Work

Weak coupling limit of KPZ with rougher than white noise

Year: 2025

Type: article

Abstract: We consider the KPZ equation in 1 spatial dimension with noise that is rougher than white by an exponent γ>1∕4. Under a weak coupling limit, formally removing the nonlinearity from the equation, we show using regularity structures that the renormalised solutions converge to a Gaussian limit that is different from the solution of the linear part of the equation. The regime of this effect has a nontrivial overlap with the subcritical regime γ<1∕2.

Source: Electronic Communications in Probability

DOI: 10.1214/25-ecp675

Authors: Máté Gerencsér, Fabio Toninelli

Institution: TU Wien

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

Funders: European Commission, Austrian Science Fund, HORIZON EUROPE European Research Council