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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. DOI: https://doi.org/10.15407/mag14.03.286   Full text:
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MSC: 60B20, 60H15 Received: 29.01.2018 Language: Citation: Vadim Gorin, Sasha Sodin, “The KPZ equation and moments of random matrices”, Zh. Mat. Fiz. Anal. Geom., 14:3 (2018), 
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