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Spectra of Discrete Structures by Jurgen Jost, Raffaella Mulas, Dong Zhang

Spectra of Discrete Structures

by Jurgen Jost , Raffaella Mulas , Dong Zhang
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Book cover type: Hardcover
  • ISBN13: 9781009641845
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 426
  • Original Price: GBP 65.0
  • Language: English
  • Edition: N/A
  • Item Weight: 735 grams
  • BISAC Subject(s): Algebra / Abstract

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.

Mulas, Raffaella: - 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.

Zhang, Dong: - 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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