Groups and Graphs, Designs and Dynamics
Groups and Graphs, Designs and Dynamics
R. A. Bailey, University of St Andrews, Scotland
Peter J. Cameron, University of St Andrews, Scotland
Yaokun Wu, Shanghai Jiao Tong University, China
Peter J. Cameron, University of St Andrews, Scotland
Yaokun Wu, Shanghai Jiao Tong University, China
May 2024
Available
Paperback
9781009465953
£75.00
GBPPaperback
USD
eBook
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.
- Provides an in-depth look at four important mathematical topics emphasizing their common roots in linear algebra
- Features numerous exercises in each chapter rounding out the theory
- All chapters can be read independently but contain many cross-references and commonalities
Product details
May 2024Paperback
9781009465953
450 pages
229 × 153 × 24 mm
0.63kg
Available
Table of Contents
- 1. Topics in representation theory of finite groups Tullio Ceccherini-Silberstein, Fabio Scarabotti and Filippo Tolli
- 2. Quantum probability approach to spectral analysis of growing graphs Nobuaki Obata
- 3. Laplacian eigenvalues and optimality R. A. Bailey and Peter J. Cameron
- 4. Symbolic dynamics and the stable algebra of matrices Mike Boyle and Scott Schmieding
- Author index
- Subject index.
