On inhomogeneous polynuclear growth

Autor: Johansson, Kurt, Rahman, Mustazee
Rok vydání: 2020
Předmět:
Zdroj: Ann. Probab. 50 no. 2 (2022), 559-590
Druh dokumentu: Working Paper
Popis: This article studies the inhomogeneous geometric polynuclear growth model, the distribution of which is related to Schur functions. We explain a method to derive its distribution functions in both space-like and time-like directions, focusing on the two-time distribution. Asymptotics of the two-time distribution in the KPZ-scaling limit is then considered, extending to two times several single-time distributions in the KPZ universality class.
Comment: Final version. Minor corrections and some improved results
Databáze: arXiv