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20022026
most citedCentral limit theorems for eigenvalues in a spiked population model

127 citations

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Showing 2008 · math.SPShow all

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math.SP2008★ 2 cited

Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator

I. Gallagher, Th. Gallay, F. Nier

Originally motivated by a stability problem in Fluid Mechanics, we study the spectral and pseudospectral properties of the differential operator $H_ε= -\partial_x^2 + x^2 + iε^{-1}…

math.SP2008

Symplectic inverse spectral theory for pseudodifferential operators

San Vu Ngoc

We prove, under some generic assumptions, that the semiclassical spectrum modulo O(h^2) of a one dimensional pseudodifferential operator completely determines the symplectic geomet…