Chapter 2. Statistical Mechanics of Complex Networks

  1. PD Dr. habil. Matthias Dehmer3,4,
  2. Prof. Dr. Frank Emmert-Streib5
  1. Stefan Thurner1,2

Published Online: 21 AUG 2009

DOI: 10.1002/9783527627981.ch2

Analysis of Complex Networks: From Biology to Linguistics

Analysis of Complex Networks: From Biology to Linguistics

How to Cite

Thurner, S. (2009) Statistical Mechanics of Complex Networks, in Analysis of Complex Networks: From Biology to Linguistics (eds M. Dehmer and F. Emmert-Streib), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627981.ch2

Editor Information

  1. 3

    Vienna University of Technology, Discrete Mathematics and Geometry, Wiedner Hauptstraße 8–10, 1040 Vienna, Austria

  2. 4

    University of Coimbra, Center for Mathematics, Apartado 3008, 3001-454 Coimbra, Portugal

  3. 5

    Computational Biology and Machine Learning, Center for Cancer Research and Cell Biology, School of Medicine, Dentistry and Biomedical Sciences, Queen's University Belfast, 97 Lisburn Road, Belfast, BT9 7BL, UK

Author Information

  1. 1

    Medical University of Vienna, Complex Systems Research Group, Währinger Gürtel 18–20, 1090 Vienna, Austria

  2. 2

    Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA

Publication History

  1. Published Online: 21 AUG 2009
  2. Published Print: 22 APR 2009

ISBN Information

Print ISBN: 9783527323456

Online ISBN: 9783527627981

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Keywords:

  • statistical mechanics;
  • complex networks;
  • network entropies;
  • Hamiltonians of networks;
  • network thermodynamics;
  • random networks;
  • superstatistics

Summary

This chapter contains sections titled:

  • Introduction

  • Macroscopics: Entropies for Networks

  • Microscopics: Hamiltonians of Networks – Network Thermodynamics

  • Ensembles of Random Networks – Superstatistics

  • Conclusion

  • References