Groups and Graphs, Designs and Dynamics
Published on 29. May 2024
452 pages
978-1-009-46594-6 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises
File size
3,38 MB
ISBN-13
978-1-009-46594-6 (9781009465946)
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Schweitzer Classification
Other editions
Additional editions
R. A. Bailey | Peter J. Cameron | Yaokun Wu
Groups and Graphs, Designs and Dynamics
Book
05/2024
Cambridge University Press
€100.40
Shipment within 15-20 days
Persons
Content
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.
