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Spectra of Discrete Structures: 221 (Cambridge Studies in Advanced Mathematics, Series Number 221) - Hardcover
Book 149 of 151: Cambridge Studies in Advanced Mathematics
Synopsis
Develops the general theory of spectra of discrete structures and demonstrates applications with a particular emphasis on hypergraphs.
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About the Authors
Jürgen Jost is a founding Director and Scientific Member at the Max Planck Institute for Mathematics in the Sciences. He is a recipient of the Gottfried-Wilhelm-Leibniz award of the DFG (1993) and is a member of the German National Academy Leopoldina, the Academy of Science and Literature at Mainz, and the Saxonian Academy of Science at Leipzig.
Raffaella Mulas is a tenured Assistant Professor at VU Amsterdam, where her research is supported by NWO VENI and VU Startpremie grants. Previously, she was a Group Leader at the Max Planck Institute for Mathematics in the Sciences, where her research group was supported by a Minerva Fast Track Fellowship from the Max Planck Society, and a postdoc at the Alan Turing Institute in London.
Dong Zhang is an Assistant Professor at Peking University, and was previously a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences. His research area is discrete analysis, especially nonlinear spectral graph theory and discrete-to-continuous extensions.
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Spectra of Discrete Structures (Hardcover)
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ISBN 10: 1009641840
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Hardcover. Condition: new. Hardcover. Addressing the active and challenging field of spectral theory, this book develops the general theory of spectra of discrete structures, on graphs, simplicial complexes, and hypergraphs. In fact, hypergraphs have long been neglected in mathematical research, but because of the discovery of Laplace operators that can probe their structure, and their manifold applications from chemical reaction networks to social interactions, they have now become one of the most active areas of interdisciplinary research. The authors' analysis of spectra of discrete structures embeds intuitive and easily visualized examples, which are often quite subtle, within a general mathematical framework. They highlight novel research on Cheeger-type inequalities that connect spectral estimates with the geometry, more precisely the cohesion, of the underlying structure. Establishing mathematical foundations and demonstrating applications, this book will be of interest to graduate students and researchers in mathematics working on the spectral theory of operators on discrete structures. Spectral theory is a dynamic research field. This book develops the general theory of spectra of discrete structures, for graphs, hypergraphs and simplicial complexes. Establishing mathematical foundations and applications, it is relevant to graduate students and researchers working on spectral theory of operators on discrete structures. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009641845
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Spectra of Discrete Structures (Cambridge Studies in Advanced Mathematics, Series Number 221)
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Spectra Of Discrete Structures
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Hardback. Condition: New. Addressing the active and challenging field of spectral theory, this book develops the general theory of spectra of discrete structures, on graphs, simplicial complexes, and hypergraphs. In fact, hypergraphs have long been neglected in mathematical research, but because of the discovery of Laplace operators that can probe their structure, and their manifold applications from chemical reaction networks to social interactions, they have now become one of the most active areas of interdisciplinary research. The authors' analysis of spectra of discrete structures embeds intuitive and easily visualized examples, which are often quite subtle, within a general mathematical framework. They highlight novel research on Cheeger-type inequalities that connect spectral estimates with the geometry, more precisely the cohesion, of the underlying structure. Establishing mathematical foundations and demonstrating applications, this book will be of interest to graduate students and researchers in mathematics working on the spectral theory of operators on discrete structures. Seller Inventory # LU-9781009641845
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Hardcover. Condition: new. Hardcover. Addressing the active and challenging field of spectral theory, this book develops the general theory of spectra of discrete structures, on graphs, simplicial complexes, and hypergraphs. In fact, hypergraphs have long been neglected in mathematical research, but because of the discovery of Laplace operators that can probe their structure, and their manifold applications from chemical reaction networks to social interactions, they have now become one of the most active areas of interdisciplinary research. The authors' analysis of spectra of discrete structures embeds intuitive and easily visualized examples, which are often quite subtle, within a general mathematical framework. They highlight novel research on Cheeger-type inequalities that connect spectral estimates with the geometry, more precisely the cohesion, of the underlying structure. Establishing mathematical foundations and demonstrating applications, this book will be of interest to graduate students and researchers in mathematics working on the spectral theory of operators on discrete structures. Spectral theory is a dynamic research field. This book develops the general theory of spectra of discrete structures, for graphs, hypergraphs and simplicial complexes. Establishing mathematical foundations and applications, it is relevant to graduate students and researchers working on spectral theory of operators on discrete structures. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781009641845
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Spectra of Discrete Structures (Cambridge Studies in Advanced Mathematics, Series Number 221)
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