Mathematical Analysis of Urban Spatial Networks

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 meth...

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Bibliographic Details
Main Authors: Blanchard, Philippe, Volchenkov, Dimitri (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:1st ed. 2009
Series:Understanding Complex Systems
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Mathematical Analysis of Urban Spatial Networks  |h Elektronische Ressource  |c by Philippe Blanchard, Dimitri Volchenkov 
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300 |a XIV, 184 p. 123 illus., 16 illus. in color  |b online resource 
505 0 |a Complex Networks of Urban Environments -- Wayfinding and Affine Representations of Urban Environments -- Exploring Community Structure by Diffusion Processes -- Spectral Analysis of Directed Graphs and Interacting Networks -- Urban Area Networks and Beyond 
653 |a Applied mathematics 
653 |a Cities, Countries, Regions 
653 |a Engineering mathematics 
653 |a Statistical Physics and Dynamical Systems 
653 |a Statistical physics 
653 |a Landscape/Regional and Urban Planning 
653 |a Regional planning 
653 |a Applications of Mathematics 
653 |a Human geography 
653 |a Architecture 
653 |a Complex Systems 
653 |a Urban planning 
653 |a Human Geography 
653 |a Dynamical systems 
700 1 |a Volchenkov, Dimitri  |e [author] 
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520 |a 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