M'at'e Gerencs'er

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20242026

most citedHigher order approximation of nonlinear SPDEs with additive space-time white noise

2 citations · 5 across the 9 of their papers we have counts for

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math.PR2026

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…

math.PR2026

Itô perspective on variance renormalisation

Konstantinos Dareiotis, Máté Gerencsér

We show that the Itô solutions of the nonlinear stochastic heat equation $\partial_{t} u^{ε} - Δ u^{ε} = ε^{3/4} g (u^{ε}) \nabla ξ_{ε},$ w…

math.PR2026

Variance renormalisation in regularity structures -- the case of $2 d$ 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 $2$ -dimensional generalised parabolic A…

The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation

Itô perspective on variance renormalisation

Variance renormalisation in regularity structures -- the case of 2d gPAM

Variance renormalisation in regularity structures -- the case of $2 d$ gPAM