This project aims at studying a the large-N behaviour of class of integrals over N variables in strong interactions. Such integrals allow to express various kinds of quantities appearing in mathematical physics, for instance the correlation functions in the N-site discretisation of the 1+1 dimensional quantum Sinh-Gordon model in finite volume. In fact, on the one hand these integrals generalpar kkozlows - Thèses hors de l'EDPIF