limiting distribution of eigenvalues
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1: 32.14 Combinatorics
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►The distribution function given by (32.14.2) arises in random matrix theory where it gives the limiting distribution for the normalized largest eigenvalue in the Gaussian Unitary Ensemble of Hermitian matrices; see Tracy and Widom (1994).
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2: 28.12 Definitions and Basic Properties
3: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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►of the Dirac delta distribution.
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►These eigenvalues will be assumed distinct, i.
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►By Weyl’s alternative
equals either 1 (the limit point case) or 2 (the limit circle case), and similarly for .
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►The above results, especially the discussions of deficiency indices and limit point and limit circle boundary conditions, lay the basis for further applications.
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4: 28.2 Definitions and Basic Properties
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