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math.SP2008
Geodesics on weighted projective spaces
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can "hear" the weights of a weighted projective space.
math-ph2008
A semi-classical inverse problem I: Taylor expansions
Yves Colin De Verdière, Victor Guillemin
In dimension 1, we show that the Taylor expansion of a potential near a generic non degenerate critical point can be recovered from the knowledge of the semi-classical spectrum of…