Height Fluctuations for the Stationary KPZ Equation

We compute the one-point probability distribution for the stationary KPZ equation (i.e. initial data H(0,X)=B(X), for B(X) a two-sided standard Brownian motion) and show that as time T goes to infinity, the fluctuations of the height function H(T,X) grow like T[superscript 1/3] and converge to those...

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Bibliographic Details
Main Authors: Ferrari, Patrik (Author), Vető, Bálint (Author), Borodin, Alexei (Contributor), Corwin, Ivan (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Netherlands, 2017-02-03T22:04:44Z.
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