This book elaborates on the asymptotic behaviour, when N is large,
of certain N-dimensional integrals which typically occur in random
matrices, or in 1+1 dimensional quantum integrable models solvable
by the quantum separation of variables. The introduction presents
the underpinning motivations for this problem, a historical
overview, and a summary of the strategy, which is applicable in
greater generality. The core aims at proving an expansion up to... more...