Mathematical Analysis of Urban Spatial Networks / Edition 1

Mathematical Analysis of Urban Spatial Networks / Edition 1

by Philippe Blanchard, Dimitri Volchenkov
     
 

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

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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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Product Details

ISBN-13:
9783540878285
Publisher:
Springer Berlin Heidelberg
Publication date:
12/01/2008
Series:
Understanding Complex Systems Series
Edition description:
2009
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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