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Chaos associated with bifurcation makes a new science, but the origin and essence of chaos are not yet clear. Based on the well-known logistic map, chaos used to be regarded as intrinsic randomicity of determinate dynamics systems. However,…

Physics and Society · Physics 2017-07-13 Yanguang Chen

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

Analysis of the urban population fraction data for sixteen populous countries over the last fifty years reveals a universal increase in urbanization, exhibiting four qualitatively distinct temporal patterns: (i) continuously accelerating…

Physics and Society · Physics 2026-01-06 Neeraj Pandey , Abhineet Agarwal , Raju Roychowdhury , Karmeshu , Parth Pratim Pandey

In 2012 the world's population exceeded 7 billion, and since 2008 the number of individuals living in urban areas has surpassed that of rural areas. This is the result of an overall increase of life expectancy in many countries that has…

Physics and Society · Physics 2015-12-14 Filippo Simini , Charlotte James

Urbanization has been the dominant demographic trend in the entire world, during the last half century. Rural to urban migration, international migration, and the re-classification or expansion of existing city boundaries have been among…

Physics and Society · Physics 2013-12-19 Philippe Blanchard , Dimitri Volchenkov

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

Physics and Society · Physics 2016-06-14 Yanguang Chen , Feng Xu

Many socioeconomic studies have been carried out to explain the phenomenon of gentrification. Although results of these works shed light on the process around this phenomenon, a perspective which focuses on the relationship between city…

Physics and Society · Physics 2014-11-13 Alessandro Venerandi , Mattia Zanella , Ombretta Romice , Sergio Porta

There is strong expectation that cities, across time, culture and level of development, share much in common in terms of their form and function. Recently, attempts to formalize mathematically these expectations have led to the hypothesis…

Physics and Society · Physics 2013-01-28 Luis M. A. Bettencourt , Jose Lobo , Hyejin Youn

Humans are the ultimate ecosystem engineers who have profoundly transformed the world's landscapes in order to enhance their survival. Somewhat paradoxically, however, sometimes the unforeseen effect of this ecosystem engineering is the…

Populations and Evolution · Quantitative Biology 2018-01-15 José F. Fontanari

Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logistic function. The logistic model implies a…

Physics and Society · Physics 2018-12-19 Yanguang Chen

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…

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

We study ghetto formation in a population with natives and immigrants in the framework of the two-dimensional Ising-model with Kawasaki-exchange dynamics. It is the phase structure of the Ising model, the integration speed and the…

Condensed Matter · Physics 2009-11-07 Hildegard Meyer-Ortmanns

Since the Industrial Revolution, the world economy has experienced rapid development, and China's economy has also achieved an unprecedented takeoff in the past. Behind the economic growth, population surge, and continuous improvement of…

General Economics · Economics 2025-11-17 Chao Zhang , Yulin Lu

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

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

Understanding human mobility patterns -- how people move in their everyday lives -- is an interdisciplinary research field. It is a question with roots back to the 19th century that has been dramatically revitalized with the recent increase…

Physics and Society · Physics 2017-02-08 Minjin Lee , Petter Holme

Knowing and modelling the migration phenomena and especially the social and economic consequences have a theoretical and practical importance, being related to their consequences for development, economic progress (or as appropriate,…

General Finance · Quantitative Finance 2012-02-07 Anca Gheorghiu , Ion Spanulescu

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

Urbanization plays a crucial role in the economic development of every country. The mutual relationship between the urbanization of any country and its economic productive structure is far from being understood. We analyzed the historical…

Physics and Society · Physics 2021-02-18 Riccardo Di Clemente , Emanuele Strano , Michael Batty
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