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We investigate the growth dynamics of Greater London defined by the administrative boundary of the Greater London Authority, based on the evolution of its street network during the last two centuries. This is done by employing a unique…

数据分析、统计与概率 · 物理学 2015-06-05 A. Paolo Masucci , Kiril Stanilov , Michael Batty

Traffic networks have been proved to be fractal systems. However, previous studies mainly focused on monofractal networks, while complex systems are of multifractal structure. This paper is devoted to exploring the general regularities of…

物理与社会 · 物理学 2022-11-09 Yuqing Long , Yanguang Chen

In this paper we analyse the street network of London both in its primary and dual representation. To understand its properties, we consider three idealised models based on a grid, a static random planar graph and a growing random planar…

数据分析、统计与概率 · 物理学 2009-09-07 A. P. Masucci , D. Smith , A. Crooks , M. Batty

We study the growth of London's street-network in its dual representation, as the city has evolved over the last 224 years. The dual representation of a planar graph is a content-based network, where each node is a set of edges of the…

物理与社会 · 物理学 2015-06-18 A. Paolo Masucci , Kiril Stanilov , Michael Batty

A type of fractal dimension definition is based on the generalized entropy function. Both entropy and fractal dimension can be employed to characterize complex spatial systems such as cities and regions. Despite the inherent connect between…

物理与社会 · 物理学 2020-11-17 Yanguang Chen , Linshan Huang

Urbanization is a phenomenon of concern for planning and public health: projections are difficult because of policy changes and natural events, and indicators are multiple. There are previous studies of development that used fractals, but…

动力系统 · 数学 2023-10-31 Junze Yin

The fractal nature of graphs has traditionally been investigated by using the nodes of networks as the basic units. Here, instead, we propose to concentrate on the graph edges, and introduce a practical and computationally not demanding…

物理与社会 · 物理学 2017-04-05 Sarika Jalan , Alok Yadav , Camellia Sarkar , Stefano Boccaletti

This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain the fractal dimension of urban form. The…

物理与社会 · 物理学 2018-12-21 Yanguang Chen

Observations of galaxies over large distances reveal the possibility of a fractal distribution of their positions. The source of fractal behavior is the lack of a length scale in the two body gravitational interaction. However, even with…

数学物理 · 物理学 2007-05-23 Bruce N. Miller , Jean-Louis Rouet , Emmanuel Le Guirriec

We consider the general character of the spatial distribution of a population that grows through reproduction and subsequent local resettlement of new population members. We present several simple one and two-dimensional point placement…

斑图形成与孤子 · 物理学 2013-05-29 Jonathan Ozik , Brian R. Hunt , Edward Ott

Fractal structure of a system suggests the optimal way in which parts arranged or put together to form a whole. The ideas from fractals have a potential application to the researches on urban sustainable development. To characterize fractal…

物理与社会 · 物理学 2016-09-27 Yanguang Chen

Multifractal analysis offers a number of advantages to measure spatial economic segregation and inequality, as it is free of categories and boundaries definition problems and is insensitive to some shape-preserving changes in the variable…

物理与社会 · 物理学 2018-07-04 Hadrien Salat , Roberto Murcio , Keiji Yano , Elsa Arcaute

A recent method based on the concurrence of complex networks and multifractal analyses is applied for the first time to explore ground-level ozone behavior. Ozone time series are converted into complex networks for their posterior analysis.…

大气与海洋物理 · 物理学 2023-11-20 R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

Urban form and growth can be described with fractal dimension, which is a measurement of space filling of urban evolution. Based on empirical analyses, a discovery is made that the time series of fractal dimension of urban form can be…

物理与社会 · 物理学 2018-12-19 Yanguang Chen

Central place systems have been demonstrated to possess self-similar patterns in both the theoretical and empirical perspectives. A central place fractal can be treated as a monofractal with a single scaling process. However, in the real…

物理与社会 · 物理学 2018-12-19 Yanguang Chen

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…

物理与社会 · 物理学 2014-11-13 Alessandro Venerandi , Mattia Zanella , Ombretta Romice , Sergio Porta

A large variety of real systems are composed by entities in relationships which can be represented by networks. In many of these systems, elements are embedded in the space and location information impacts properties and evolution. Local…

物理与社会 · 物理学 2021-11-09 Michele Tirico , Stefan Balev , Antoine Dutot , Damien Olivier

One dominant aspect of cities is transport and massive passenger mobilization which remains a challenge with the increasing demand on the public as cities grow. In addition, public transport infrastructure suffers from traffic congestion…

物理与社会 · 物理学 2023-09-06 L. K. Eraso-Hernandez , A. P. Riascos , T. M. Michelitsch , J. Wang-Michelitsch

Predicting urban growth is important for practical reasons, and also for the challenge it presents to theoretical frameworks for cluster dynamics. Recently, the model of diffusion limited aggregation (DLA) has been applied to describe urban…

凝聚态物理 · 物理学 2007-05-23 Hernan A. Makse , Shlomo Havlin , H. Eugene Stanley

Empirical evidence suggest that most urban systems experience a transition from a monocentric to a polycentric organisation as they grow and expand. We propose here a stochastic, out-of-equilibrium model of the city which explains the…

物理与社会 · 物理学 2015-06-17 Rémi Louf , Marc Barthelemy
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