Groups and graphs, designs and dynamics

R. A. Bailey (Editor), Peter J. Cameron (Editor), Yaokun Wu (Editor)

Research output: Book/ReportBook

Abstract

This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory.
Original languageEnglish
Place of PublicationCambridge
PublisherCambridge University Press
Number of pages434
ISBN (Electronic)9781009465939
ISBN (Print)9781009465953
DOIs
Publication statusPublished - 30 May 2024

Publication series

NameLondon Mathematical Society lecture note series
Volume491
ISSN (Print)0076-0552

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  • Laplacian eigenvalues and optimality

    Bailey, R. A. & Cameron, P. J., 30 May 2024, Groups and graphs, designs and dynamics. Bailey, R. A., Cameron, P. J. & Wu, Y. (eds.). Cambridge: Cambridge University Press, p. 176-265 90 p. (London Mathematical Society lecture note series; vol. 491).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

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