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• W2003175553 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 F 1 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. Furthermore we discuss a rather general class of measures given by products of determinants and show that these measures have determinantal correlation functions." @default.
• W2003175553 created "2016-06-24" @default.
• W2003175553 creator A5045613731 @default.
• W2003175553 date "2003-10-07" @default.
• W2003175553 modified "2023-10-03" @default.
• W2003175553 title "Discrete Polynuclear Growth and Determinantal Processes" @default.
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• W2003175553 doi "https://doi.org/10.1007/s00220-003-0945-y" @default.
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