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RESEARCH PRODUCT
Distribution of Eigenvalues for Semi-classical Elliptic Operators with Small Random Perturbations, Results and Outline
Johannes Sjöstrandsubject
Section (fiber bundle)Pure mathematicsElliptic operatorDistribution (number theory)Probabilistic logicState (functional analysis)Differential operatorEigenvalues and eigenvectorsMathematicsdescription
In this chapter we will state a result asserting that for elliptic semi-classical (pseudo-)differential operators the eigenvalues are distributed according to Weyl’s law “most of the time” in a probabilistic sense. The first three sections are devoted to the formulation of the results and in the last section we give an outline of the proof that will be carried out in Chaps. 16 and 17.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |