@article{e68de7ca68154aada5f4dd6db7748a2a,
title = "The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles",
abstract = "An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix can be regarded as the limit of Gaussian beta ensemble (GβE) matrices as the matrix size N tends to infinity with the constraint that N β is a constant.",
keywords = "Gaussian beta ensemble, Random jacobi matrix, Self-convolutive recurrence, Spectral measure",
author = "Duy, {Trinh Khanh} and Tomoyuki Shirai",
note = "Publisher Copyright: {\textcopyright} 2015, University of Washington. All rights reserved.",
year = "2015",
doi = "10.1214/ECP.v20-4252",
language = "English",
volume = "20",
journal = "Electronic Communications in Probability",
issn = "1083-589X",
publisher = "Institute of Mathematical Statistics",
}