Upper tail decay of KPZ models with Brownian initial conditions

Abstract

In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [Chhita-Ferrari-Spohn 2018]. The one-point distribution of the limit is given in terms of a variational problem. By directly studying it, we deduce the right tail asymptotic of the distribution function. This gives a rigorous proof and extends the results obtained in [Meerson-Schmidt 2017].

16 pages

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• A determinantal formula for the GOE Tracy-Widom distribution
• Height distribution tails in the Kardar-Parisi-Zhang equation with Brownian initial conditions
• One-sided reflected Brownian motions and the KPZ fixed point

Cited by in corpus (4)

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• The half-space Airy stat process