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Given the importance of urban sustainability and resilience to the future of our planet, there is a need to better understand the interconnectedness between the social, economic, environmental, and governance outcomes that underline these…

物理与社会 · 物理学 2019-04-15 Anand Sahasranaman , Henrik Jeldtoft Jensen

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

By analyzing a large data set of daily returns with data clustering technique, we identify economic sectors as clusters of assets with a similar economic dynamics. The sector size distribution follows Zipf's law. Secondly, we find that…

统计力学 · 物理学 2008-12-02 Matteo Marsili

This paper explores the relationship between the inner economical structure of communities and their population distribution through a rank-rank analysis of official data, along statistical physics ideas within two techniques. The data is…

经济学 · 定量金融 2015-08-17 Roy Cerqueti , Marcel Ausloos

The different between the inverse power function and the negative exponential function is significant. The former suggests a complex distribution, while the latter indicates a simple distribution. However, the association of the power-law…

物理与社会 · 物理学 2018-12-19 Yanguang Chen

The evolution of open source software projects in Linux distributions offers a remarkable example of a growing complex self-organizing adaptive system, exhibiting Zipf's law over four full decades. We present three tests of the usually…

数据分析、统计与概率 · 物理学 2014-08-26 T. Maillart , D. Sornette , S. Spaeth , G. Von Krogh

The current science of cities can provide a useful foundation for future urban policies, provided that these proposals have been validated by correct observations of the diversity of situations in the world. However, international…

物理与社会 · 物理学 2020-05-21 Juste Raimbault , Eric Denis , Denise Pumain

An important issue in the study of cities is defining a metropolitan area, as different definitions affect the statistical distribution of urban activity. A commonly employed method of defining a metropolitan area is the Metropolitan…

Urban outputs, from economy to innovation, are known to grow as a power of a city's population. But, since large cities tend to be central in transportation and communication networks, the effects attributed to city size may be confounded…

物理与社会 · 物理学 2024-06-24 Xiaofan Liang , César A. Hidalgo , Pierre-Alexandre Balland , Siqi Zheng , Jianghao Wang

More than a half of world population is now living in cities and this number is expected to be two-thirds by 2050. Fostered by the relevancy of a scientific characterization of cities and for the availability of an unprecedented amount of…

物理与社会 · 物理学 2015-09-21 Luiz G. A. Alves , Renio S. Mendes , Ervin K. Lenzi , Haroldo V. Ribeiro

We address the general problem of testing a power law distribution versus a log-normal distribution in statistical data. This general problem is illustrated on the distribution of the 2000 US census of city sizes. We provide definitive…

数据分析、统计与概率 · 物理学 2015-05-14 Y. Malevergne , V. Pisarenko , D. Sornette

Background: Zipf's law and Heaps' law are observed in disparate complex systems. Of particular interests, these two laws often appear together. Many theoretical models and analyses are performed to understand their co-occurrence in real…

数据分析、统计与概率 · 物理学 2010-12-20 Linyuan Lu , Zi-Ke Zhang , Tao Zhou

Statistical laws describe regular patterns observed in diverse scientific domains, ranging from the magnitude of earthquakes (Gutenberg-Richter law) and metabolic rates in organisms (Kleiber's law), to the frequency distribution of words in…

物理与社会 · 物理学 2025-02-14 Eduardo G. Altmann

We study a few dynamical systems composed of many components whose sizes evolve according to multiplicative stochastic rules. We compare them with respect to the emergence of power laws in the size distribution of their components. We show…

统计力学 · 物理学 2007-05-23 Aharon Blank , Sorin Solomon

We study the scaling of (i) numbers of workers and aggregate incomes by occupational categories against city size, and (ii) total incomes against numbers of workers in different occupations, across the functional metropolitan areas of…

物理与社会 · 物理学 2019-10-17 Somwrita Sarkar , Elsa Arcaute , Erez Hatna , Tooran Alizadeh , Glen Searle , Michael Batty

We consider a simple model of firm/city/etc. growth based on a multi-item criterion: whenever entity B fares better that entity A on a subset of $M$ items out of $K$, the agent originally in A moves to B. We solve the model analytically in…

统计力学 · 物理学 2018-04-11 José Moran , Jean-Philippe Bouchaud

Human mobility patterns deeply affect the dynamics of many social systems. In this paper, we empirically analyze the real-world human movements based GPS records, and observe rich scaling properties in the temporal-spatial patterns as well…

物理与社会 · 物理学 2015-06-15 Xiang-Wen Wang , Xiao-Pu Han , Bing-Hong Wang

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.…

物理与社会 · 物理学 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

This study downscales the population and gross domestic product (GDP) scenarios given under Shared Socioeconomic Pathways (SSPs) into 0.5-degree grids. Our downscale approach has the following features: (i) it explicitly considers spatial…

应用统计 · 统计学 2017-04-14 Daisuke Murakami , Yoshiki Yamagata

Commuting is a key mechanism that governs the dynamics of cities. Despite its importance, very little is known of the properties and mechanisms underlying this crucial urban process. Here, we capitalize on $\sim$ 50 million individuals'…

物理与社会 · 物理学 2022-04-28 Lei Dong , Paolo Santi , Yu Liu , Siqi Zheng , Carlo Ratti