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Cities are living organisms. They are out of equilibrium, open systems that never stop developing and sometimes die. The local geography can be compared to a shell constraining its development. In brief, a city's current layout is a step in…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Thomas Courtat , Catherine Gloaguen , Stephane Douady

Cities can be seen as the epitome of complex systems. They arise from a set of interactions and components so diverse that is almost impossible to describe them exhaustively. Amid this diversity, we chose an object which orchestrates the…

Physics and Society · Physics 2015-12-07 Claire Lagesse

The encoding of cities into non-planar dual graphs reveals their complex structure. We investigate the statistics of the typical space syntax measures for the five different compact urban patterns. Universal statistical behavior of space…

Physics and Society · Physics 2007-09-28 D. Volchenkov , Ph. Blanchard

We compare the structural properties of the street networks of ten different European cities using their primal representation. We investigate the properties of the geometry of the networks and a set of centrality measures highlighting…

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

Spatial organisation of physical form of an urban system, or city, both manifests and influences the way its social form functions. Mathematical quantification of the spatial pattern of a city is, therefore, important for understanding…

Physics and Society · Physics 2019-09-04 Hoai Nguyen Huynh

We study centrality in urban street patterns of different world cities represented as networks in geographical space. The results indicate that a spatial analysis based on a set of four centrality indices allows an extended visualization…

Physics and Society · Physics 2009-11-11 Paolo Crucitti , Vito Latora , Sergio Porta

I propose and briefly define the concept of Urban Isobenefit Lines by using functions as easy as efficient, whose results can offer a rich tool to use into spatial equilibrium analysis involving cities. They are line joining urban points…

General Finance · Quantitative Finance 2013-09-20 Luca D'Acci

Degree distributions of graph representations for compact urban patterns are scale-dependent. Therefore, the degree statistics alone does not give us the enough information to reach a qualified conclusion on the structure of urban spatial…

Physics and Society · Physics 2007-09-28 D. Volchenkov , Ph. Blanchard

Urban planning and morphology have relied on analytical cartography and visual communication tools for centuries to illustrate spatial patterns, propose designs, compare alternatives, and engage the public. Classic urban form visualizations…

Physics and Society · Physics 2019-10-02 Geoff Boeing

The map of a city's streets constitutes a particular case of spatial complex network. However a city is not limited to its topology: it is above all a geometrical object whose particularity is to organize into short and long axes called…

Physics and Society · Physics 2011-06-03 Thomas Courtat , Catherine Gloaguen , Stéphane Douady

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

Recent theoretical and empirical studies have focused on the structural properties of complex relational networks in social, biological and technological systems. Here we study the basic properties of twenty 1-square-mile samples of street…

Physics and Society · Physics 2009-11-11 Alessio Cardillo , Salvatore Scellato , Vito Latora , Sergio Porta

Configurational analysis can be seen as the adaptation to urban space of complex network approaches already developed in social network analysis (Freeman 1979). Its central idea is that elements of urban form should be analysed with respect…

Physics and Society · Physics 2021-11-09 Giovanni Fusco , Michele Tirico

Understanding the morphology of an urban system is an important step toward unveiling the dynamical processes of its growth and development. At the foundation of every urban system, transportation system is undeniably a crucial component in…

Physics and Society · Physics 2019-04-23 Hoai Nguyen Huynh , Evgeny Makarov , Erika Fille Legara , Christopher Monterola , Lock Yue Chew

Urban space is highly heterogeneous, with population and human activities concentrating in localized centers. However, the global organization of such intra-urban centers remains poorly understood due to the lack of consistent, comparable…

Physics and Society · Physics 2026-01-21 Shuai Pang , Junlong Zhang , Yu Liu , Lei Dong

A realization of a graph $G=(V,E)$ is a map $v\colon V\to\Bbb R^d$ that assigns to each vertex a point in $d$-dimensional Euclidean space. We study graph realizations from the perspective of representation theory (expressing certain…

Combinatorics · Mathematics 2020-09-04 Martin Winter

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

Accurate traffic prediction is a key ingredient to enable traffic management like rerouting cars to reduce road congestion or regulating traffic via dynamic speed limits to maintain a steady flow. A way to represent traffic data is in the…

Machine Learning · Computer Science 2022-08-30 Luca Hermes , Barbara Hammer , Andrew Melnik , Riza Velioglu , Markus Vieth , Malte Schilling

Urban development is shaped by historical, geographical, and economic factors, presenting challenges for planners in understanding urban form. This study models commute flows across multiple U.S. cities, uncovering consistent patterns in…

Physics and Society · Physics 2024-11-11 Margarita Mishina , Mingyi He , Venu Garikapati , Stanislav Sobolevsky
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