Limiting distributions for a polynuclear growth model with external sources

Details Limiting distributions for a polynuclear growth model with external sources Limiting distributions for a polynuclear growth model with external sources

2000-03-22

arxiv.org/abs/math/0003130v1

Mathematics

Probability

15 pages, 1 figure, LaTex

Scientific paper

The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Pr\"ahofer and Spohn. Depending on the strength of the sources, the limiting distribution functions are either the Tracy-Widom functions of random matrix theory, or a new explicit function which has the special property that its mean is zero. Moreover, we obtain transition functions between pairs of the above distribution functions in suitably scaled limits. There are also similar results for a discrete totally asymmetric exclusion process.

Affiliated with

Also associated with

No associations

Rating

Limiting distributions for a polynuclear growth model with external sources 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 Limiting distributions for a polynuclear growth model with external sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limiting distributions for a polynuclear growth model with external sources will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599754