The KPZ equation and moments of random matrices

Vadim Gorin, Sasha Sodin

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)286-296
Number of pages11
JournalJournal of Mathematical Physics, Analysis, Geometry
Volume14
Issue number3
DOIs
StatePublished - 2018

Funding

FundersFunder number
Horizon 2020 Framework Programme639305

    Keywords

    • Airy process
    • Cole-Hopf solution
    • KPZ equation
    • Random matrices

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