The KPZ Equation and Moments of Random Matrices
Author(s)Gorin, Vadim; Sodin, Sasha
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Mathematical Physics, Analysis, Geometry
Co. Ltd. Ukrinformnauka
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.
Author's final manuscript