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.
| Original language | English |
|---|---|
| Pages (from-to) | 286-296 |
| Number of pages | 11 |
| Journal | Journal of Mathematical Physics, Analysis, Geometry |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© Vadim Gorin and Sasha Sodin, 2018.
Keywords
- Airy process
- Cole-Hopf solution
- KPZ equation
- Random matrices
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