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arxiv: 1801.02574 · v2 · pith:ZGXLOII3new · submitted 2018-01-08 · 🧮 math.PR · math-ph· math.MP· math.SP

The KPZ equation and moments of random matrices

Vadim Gorin , Sasha Sodin This is my paper
classification 🧮 math.PR math-phmath.MPmath.SP
keywords equationmatrixrandomcole-hopfconvergesdiagonaldistributionselement
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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.

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