Groups and Graphs, Designs and Dynamics

Groups and Graphs, Designs and Dynamics (London Mathematical Society Lecture Note Series, Series Number 491)
Author: R. A. Bailey (Editor), Peter J. Cameron (Editor), Yaokun Wu (Editor) &
Publisher finelybook 出版社:‏ Cambridge University Press
Edition 版本:‏ 1st
Publication Date 出版日期:‏ 2024-08-31
Language 语言: English
Print Length 页数: 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.