Abstract
For stationary KPZ growth in 1 + 1 dimensions, the height fluctuations are governed by the Baik–Rains distribution. Using the totally asymmetric single step growth model, alias TASEP, we investigate height fluctuations for a general class of spatially homogeneous random initial conditions. We prove that for TASEP there is a one-parameter family of limit distributions, labeled by the diffusion coefficient of the initial conditions. The distributions are defined through a variational formula. We use Monte Carlo simulations to obtain their numerical plots. Also discussed is the connection to the six-vertex model at its conical point.
Originalsprache | Englisch |
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Seiten (von - bis) | 1573-1603 |
Seitenumfang | 31 |
Fachzeitschrift | Annals of Applied Probability |
Jahrgang | 28 |
Ausgabenummer | 3 |
DOIs | |
Publikationsstatus | Veröffentlicht - Juni 2018 |