Mathematical Technology of Networks
Bielefeld, December 2013
Editors: Mugnolo, Delio (Ed.)
Free Preview- 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
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- 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.
- About the authors
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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.
- Table of contents (13 chapters)
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Lack of Ground State for NLSE on Bridge-Type Graphs
Pages 1-11
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Instability of Stationary Solutions of Evolution Equations on Graphs Under Dynamical Node Transition
Pages 13-26
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Statistical Characterization of a Small World Network Applied to Forest Fires
Pages 27-37
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Network Dynamics as an Inverse Problem
Pages 39-48
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Dynamics on a Graph as the Limit of the Dynamics on a “Fat Graph”
Pages 49-64
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Table of contents (13 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Mathematical Technology of Networks
- Book Subtitle
- Bielefeld, December 2013
- Editors
-
- Delio Mugnolo
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 128
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-16619-3
- DOI
- 10.1007/978-3-319-16619-3
- Hardcover ISBN
- 978-3-319-16618-6
- Softcover ISBN
- 978-3-319-35419-4
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- VIII, 205
- Number of Illustrations
- 19 b/w illustrations, 14 illustrations in colour
- Topics
