August 2024 KPZ on torus: Gaussian fluctuations
Yu Gu, Tomasz Komorowski
Author Affiliations +
Ann. Inst. H. Poincaré Probab. Statist. 60(3): 1570-1618 (August 2024). DOI: 10.1214/23-AIHP1392

Abstract

We study the KPZ equation on a torus and derive Gaussian fluctuations in large time.

Nous étudions l’équation KPZ sur un tore et dérivons les fluctuations gaussiennes en temps long.

Funding Statement

Y.G. was partially supported by the NSF through DMS-1907928/DMS-2203014.
T.K. acknowledges the support of NCN grant 2020/37/B/ST1/00426.

Acknowledgements

We would like to thank two anonymous referees for many helpful suggestions which improved the presentation of the paper.

Citation

Download Citation

Yu Gu. Tomasz Komorowski. "KPZ on torus: Gaussian fluctuations." Ann. Inst. H. Poincaré Probab. Statist. 60 (3) 1570 - 1618, August 2024. https://doi.org/10.1214/23-AIHP1392

Information

Received: 18 December 2021; Revised: 29 November 2022; Accepted: 3 April 2023; Published: August 2024
First available in Project Euclid: 31 July 2024

Digital Object Identifier: 10.1214/23-AIHP1392

Subjects:
Primary: 35Q82 , 37A25 , 60H15

Keywords: Directed polymer , invariant measure , KPZ equation

Rights: Copyright © 2024 Association des Publications de l’Institut Henri Poincaré

Vol.60 • No. 3 • August 2024
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