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Titel:

Scale Invariance of the PNG Droplet and the Airy Process

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Prähofer, Michael; Spohn, Herbert
Abstract:
We establish that the static height fluctuations of a particular growth model, the PNG droplet, converges upon proper rescaling to a limit process, which we call the Airy process A(y). The Airy process is stationary, it has continuous sample paths, its single "time" (fixed y) distribution is the Tracy-Widom distribution of the largest eigenvalue of a GUE random matrix, and the Airy process has a slow decay of correlations as y-2. Roughly the Airy process describes the last line of Dyson's Browni...     »
Zeitschriftentitel:
Journal of Statistical Physics
Jahr:
2002
Band / Volume:
108
Heft / Issue:
5/6
Seitenangaben Beitrag:
1071-1106
Volltext / DOI:
doi:10.1023/a:1019791415147
Verlag / Institution:
Springer Science and Business Media LLC
E-ISSN:
0022-4715
Publikationsdatum:
01.01.2002
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