  We consider a discrete polynuclear growth (PNG) process and prove a functioal
limit theorem for its convergrence to the Airy process. This generalizes
previous results by Pr"ahofer and Spohn. The result enables us to express the
GOE largest eigenvalue (Tracy-Widom) distribution in terms of the Airy process.
We also show some results and give a conjecture about the transversal
fluctuations in a point to line last passage percolation problem.
