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Title
Mathematical technology of networks [electronic resource] : Bielefeld, December 2013 / Delio Mugnolo, editor.
ISBN
9783319166193 electronic book
3319166190 electronic book
9783319166186
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (viii, 205 pages) : illustrations.
Call Number
QA166
Dewey Decimal Classification
511/.5
Summary
Bringing together leading researchers in the fields of functional analysis, mathematical physics and graph theory, as well as natural scientists using networks as a tool in their own research fields, such as neuroscience and machine learning, this volume presents recent advances in functional, analytical, probabilistic, and spectral aspects in the study of graphs, quantum graphs, and complex networks. 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. All papers were presented at the conference "Mathematical Technology of Networks," held December 4-7, 2013 at the Zentrum für interdisziplinäre Forschung (ZiF) in Bielefeld, Germany, and are supplemented with detailed figures illustrating both abstract concepts as well as their real-world applications. 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 also increasingly attracting the attention of mathematicians and theoretical physicists interested in the fundamental phenomena (synchronization, phase transitions, etc.) that can be studied in the relatively simple framework of dynamical models of random graphs.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 15, 2015).
Series
Springer proceedings in mathematics & statistics ; volume 128.
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.
