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math.SP2016★ 4 cited
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…
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…