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Markov Chain Methods for Analyzing Urban Networks

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Abstract

Complex transport networks abstracted as graphs (undirected, directed, or multi-component) can be effectively analyzed by random walks (or diffusions). We have unified many concepts into one framework and studied in details the structural and spectral properties of spatial graphs for five compact urban patterns.

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Volchenkov, D., Blanchard, P. Markov Chain Methods for Analyzing Urban Networks. J Stat Phys 132, 1051–1069 (2008). https://doi.org/10.1007/s10955-008-9591-2

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