities on associated population size. Scaling analysis provides a…

物理与社会 · 物理学 2020-03-25 Anand Sahasranaman , Luis M. A. Bettencourt

We propose and test a model that describes the morphology of cities, the scaling of the urban perimeter of individual cities, and the area distribution of systems of cities. The model is also consistent with observable urban growth…

无序系统与神经网络 · 物理学 2009-10-31 Hernan A. Makse , Jose S. Andrade , Michael Batty , Shlomo Havlin , H. Eugene Stanley

Time evolutions of number of cities, population of cities, world population, and size distribution of present languages are studied in terms of a new model, where population of each city increases by a random rate and decreases by a random…

物理与社会 · 物理学 2016-12-27 Caglar Tuncay

This chapter is about Complexity and Spatial Dynamics in Urban Systems. Strong inequalities in the size of cities and the apparent difficulty of limiting their growth raise practical issues for spatial planning. At a time when new…

物理与社会 · 物理学 2020-10-29 Juste Raimbault , Denise Pumain

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

统计力学 · 物理学 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

We report on a quantitative analysis of relationships between the number of homicides, population size and other ten urban metrics. By using data from Brazilian cities, we show that well defined average scaling laws with the population size…

物理与社会 · 物理学 2013-09-26 Luiz G. A. Alves , Haroldo V. Ribeiro , Ervin K. Lenzi , Renio S. Mendes

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…

物理与社会 · 物理学 2014-02-04 Gerald F. Frasco , Jie Sun , Hernan D. Rozenfeld , Daniel ben-Avraham

Quantifying the spatial organization of human settlements is fundamental to understanding the complexity of urban systems. However, the quantitative patterns of the distribution of villages, towns, and cities that lie between random and…

物理与社会 · 物理学 2023-07-06 Lei Dong

Urban evolution processes occur at different scales, with intricate interactions between levels and relatively distinct type of processes. To what extent actual urban dynamics include an actual strong coupling between scales, in the sense…

物理与社会 · 物理学 2021-02-01 Juste Raimbault

Migration plays a crucial role in urban growth. Over time, individuals opting to relocate led to vast metropolises like London and Paris during the Industrial Revolution, Shanghai and Karachi during the last decades and thousands of smaller…

物理与社会 · 物理学 2025-04-03 Rafael Prieto-Curiel , Carmen Cabrera-Arnau

Evidences are presented concerning tantalizing regularities in cities' population-flows in what regards to space and time correlations. The former exhibit a distance-behavior (for large distances) compatible with the inverse square law,…

应用统计 · 统计学 2012-07-30 A. Hernando , A. Plastino

How does the shape of a network change as its size increases? Although random graph models provide some expectations for such "scaling behaviors" in the structure of networks, relatively little is known about how empirical network structure…

社会与信息网络 · 计算机科学 2026-03-24 Upasana Dutta , Alexander Ray , Aaron Clauset

Acceptance of an innovation can occur through mutliple exposures to individuals who have already accepted it. Presented here is a model to trace the evolution of an innovation in a social network with a preference $\lambda$, amidst…

物理与社会 · 物理学 2014-08-22 Varsha S. Kulkarni

Understanding demographic and migrational patterns constitutes a great challenge. Millions of individual decisions, motivated by economic, political, demographic, rational, and/or emotional reasons underlie the high complexity of…

物理与社会 · 物理学 2013-12-09 A. Hernando , R. Hernando , A. Plastino

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

物理与社会 · 物理学 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

As of 2014, 54% of the earth's population resides in urban areas, and it is steadily increasing, expecting to reach 66% by 2050. Urban areas range from small cities with tens of thousands of people to megacities with greater than 10 million…

计算机与社会 · 计算机科学 2017-05-08 Klara Nahrstedt , Christos G. Cassandras , Charlie Catlett

Understanding and potentially predicting or even controlling urban labour markets represents a great challenge for workers and policy makers alike. Cities are effective engines of economic growth and prosperity and incubate complex dynamics…

物理与社会 · 物理学 2022-02-28 Xiangnan Feng , Alex Rutherford

Socio-diversity, the variety of human opinions, ideas, behaviors and styles, has profound implications for social systems. While it fuels innovation, productivity, and collective intelligence, it can also complicate communication and erode…

物理与社会 · 物理学 2024-02-19 Andrea Musso , Dirk Helbing

We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed [Phys.…

统计力学 · 物理学 2009-11-07 Miroslav Kotrla , Frantisek Slanina , Jakub Steiner