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Mathematical Technology of Networks

Bielefeld, December 2013

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Delio Mugnolo

    1. Lehrgebiet Analysis, FernUniversität in Hagen, Hagen, Germany

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  • Cutting edge research on a trending topic in the field
  • Interdisciplinary approach brings together research from the fields of mathematical physics, random walks, operator theory and complex systems
  • Contributors represent a range of academic disciplines

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 128)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Lack of Ground State for NLSE on Bridge-Type Graphs

    • Riccardo Adami, Enrico Serra, Paolo Tilli
    Pages 1-11

  3. Instability of Stationary Solutions of Evolution Equations on Graphs Under Dynamical Node Transition

    • Joachim von Below, Baptiste Vasseur
    Pages 13-26

  4. Statistical Characterization of a Small World Network Applied to Forest Fires

    • Fatima Zahra Benzahra Belkacem, Noureddine Zekri, Mekki Terbeche
    Pages 27-37

  5. Network Dynamics as an Inverse Problem

    • Jose Casadiego, Marc Timme
    Pages 39-48

  6. Dynamics on a Graph as the Limit of the Dynamics on a “Fat Graph”

    • Gianfausto Dell’Antonio, Alessandro Michelangeli
    Pages 49-64

  7. Spectral Inequalities for Quantum Graphs

    • Semra Demirel-Frank
    Pages 65-80

  8. Intrinsic Metrics on Graphs: A Survey

    • Matthias Keller
    Pages 81-119

  9. Spectral Gap for Complete Graphs: Upper and Lower Estimates

    • Pavel Kurasov
    Pages 121-132

  10. Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators

    • Anton A. Kutsenko
    Pages 133-136

  11. Identifying Key Nodes in Social Networks Using Multi-Criteria Decision-Making Tools

    • Iman Mesgari, Mehrdad Agha Mohammad Ali Kermani, Robert Hanneman, Alireza Aliahmadi
    Pages 137-150

  12. On Band-Gap Structure of Spectrum in Network Double-Porosity Models

    • Svetlana E. Pastukhova
    Pages 151-174

  13. Spectra, Energy and Laplacian Energy of Strong Double Graphs

    • Shariefuddin Pirzada, Hilal A. Ganie
    Pages 175-189

  14. System/Environment Duality of Nonequilibrium Network Observables

    • Matteo Polettini
    Pages 191-205
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Keywords

About this book

Dynamical models on graphs or random graphs are increasingly used in applied sciences as mathematical tools to study complex systems whose exact structure is too complicated to be known in detail. Besides its importance in applied sciences, the field is increasingly attracting the interest of mathematicians and theoretical physicists also because of the fundamental phenomena (synchronization, phase transitions etc.) that can be studied in the relatively simple framework of dynamical models of random graphs. This volume was developed from the Mathematical Technology of Networks conference held in Bielefeld, Germany in December 2013. The conference was designed to bring together functional analysts, mathematical physicists, and experts in dynamical systems. The contributors to this volume explore the interplay between theoretical and applied aspects of discrete and continuous graphs.  Their work helps to close the gap between different avenues of research on graphs, including metric graphs and ramified structures.

Editors and Affiliations

  • Lehrgebiet Analysis, FernUniversität in Hagen, Hagen, Germany

    Delio Mugnolo

About the editor

Delio Mugnolo is an assistant professor at the Institute of Applied Analysis at Ulm University. He completed his postdoctoral studies at the Department of Mathematics at the University of Bari, Italy, and earned his Ph.D. in Mathematics at the University of Tübingen, Germany. Since 2009, he has been a Fellow of the Young ZiF (Zentrum für interdisziplinäre Forschung) at Bielefeld University.

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