2 citations · 5 across the 9 of their papers we have counts for
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Weak coupling limit of KPZ with rougher than white noise
Máté Gerencsér, Fabio Toninelli
We consider the KPZ equation in spatial dimension with noise that is rougher than white by an exponent . Under a weak coupling limit, formally removing the nonlinearity…
Higher order approximation of nonlinear SPDEs with additive space-time white noise
Ana Djurdjevac, Máté Gerencsér, Helena Kremp
We consider strong approximations of -dimensional stochastic PDEs driven by additive space-time white noise. It has been long proposed (Davie-Gaines '01, Jentzen-Kloeden '08),…
Analytically weak solutions to stochastic heat equations with spatially rough noise
Máté Gerencsér
In [HHL+17] the authors showed existence and uniqueness of solutions to the nonlinear one-dimensional stochastic heat equation driven by a Gaussian noise that is white in time and…
Quasi-generalised KPZ equation
Yvain Bruned, Máté Gerencsér, Usama Nadeem
We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencsér and Hairer for solving quas…