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A city is not a tree but a semi-lattice. To use a perhaps more familiar term, a city is a complex network. The complex network constitutes a unique topological perspective on cities and enables us to better understand the kind of problem a…

Physics and Society · Physics 2020-09-04 Bin Jiang

Humans inhabit a world defined by interactions -- with other humans, objects, and environments. These interactive movements not only convey our relationships with our surroundings but also demonstrate how we perceive and communicate with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Kewei Sui , Anindita Ghosh , Inwoo Hwang , Bing Zhou , Jian Wang , Chuan Guo

During the last decades, the study of cities has been transformed by new approaches combining engineering and complexity sciences. Network theory is playing a central role, facilitating the quantitative analysis of crucial urban dynamics,…

Physics and Society · Physics 2021-03-31 Aniello Lampo , Javier Borge-Holthoefer , Sergio Gómez , Albert Solé-Ribalta

In this paper, we derive a topological pattern of urban street networks using a large sample (the largest so far to the best of our knowledge) of 40 U.S. cities and a few more from elsewhere of different sizes. It is found that all the…

Data Analysis, Statistics and Probability · Physics 2013-08-08 Bin Jiang

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

We analyze the public transport networks (PTNs) of a number of major cities of the world. While the primary network topology is defined by a set of routes each servicing an ordered series of given stations, a number of different…

Physics and Society · Physics 2009-11-13 Christian von Ferber , Taras Holovatch , Yurij Holovatch , Vasyl Palchykov

Urban theorists, social reformists and philosophers have considered the city as a living organism since Plato. However, despite extraordinary advancements in evolutionary biology, now being used to explain social and cultural phenomena, a…

Social interactions vary in time and appear to be driven by intrinsic mechanisms, which in turn shape the emerging structure of the social network. Large-scale empirical observations of social interaction structure have become possible only…

Physics and Society · Physics 2015-12-09 Guillaume Laurent , Jari Saramäki , Márton Karsai

Mobility is a fundamental feature of human life, and through it our interactions with the world and people around us generate complex and consequential social phenomena. Social segregation, one such process, is increasingly acknowledged as…

Physics and Society · Physics 2025-05-23 Yitao Yang , Erjian Liu , Bin Jia , Ed Manley

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

Physics and Society · Physics 2010-07-16 Kimmo Kaski

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

The spatial character of territorial systems plays a crucial role in the emergence of their complexities. This contribution aims at illustrating to what extent different types of complexities can be exhibited in models of such systems. We…

Physics and Society · Physics 2019-01-29 Juste Raimbault

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

The microbiome constitutes a complex microbial ecology of interacting components that regulates important pathways in the host. Measurements of microbial abundances are key to learning the intricate network of interactions amongst microbes.…

Methodology · Statistics 2024-06-17 Veronica Vinciotti , Ernst Wit , Francisco Richter

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

Physics and Society · Physics 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

Self-organisation in territories leads to the emergence of patterns in urban systems that shape the interactions between cities, resulting in a hierarchical organisation. Governance follows as well a hierarchical structure, breaking the…

Physics and Society · Physics 2023-02-13 Valentina Marin , Carlos Molinero , Elsa Arcaute

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

Urban mobility systems are composed multiple elements with strong interactions, i.e. their future is co-determined by the state of other elements. Thus, studying components in isolation, i.e. using a reductionist approach, is inappropriate.…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Carlos Gershenson