Large time asymptotics of growth models on space-like paths. I: Push ASEP.
Maximum of Dyson Brownian motion and non-colliding systems with a boundary.
Universality of slow decorrelation in KPZ growth
There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar–Parisi–Zhang (KPZ) universality class. A proper rescaling of time should introduce a non-trivial temporal dimension to these limiting fluctuations. In one-dimension, the KPZ class has the dynamical scaling exponent = 3/2, that means one should find a universal space–time limiting process under the scaling of time as , space like 2/3 and fluctuations like 1/3 as → ∞. In this paper we provide...
Page 1