Large gap asymptotics for random matrices
I. Krasovsky
TL;DR
This paper discusses an approach to determine precise asymptotic constants for determinants associated with sine and Airy kernels, which are fundamental in understanding the behavior of large random matrices.
Contribution
It introduces a method to compute multiplicative constants in asymptotic formulas for kernel determinants in random matrix theory.
Findings
Derived formulas for asymptotic constants in sine-kernel determinants
Extended approach to Airy-kernel determinants
Enhanced understanding of large matrix behavior
Abstract
We outline an approach recently used to prove formulae for the multiplicative constants in the asymptotics for the sine-kernel and Airy-kernel determinants appearing in random matrix theory and related areas.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Mathematical Dynamics and Fractals