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arXiv · 1801.02574

The KPZ equation and moments of random matrices

Vadim Gorin·Sasha Sodin
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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.

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Vadim Gorin, Sasha Sodin. 2018-01-08. The KPZ equation and moments of random matrices. https://doi.org/10.15407/mag14.03.286

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