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.

Author: R. A. Bailey
Binding Type: Paperback
Publisher: Cambridge University Press
Published: 07/25/2024
Series: London Mathematical Society Lecture Note #491
Pages: 450
Weight: 1.42lbs
Size: 9.00h x 6.09w x 0.93d
ISBN: 9781009465953