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Groups and Graphs, Designs and Dynamics

Groups and Graphs, Designs and Dynamics

Paperback

Series: London Mathematical Society Lecture Note, Book 491

General Mathematics

ISBN10: 1009465953
ISBN13: 9781009465953
Publisher: Cambridge University Press
Published: May 30 2024
Pages: 450
Weight: 1.42
Height: 0.93 Width: 6.09 Depth: 9.00
Language: English
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.

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General Mathematics