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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.SP2009★ 2 cited
Invariants of isospectral deformations and spectral rigidity
G. Popov, P. Topalov
We introduce a notion of weak isospectrality for continuous deformations. Consider the Laplace-Beltrami operator on a compact Riemannian manifold with boundary with Robin boundary…