Mathematical Technology of Networks
Bielefeld, December 2013
1st Edition
Published on 6. July 2015
VIII, 205 pages
978-3-319-16619-3 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 205 p. 33 illus., 14 illus. in color.
File size
2,77 MB
ISBN-13
978-3-319-16619-3 (9783319166193)
DOI
10.1007/978-3-319-16619-3
Schweitzer Classification
Other editions
Additional editions
Book
07/2015
Springer
€106.99
Shipment within 10-15 days
Person
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.
Content
Lack of ground state for NLSE on bridge-type graphs.- Dynamics on a graph as the limit of the dynamics of a "fat graph".- Instability of stationary solutions of evolution.- Statistical characterization of a small world network applied to forest fires.- Network dynamics of an inverse problem.- Spectral inequalities for quantum graphs.- Intrinsic metrics on graphs - a survey.- Spectral gap for complete graphs: upper and lower estimates.- Sharp spectral estimates for periodic matrix-valued Jacobi operators.- Identifying key nodes in social networks using multi-criteria decision-making tools.- On band-gap structure of spectrum.- Spectra, energy and Laplacian energy of strong double graphs.- System/environment duality of nonequilibrium network observables.
