This volume contains contributions from the meeting held in honour of G.F. Dell'Antonio's 60th birthday. The topics covered include the theory of classical and quantum dynamical systems, and related mathematical disciplines, such as functional and stochastic analysis, operator algebras and others. The contributions by specialists survey developments in Hamiltonian dynamics, non-commutative integration, supersymmetric theories, spin glass theory and other subjects in mathematical physics.
A construction of a nonstandard universe, V.Benci; convexity inequality in non-commutative and optimal fermion hypercontractivity, E. Carlen; quantum field theory - categories and duality, S. Doplicher; invariant tori - a field theoretic point of view on Eliasson's work, G.Gallavotti; the Hubbard model - some rigourous results and open problems, E. Lieb; zero range forces, E. Nelson; constructing supersymmetric quantum field theory, K. Osterwalder; spin glasses, where do we stay?, G. Parisi; a new look to functional integration, L. Streit; symplectic invariants and Hamiltonian dynamics, E. Zehnder. (Part contents)