Discrete polynuclear growth and determinantal processes

Details Discrete polynuclear growth and determinantal processes Discrete polynuclear growth and determinantal processes

2002-06-20

arxiv.org/abs/math/0206208v2

Mathematics

Probability

In the new version some parts have been replaced, new material has beeb added and errors corrected

Scientific paper

10.1007/s00220-003-0945-y

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.

Affiliated with

Also associated with

No associations

Rating

Discrete polynuclear growth and determinantal processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete polynuclear growth and determinantal processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete polynuclear growth and determinantal processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330279