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Mathematical Foundations of Complex Networked Information Systems

Politecnico di Torino, Verrès, Italy 2009

  • P.R. Kumar
  • Martin J. Wainwright
  • Riccardo Zecchina
  • Fabio Fagnani
  • Sophie M. Fosson
  • Chiara Ravazzi

Part of the Lecture Notes in Mathematics book series (LNM, volume 2141)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2141)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Fabio Fagnani, Sophie M. Fosson, Chiara Ravazzi
    Pages 1-26
  3. Carlo Baldassi, Alfredo Braunstein, Abolfazl Ramezanpour, Riccardo Zecchina
    Pages 27-49
  4. Back Matter
    Pages 137-138

About this book

Introduction

Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics. Complex networked systems play a fundamental role in our society, both in everyday life and in scientific research, with applications ranging from physics and biology to economics and finance.

The book is self-contained, and requires only an undergraduate mathematical background.

Keywords

05C80,05C85,05C90 Complex Networks Graphical Models Random Graphs Statistical Physics Wireless Networking

Authors and affiliations

  • P.R. Kumar
    • 1
  • Martin J. Wainwright
    • 2
  • Riccardo Zecchina
    • 3
  1. 1.CSL and Department of ECEUniversity of IllinoisUrbanaUSA
  2. 2.Department of StatisticsUC BerkeleyBerkeleyUSA
  3. 3.DISATPolitecnico di TorinoTorinoItaly

Editors and affiliations

  • Fabio Fagnani
    • 1
  • Sophie M. Fosson
    • 2
  • Chiara Ravazzi
    • 3
  1. 1.DISMAPolitecnico di TorinoTorinoItaly
  2. 2.DETPolitecnico di TorinoTorinoItaly
  3. 3.DETPolitecnico di TorinoTorinoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-16967-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-16966-8
  • Online ISBN 978-3-319-16967-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site