Systematic time expansion for the Kardar–Parisi–Zhang equation, linear statistics of the GUE at the edge and trapped fermions

We present a systematic short time expansion for the generating function of the one point height probability distribution for the KPZ equation with droplet initial condition, which goes much beyond previous studies. The expansion is checked against a numerical evaluation of the known exact Fredholm...

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Bibliographic Details
Main Authors: Alexandre Krajenbrink, Pierre Le Doussal, Sylvain Prolhac
Format: Article
Language:English
Published: Elsevier 2018-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318302669