Groups and Graphs, Designs and Dynamics

Know about the book -

Groups and Graphs, Designs and Dynamics is written by R. A. Bailey and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1009465945 (ISBN 10) and 9781009465946 (ISBN 13).

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.