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- W2982059525 abstract "We continue to explore the connections between large deviations for objects coming from random matrix theory and sum rules. This connection was established in [Sum rules via large deviations, J. Funct. Anal. 270(2) (2016) 509–559] for spectral measures of classical ensembles (Gauss–Hermite, Laguerre, Jacobi) and it was extended to spectral matrix measures of the Hermite and Laguerre ensemble in [Sum rules and large deviations for spectral matrix measures, Bernoulli 25(1) (2018) 712–741]. In this paper, we consider the remaining case of spectral matrix measures of the Jacobi ensemble. Our main results are a large deviation principle for such measures and a sum rule for matrix measures with reference measure the Kesten–McKay law. As an important intermediate step, we derive the distribution of matricial canonical moments of the Jacobi ensemble." @default.
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- W2982059525 date "2019-12-20" @default.
- W2982059525 modified "2023-10-18" @default.
- W2982059525 title "Large deviations and a new sum rule for spectral matrix measures of the Jacobi ensemble" @default.
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- W2982059525 doi "https://doi.org/10.1142/s2010326321500088" @default.
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