Spatial Networks

Beschreibung

This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks.
The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology.
This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and referenceon this topic for a wide range of students and professional researchers.
This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks.
The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology.
This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and referenceon this topic for a wide range of students and professional researchers.
Provides a comprehensive review of this interdisciplinary field Illustrates how graph theory and statistical physics can help solving practical problems Contains many examples of real-world applications from transportation networks to the brain

Autor*in

Marc Barthelemy

Themen in »Spatial Networks«

Spatial Networks Statistical Physics of Networks Applications of Graph Theory Transportation Networks road Networks Statistical Properties of Planar Graphs Properties of Real-world Networks Random Geometry Stochastic Geometry Random Graphs

Stimmen zu »Spatial Networks«

“This book, written by a statistical physicist, has the style of a survey rather than a mathematics textbook. It outlines numerous results (around 500 papers are cited) via descriptions of statistics and models and back-of-envelope calculations and simulation results together with real-world data examples. It is fairly technically undemanding, meaning mostly accessible to an advanced undergraduate mathematics student. … This book succeeds admirably in its stated ‘complete Introduction’ goal … .” (David J. Aldous, Mathematical Reviews, October, 2022)
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