Groups and Graphs, Designs and Dynamics
Bailey, R. A. (University of St Andrews, Scotland) / Cameron, Peter J. (University of St Andrews, Scotland) / Wu, Yaokun (Shanghai Jiao Tong University, China) 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 optimalit...