284 citations · 284 across the 1 of their papers we have counts for
3 papers
cond-mat.stat-mech2002★ 284 cited
Exact scaling functions for one-dimensional stationary KPZ growth
Michael Praehofer, Herbert Spohn
We determine the stationary two-point correlation function of the one-dimensional KPZ equation through the scaling limit of a solvable microscopic model, the polynuclear growth mod…
math.PR2001
Scale Invariance of the PNG Droplet and the Airy Process
Michael Praehofer, Herbert Spohn
We establish that the static height fluctuations of a particular growth model, the PNG droplet, converges upon proper rescaling to a limit process, which we call the Airy process A…
cond-mat.stat-mech2001
Current fluctuations for the totally asymmetric simple exclusion process
M. Praehofer, H. Spohn
The time-integrated current of the TASEP has non-Gaussian fluctuations of order . The recently discovered connection to random matrices and the Painlevé II Riemann-Hilbert…