Groups And Graphs Designs And Dynamics
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Groups and Graphs, Designs and Dynamics
Author: R. A. Bailey
language: en
Publisher: Cambridge University Press
Release Date: 2024-05-30
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.
Surveys in Combinatorics 2024
Author: Felix Fischer
language: en
Publisher: Cambridge University Press
Release Date: 2024-06-13
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Groups, Graphs and Trees
Author: John Meier
language: en
Publisher: Cambridge University Press
Release Date: 2008-07-31
This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.