The KPZ Equation and Moments of Random Matrices

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.

Bibliographic Details
Main Authors: Gorin, Vadim, Sodin, Sasha
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Co. Ltd. Ukrinformnauka 2020
Online Access:https://hdl.handle.net/1721.1/124902