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Discrete Polynuclear Growth and Determinantal processes (2003)
by
Kurt Johansson
| Venue: | Comm. Math. Phys |
| Citations: | 162 - 11 self |
BibTeX
@ARTICLE{Johansson03discretepolynuclear,
author = {Kurt Johansson},
title = {Discrete Polynuclear Growth and Determinantal processes},
journal = {Comm. Math. Phys},
year = {2003},
pages = {277--329}
}
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Abstract
Abstract. We consider a discrete polynuclear growth (PNG) process and prove a functional limit theorem for its convergence to the Airy process. This generalizes previous results by Prähofer and Spohn. The result enables us to express the F1 GOE 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. 1. Introduction and
