Groups and Graphs, Designs and Dynamics: 491 (London Mathematical Society Lecture Note Series, Series Number 491)

Groups and Graphs, Designs and Dynamics: 491 (London Mathematical Society Lecture Note Series, Series Number 491)
by: Edited by R. A. Bailey (Author),Peter J. Cameron(Author),Yaokun Wu(Author)&0more
Publisher:Cambridge University Press
Publication Date: 30 May 2024
Language:English
Print Length:450 pages
ISBN-10:1009465953
ISBN-13:9781009465953
Book Description
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.
About the Author
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.