The KPZ Equation and Moments of Random Matrices
Name
1801.02574.pdf
Description
Accepted version
Size
179.15 KB
Format
Adobe PDF
Checksum (MD5)
2b091f9f9a353373258d21e15b59d359
Author(s)
Gorin, Vadim
Sodin, Sasha
Date Issued
September 2018
Journal
Journal of Mathematical Physics, Analysis, Geometry
Publisher
Co. Ltd. Ukrinformnauka
Citation
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.
Version
Author's final manuscript
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. Key words: KPZ equation; Cole–Hopf solution; Airy process; random matrices.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.15407/MAG14.03.286
