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math.SP2013
Spectra of Random Operators with absolutely continuous Integrated Density of States
Rafael del Rio
The structure of the spectrum of random operators is studied. It is shown that if the density of states measure of some subsets of the spectrum is zero, then these subsets are empt…
math.SP2011★ 16 cited
Inverse problems for Jacobi operators I: Interior mass-spring perturbations in finite systems
Rafael del Rio, Mikhail Kudryavtsev
We consider a linear finite spring mass system which is perturbed by modifying one mass and adding one spring. From knowledge of the natural frequencies of the original and the per…
math.SP1994
Singular continuous spectrum is generic
Rafael del Rio, Svetlana Ya. Jitomirskaya, Nikolai G. Makarov +1
In a variety of contexts, we prove that singular continuous spectrum is generic in the sense that for certain natural complete metric spaces of operators, those with singular spect…