Showing math.PRShow all
2 papers · 1 filter
math.PR2026
Ordered random walks and the Airy line ensemble
Denis Denisov, Will FitzGerald, Vitali Wachtel
The Airy line ensemble is a random collection of continuous ordered paths that plays an important role within random matrix theory and the Kardar-Parisi-Zhang universality class. T…
math.PR2025
Random walks in Weyl chambers
Denis Denisov, Will FitzGerald, Kaiyuan Zhang
We study a -dimensional random walk with zero mean and finite variance in the Weyl chambers of type C and D. Under optimal moment assumptions we construct positive harmonic func…