Mathematical Analysis of Urban Spatial Networks / Edition 1

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Overview

Cities can be considered to be among the largest and most complex artificial networks created by human beings. Due to the numerous and diverse human-driven activities, urban network topology and dynamics can differ quite substantially from that of natural networks and so call for an alternative method of analysis.

The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan.

Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers.

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Editorial Reviews

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“Focuses particularly on the applied aspects of complexity sciences, including the social, economic, behavioural and cognitive. … the results of each technique are clearly explained … and it would be possible to read the book for the relevance and impact of each method without getting stuck on the details of the formulae. … appear primarily to address an existing community of complexity scientists, graph theorists, and statistical physicists. In this, it does an excellent job … providing a valuable domain of application for this community.” (Sean Hanna, The Journal of Space Syntax, Vol. 2 (1), 2011)

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Product Details

  • ISBN-13: 9783540878285
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/1/2008
  • Series: Understanding Complex Systems Series
  • Edition description: 2009
  • Edition number: 1
  • Pages: 184
  • Product dimensions: 6.20 (w) x 9.40 (h) x 0.50 (d)

Table of Contents

1 Complex Networks of Urban Environments 1

2 Wayfinding and Affine Representations of Urban Environments 55

3 Exploring Community Structure by Diffusion Processes 101

4 Spectral Analysis of Directed Graphs and Interacting Networks 137

5 Urban Area Networks and Beyond 151

Bibligraphy 159

Index 177

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