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math.SP2014
Interior eigenvalue density of Jordan matrices with random perturbations
Johannes Sjoestrand, Martin Vogel
We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E.B. Davies and M. Hager shows that as the dimension of th…
math.SP2014
Spectra for semiclassical operators with periodic bicharacteristics in dimension two
Michael A. Hall, Michael Hitrik, Johannes Sjoestrand
We study the distribution of eigenvalues for selfadjoint --pseudodifferential operators in dimension two, arising as perturbations of selfadjoint operators with a periodic class…