5 citations · 13 across the 5 of their papers we have counts for
5 papers
From K.A.M. Tori to Isospectral Invariants and Spectral Rigidity of Billiard Tables
G. Popov, P. Topalov
This article is a part of a project investigating the relationship between the dynamics of completely integrable or close to completely integrable billiard tables, the integral geo…
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…
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…
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…
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…