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This article is cited in 57 scientific papers (total in 57 papers)
The birth of a random matrix
A. Yu. Okounkova, N. Yu. Reshetikhinb a Princeton University
b University of California, Berkeley
Abstract:
We consider the behavior of a random stepped surface near a turning point, that is, a point at which the limit shape is not smooth. When the turning point is a smooth point of the frozen boundary, the resulting point process is identified with the standard Gaussian measure on infinite Hermitian matrices. A different point process appears if the turning point is a cusp of the frozen boundary.
Key words and phrases:
Random matrices, random surfaces.
Received: June 4, 2006
Citation:
A. Yu. Okounkov, N. Yu. Reshetikhin, “The birth of a random matrix”, Mosc. Math. J., 6:3 (2006), 553–566
Linking options:
https://www.mathnet.ru/eng/mmj260 https://www.mathnet.ru/eng/mmj/v6/i3/p553
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Abstract page: | 1082 | References: | 197 |
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