TY - BOOK
T1 - Groups and graphs, designs and dynamics
A2 - Bailey, R. A.
A2 - Cameron, Peter J.
A2 - Wu, Yaokun
N1 - Funding: The editors acknowledge financial support from Three Gorges Mathematical Research Center, National Natural Science Foundation of China and International Linear Algebra Society.
PY - 2024/5/30
Y1 - 2024/5/30
N2 - 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.
AB - 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.
UR - https://www.cambridge.org/gb/universitypress/subjects/mathematics/differential-and-integral-equations-dynamical-systems-and-co/groups-and-graphs-designs-and-dynamics?format=PB
UR - https://discover.libraryhub.jisc.ac.uk/search?isn=9781009465953&rn=1
U2 - 10.1017/9781009465939
DO - 10.1017/9781009465939
M3 - Book
SN - 9781009465953
T3 - London Mathematical Society lecture note series
BT - Groups and graphs, designs and dynamics
PB - Cambridge University Press
CY - Cambridge
ER -