The Long ans Short Time Asymptotics of the Two-Time Distribution in Local Random Growth

Understand

The two-time distribution gives the limiting joint distribution of the heights at two different times of a local 1D random growth model in the curved geometry.

• This distribution has been computed in a specific model but is expected to be universal in the KPZ universality class.
• Its marginals are the GUE Tracy-Widom distribution.
• In this paper we study two limits of the two-time distribution.