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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

2015 | OriginalPaper | Buchkapitel

Lack of Ground State for NLSE on Bridge-Type Graphs

Riccardo Adami, Enrico Serra, Paolo Tilli

2015 | OriginalPaper | Buchkapitel

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

Joachim von Below, Baptiste Vasseur

2015 | OriginalPaper | Buchkapitel

Statistical Characterization of a Small World Network Applied to Forest Fires

Fatima Zahra Benzahra Belkacem, Noureddine Zekri, Mekki Terbeche

2015 | OriginalPaper | Buchkapitel

Network Dynamics as an Inverse Problem

Jose Casadiego, Marc Timme

2015 | OriginalPaper | Buchkapitel

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

Gianfausto Dell’Antonio, Alessandro Michelangeli

2015 | OriginalPaper | Buchkapitel

Spectral Inequalities for Quantum Graphs

Semra Demirel-Frank

2015 | OriginalPaper | Buchkapitel

Intrinsic Metrics on Graphs: A Survey

Matthias Keller

2015 | OriginalPaper | Buchkapitel

Spectral Gap for Complete Graphs: Upper and Lower Estimates

Pavel Kurasov

2015 | OriginalPaper | Buchkapitel

Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators

Anton A. Kutsenko

2015 | OriginalPaper | Buchkapitel

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

Iman Mesgari, Mehrdad Agha Mohammad Ali Kermani, Robert Hanneman, Alireza Aliahmadi

2015 | OriginalPaper | Buchkapitel

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

Svetlana E. Pastukhova

2015 | OriginalPaper | Buchkapitel

Spectra, Energy and Laplacian Energy of Strong Double Graphs

Shariefuddin Pirzada, Hilal A. Ganie

2015 | OriginalPaper | Buchkapitel

System/Environment Duality of Nonequilibrium Network Observables

Matteo Polettini
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