Groups and Graphs, Designs and Dynamics

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 gr...

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Bibliographic Details
Other Authors: Bailey, R. A. (Editor), Cameron, Peter J. (Editor), Wu, Yaokun (Editor)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2024
Series:London Mathematical Society Lecture Note Series
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Description
Summary: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. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references
Physical Description:1 online resource digital
ISBN:9781009465939