%0 Journal Article %T Gevrey Normal Form and Effective Stability of Lagrangian Tori %A Todor Mitev %A Georgi Popov %J Mathematics %D 2009 %I arXiv %X A Gevrey symplectic normal form of an analytic and more generally Gevrey smooth Hamiltonian near a Lagrangian invariant torus with a Diophantine vector of rotation is obtained. The normal form implies effective stability of the quasi-periodic motion near the torus. %U http://arxiv.org/abs/0909.3575v1