TL;DR
This paper establishes a large deviation principle for the supports of Jacobi ensembles using Guionnet's method, contributing to the understanding of their probabilistic behavior.
Contribution
It introduces a novel application of Guionnet's method to analyze the large deviations of Jacobi ensemble supports.
Findings
Large deviation principle proven for Jacobi ensemble supports
Methodology extends to other random matrix ensembles
Provides theoretical insights into spectral support fluctuations
Abstract
We prove the large deviation principle for the supports of Jacobi ensembles following Guionnet's method.
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Taxonomy
TopicsRandom Matrices and Applications · Spectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods