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We propose a constructive and dynamical redefinition of spatial structure, grounded in the interplay between mechanical evolution and observational acts. Rather than presupposing space as a static background, we interpret space as an…

Quantum Physics · Physics 2025-08-12 So Katagiri

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…

Statistical Mechanics · Physics 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

Understanding how built environments shape human experience is central to designing sustainable cities. Cycling provides a critical case: it delivers health and environmental benefits, yet its uptake depends strongly on the experience of…

Computers and Society · Computer Science 2025-09-22 Haining Ding , Chenxi Wang , Michal Gath-Morad

Orderliness, reflected via mathematical laws, is encountered in different frameworks involving social groups. Here we show that a thermodynamics can be constructed that macroscopically describes urban population flows. Microscopic dynamic…

Physics and Society · Physics 2015-04-30 A. Hernando , A. Plastino

A model to describe the arising of new structures in an initial homogeneous biological system is proposed. The essay is motivated by the intention to work on a non-equilibrium situation grouping together several mechanisms and processes as:…

Biological Physics · Physics 2007-05-23 P. C. T. Dajello , P. R. Hauser

Life, services and activities within cities have commonly been studied by separate disciplines, each one independent from the others. One such approach is the computer simulation, which enables in-depth modelling and cost-effective…

Physics and Society · Physics 2021-10-18 Irene Meta , Fernando M. Cucchietti , Diego Navarro , Eduardo Graells-Garrido , Vicente Guallart

Understanding quantitative relationships between urban elements is crucial for a wide range of applications. The observation at the macroscopic level demonstrates that the aggregated urban quantities (e.g., gross domestic product) scale…

Physics and Society · Physics 2021-01-26 Lei Dong , Zhou Huang , Jiang Zhang , Yu Liu

Agglomeration economies drive urban growth at different spatial scales by enabling productivity gains, knowledge spillovers, and shared inputs among proximate firms and amenities. To develop a unified science of cities it is thus important…

Physics and Society · Physics 2026-05-12 Jianrui Wu , Baiyue He , Alec Kirkley

Cities and metropolitan areas are major drivers of creativity and innovation in all possible sectors: scientific, technological, social, artistic, etc. The critical concentration and proximity of diverse mindsets and opportunities,…

Physics and Society · Physics 2023-07-07 Matteo Straccamore , Vittorio Loreto , Pietro Gravino

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…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hernan A. Makse , Jose S. Andrade , Michael Batty , Shlomo Havlin , H. Eugene Stanley

Economic activities favor mutual geographical proximity and concentrate spatially to form cities. In a world of diminishing transport costs, however, the advantage of physical proximity is fading, and the role of cities in the economy may…

General Economics · Economics 2021-01-11 Tomoya Mori , Minoru Osawa

The dynamics of city's spatial structures are determined by the coupling of functional components (such as restaurants and shops) and human beings within the city. Yet, there still lacks mechanism models to quantify the spatial distribution…

In the last decades, the notion that cities are in a state of equilibrium with a centralised organisation has given place to the viewpoint of cities in disequilibrium and organised from bottom to up. In this perspective, cities are evolving…

Computers and Society · Computer Science 2018-11-05 Marcos Oliveira , Eraldo Ribeiro , Carmelo Bastos-Filho , Ronaldo Menezes

Dispersal is a well recognized driver of ecological and evolutionary dynamics, and simultaneously an evolving trait. Dispersal evolution has traditionally been studied in single-species metapopulations so that it remains unclear how…

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

Complex systems have become a popular lens for analyzing cities and complexity theory has many implications for urban performance and resilience. This paper develops a typology of measures and indicators for assessing the physical…

Physics and Society · Physics 2018-10-05 Geoff Boeing

The process of urbanization is one of the most important phenomenon of our societies and it is only recently that the availability of massive amounts of geolocalized historical data allows us to address quantitatively some of its features.…

Physics and Society · Physics 2017-10-20 Giulia Carra , Marc Barthelemy

Urban displacement - when a household is forced to relocate due to conditions affecting its home or surroundings - often results from rising housing costs, particularly in wealthy, prosperous cities. However, its dynamics are complex and…

Physics and Society · Physics 2018-08-29 Geoff Boeing

Most cities in the US and in the world were organized around car traffic. In particular, large structures such as urban freeways or ring roads were built for reducing car traffic congestion. With the evolution of public transportation,…

Physics and Society · Physics 2023-03-29 Erwan Taillanter , Marc Barthelemy

Human mobility is a fundamental process underpinning socioeconomic life and urban structure. Classic theories, such as egocentric activity spaces and central place theory, provide crucial insights into specific facets of movement, like…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao
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