Graduate Thesis Or Dissertation
Small Deviations for the Beta Jacobi Ensemble Public Deposited
https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/r207tp36h
- Abstract
- This dissertation establishes various small deviation inequalities for the largest eigenvalue of the β-Jacobi Ensemble when β ≥ 1. Upper bounds for the right and left tails are found be in line with the shape of the Tracy-Widom Distribution. From these small deviation bounds, an upper bound on the variance of the largest eigenvalue is derived. This bound is in accordance with known limit theorems.
- Creator
- Date Issued
- 2012
- Academic Affiliation
- Advisor
- Committee Member
- Degree Grantor
- Commencement Year
- Subject
- Last Modified
- 2019-11-16
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Thumbnail | Title | Date Uploaded | Visibility | Actions |
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smallDeviationsForTheBetaJacobiEnsemble.pdf | 2019-11-11 | Public | Download |