Showing math-phShow all
2 papers · 1 filter
math-ph2004★ 24 cited
Polynuclear growth model, GOE and random matrix with deterministic source
T. Imamura, T. Sasamoto
We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources…
math-ph2004★ 106 cited
Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura, T. Sasamoto
The one-dimensional polynuclear growth model with external sources at edges is studied. The height fluctuation at the origin is known to be given by either the Gaussian, the GUE Tr…