2 citations · 5 across the 9 of their papers we have counts for
4 papers · 1 filter
The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation
Máté Gerencsér, Yueh-Sheng Hsu, Rhys Steele
One of the most common descriptions of solutions of singular SPDEs is their characterisation as the limit of solutions of renormalised smooth random PDEs. We quantify the speed of…
Overcoming the spatial order barrier for nonlinear SPDEs with additive space-time white noise
Lukas Anzeletti, Máté Gerencsér, Helena Kremp
We introduce a fully discrete numerical scheme for semilinear SPDEs with additive space-time white noise that overcomes the previous order barrier for the spatial convergence rate.…
Itô perspective on variance renormalisation
Konstantinos Dareiotis, Máté Gerencsér
We show that the Itô solutions of the nonlinear stochastic heat equation w…
Variance renormalisation in regularity structures -- the case of gPAM
Máté Gerencsér, Yueh-Sheng Hsu
We consider the variance renormalisation of a singular SPDE for which a Da Prato-Debussche trick is not applicable. The example taken is the -dimensional generalised parabolic A…