Limit theorems for extrema of Airy processes

Riddhipratim Basu, Sudeshna Bhattacharjee

We establish limit theorems for the maxima and minima of Airy${}_1$ and Airy${}_2$ processes (denoted by ${\mathcal{A}}_1(\cdot )$ and ${\mathcal{A}}_2(\cdot )$ respectively) over growing in…