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Mathematics > Spectral Theory

Title: The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles

Authors: Trinh Khanh Duy, Tomoyuki Shirai
(Submitted on 27 Apr 2015)
Abstract: An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix may be regarded as the limit of Gaussian beta ensemble (G$\beta$E) matrices as the matrix size $N$ tends to infinity with the constraint that $N \beta $ is a constant.
Subjects: Spectral Theory (math.SP); Probability (math.PR)
MSC classes: 47B80, 15A52, 44A60, 47B36
Journal reference: Electron. Commun. Probab. 20 (2015), no. 68, 1--13
DOI: 10.1214/ECP.v20-4252
Cite as: arXiv:1504.06904 [math.SP]
  (or arXiv:1504.06904v1 [math.SP] for this version)

Submission history

From: Khanh Duy Trinh [view email]
[v1] Mon, 27 Apr 2015 01:32:27 GMT (54kb,D)
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