Paolo Perfetti A KAM theorem for infinite--dimensional discrete systems (325K, ps) ABSTRACT. Infinite--dimesional, discrete hamiltonian systems of the type kinetic energy + potential energy over ${\Bbb R}^{{\Bbb Z}}\times {\Bbb T}^{{\Bbb Z}}$ are studied. The existence of many quasi--periodic motions with a maximal set of nonzero frequencies is shown