English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We continue to explore the connections between large deviations for objectscoming from random matrix theory and sum rules. This connection was establishedin [17] for spectral measures of classical ensembles (Gauss-Hermite, Laguerre,Jacobi) and it was extended to spectral matrix measures of the Hermite andLaguerre ensemble in [20]. In this paper, we consider the remaining case ofspectral matrix measures of the Jacobi ensemble. Our main results are a largedeviation principle for such measures and a sum rule for matrix measures withreference measure the Kesten-McKay law. As an important intermediate step, wederive the distribution of canonical moments of the matrix Jacobi ensemble.

Sum rules and large deviations for spectral matrix measures in the Jacobi ensemble