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math.DS2013★ 2 cited
Rigidity of the Reducibility of Gevrey Quasi-periodic Cocycles on U(n)
Xuanji Hou, Georgi Popov
We consider the reducibility problem of cocycles on $\T^d\times U(n)$ in Gevrey classes, where is a Diophantine vector. We prove that, if a Gevrey cocycle is conjugate…
math.DS2009
Gevrey Normal Form and Effective Stability of Lagrangian Tori
Todor Mitev, Georgi Popov
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…
math.DS2003★ 5 cited
KAM Theorem for Gevrey Hamiltonians
Georgi Popov
We consider Gevrey perturbations of a completely integrable Gevrey Hamiltonian . Given a Cantor set defined by a Diophantine condition, we find a family of KAM invar…