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This article is cited in 3 scientific papers (total in 3 papers)
The KPZ equation and moments of random matrices
Vadim Gorinab, Sasha Sodincd a Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA,
02139-4307, USA
b Institute for Information Transmission Problems of Russian Academy of Sciences, Bolshoy Karetny per. 19, build. 1, Moscow 127051, Russia
c School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
d School of Mathematical Sciences, Queen Mary University of London, London E1 4NS,
United Kingdom
Abstract:
The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole–Hopf solution of the Kardar–Parisi–Zhang equation in the sense of one-point distributions.
Key words and phrases:
KPZ equation, Cole–Hopf solution, Airy process, random matrices.
Received: 29.01.2018
Citation:
Vadim Gorin, Sasha Sodin, “The KPZ equation and moments of random matrices”, Zh. Mat. Fiz. Anal. Geom., 14:3 (2018), 286–296
Linking options:
https://www.mathnet.ru/eng/jmag701 https://www.mathnet.ru/eng/jmag/v14/i3/p286
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Abstract page: | 187 | Full-text PDF : | 82 | References: | 33 |
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