Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions

DOI10.1214/22-EJP885MaRDI QIDQ2679699

Shuta Nakajima, Makoto Nakashima

Publication date: 23 January 2023

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07243

zbMATH Keywords

stochastic calculusstochastic heat equationKPZ equationEdwards-Wilkinson equationlocal limit theorem for polymers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Martingales with continuous parameter (60G44) Processes in random environments (60K37)

Related Items (3)

Moments of partition functions of 2d Gaussian polymers in the weak disorder regime-I ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ Mesoscopic averaging of the two-dimensional KPZ equation

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