Morphogenesis of Spatial Networks

Provides the first comprehensive presentation of state-of-the-art knowledge about infrastructure networks

Covers both empirical results and theoretical models

Addresses a broad audience comprising physicists, geographers, urbanists as well as applied mathematicians

Presents a truly interdisciplinary approach to the topic

Autorentext

Marc Barthelemy is a former student of the Ecole Normale Superieure of Paris. In 1992, He graduated at the University of Paris VI with a thesis in theoretical physics titled "Random walks in random media". After his thesis, he focused on disordered systems and their properties, and since 1992, he have held a permanent position at the CEA. Presently, Marc Barthelemy is a research director at the Institute of Theoretical Physics (IPhT) in Saclay and a member of the Center of Social Analysis and Mathematics (CAMS) at the Ecole des Hautes Etudes en Sciences Sociales (EHESS). His research interests moved towards applications of statistical physics to complex systems, complex networks, theoretical epidemiology, and more recently on spatial networks. Focusing on both data analysis and modeling with the tools of statistical physics, Barthelemy is currently also working on various aspects of the emerging science of cities.

Inhalt
From complex to spatial networks.- Irrelevant and simple measures.- Statistics of faces and typology of planar graphs.- Betweenness centrality.- Simplicity and entropy.- Spatial dominance and community detection.- Measuring the time evolution of spatial networks.- Tessellations of the plane.- Random geometric graphs.- Spatial generalizations of random graphs.- Loops and branches.- Optimal networks.- Models of Network growth.- Greedy models.- Discussion and future directions