Sasa Kocic
Renormalization of Hamiltonians for Diophantine frequency vectors
(90K, RevTeX 4)

ABSTRACT.  We construct a rigorous renormalization scheme for analytic two 
degree-of-freedom Hamiltonians, which applies to the problem of the 
stability of invariant tori with Diophantine frequency vectors. We 
prove the existence of an attracting, integrable limit set of the 
renormalization.