A Guide To Temporal Networks

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A Guide To Temporal Networks

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ISBN: 9781786341143
autor: Naoki Masuda / Renaud Lambiotte
editora: World Scientific Publishing Company
data de publicação: 2016 -9
preço: GBP 81.00
número de páginas: 252

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Series on Complexity Science

Naoki Masuda / Renaud Lambiotte   

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Network science offers a powerful language to represent and study complex systems composed of interacting elements — from the Internet to social and biological systems. In its standard formulation, this framework relies on the assumption that the underlying topology is static, or changing very slowly as compared to dynamical processes taking place on it, e.g., epidemic spreading or navigation. Fuelled by the increasing availability of longitudinal networked data, recent empirical observations have shown that this assumption is not valid in a variety of situations. Instead, often the network itself presents rich temporal properties and new tools are required to properly describe and analyse their behaviour.
A Guide to Temporal Networks presents recent theoretical and modelling progress in the emerging field of temporally varying networks, and provides connections between different areas of knowledge required to address this multi-disciplinary subject. After an introduction to key concepts on networks and stochastic dynamics, the authors guide the reader through a coherent selection of mathematical and computational tools for network dynamics. Perfect for students and professionals, this book is a gateway to an active field of research developing between the disciplines of applied mathematics, physics and computer science, with applications in others including social sciences, neuroscience and biology.

conteúdos

Contents:
Introduction
Mathematical Toolbox
Static Networks
Analysis of Temporal Networks
Models of Temporal Networks
Dynamics on Temporal Networks
Appendices:
Discrete-Time Random Walks on the Line
Transient and Absorbing States of Markov Chains
Derivation of the Degree Distribution of the Barabási-Albert Model
Bibliography

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