3 papers
math.PR2025
Multipoint distributions of the KPZ fixed point with compactly supported initial conditions
Yuchen Liao, Zhipeng Liu
The KPZ fixed point is a universal limiting space-time random field for the Kardar-Parisi-Zhang universality class. While the joint law of the KPZ fixed point at a fixed time has b…
math.PR2025
An upper tail field of the KPZ fixed point
Zhipeng Liu, Ruixuan Zhang
The KPZ fixed point is a (1+1)-dimensional space-time random field conjectured to be the universal limit for models within the Kardar-Parisi-Zhang (KPZ) universality class. We cons…
math.PR2025
Pinched-up periodic KPZ fixed point
Jinho Baik, Zhipeng Liu
The periodic KPZ fixed point is the conjectural universal limit of the KPZ universality class models on a ring when both the period and time critically tend to infinity. For the ca…