Groups and Graphs, Designs and Dynamics
Series: London Mathematical Society Lecture Note Series; 491;
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35 831 Ft
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Product details:
- Publisher Cambridge University Press
- Date of Publication 30 May 2024
- ISBN 9781009465953
- Binding Paperback
- No. of pages450 pages
- Size 229x153x24 mm
- Weight 630 g
- Language English 558
Categories
Short description:
A collection of four short courses on group representations, graph eigenvalues, statistical optimality, and symbolic dynamics.
MoreLong 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.
MoreTable 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.
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