Fluctuation exponents of the KPZ equation on a large torus

We study the one‐dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super‐relaxation regime and part of the relaxation regime.

Saved in:
Bibliographic Details
Published inCommunications on pure and applied mathematics Vol. 76; no. 11; pp. 3104 - 3149
Main Authors Dunlap, Alexander, Gu, Yu, Komorowski, Tomasz
Format Journal Article
LanguageEnglish
Published New York John Wiley and Sons, Limited 01.11.2023
Subjects
Online AccessGet full text

Cover

Loading…
More Information
Summary:We study the one‐dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super‐relaxation regime and part of the relaxation regime.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.22110