A convergence framework for Airy$_\beta$ line ensemble via pole
evolution
A convergence framework for Airy$_\beta$ line ensemble via pole
evolution
The Airy$_\beta$ line ensemble is an infinite sequence of random curves. It is a natural extension of the Tracy-Widom$_\beta$ distributions, and is expected to be the universal edge scaling limit of a range of models in random matrix theory and statistical mechanics. In this work, we provide a framework of …