The KPZ Equation and Moments of Random Matrices

Author(s)
Gorin, Vadim; Sodin, Sasha
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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: KPZ equation; Cole–Hopf solution; Airy process; random matrices.
Date issued
2018-09
URI
https://hdl.handle.net/1721.1/124902
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of Mathematical Physics, Analysis, Geometry
Publisher
Co. Ltd. Ukrinformnauka
Citation
Gorin, Vadim and Sasha Sodin. “The KPZ Equation and Moments of Random Matrices.” Journal of Mathematical Physics, Analysis, Geometry 14, 3 (September 2018): 286–96.
Version: Author's final manuscript
ISSN
1817-5805
1812-9471
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