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Discrete polynuclear growth and determinantal processes

Kurt Johansson
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Abstract

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.

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Kurt Johansson. 2002-11-26. Discrete polynuclear growth and determinantal processes. https://doi.org/10.1007/s00220-003-0945-y

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