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math.PR2024★ 2 cited

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…

math.PR2022★ 1 cited

Diagram-free approach for convergence of tree-based models in Regularity Structures

Yvain Bruned, Usama Nadeem

In this work, we translate at the level of decorated trees some of the crucial arguments which have been used in arXiv:2112.10739 for proposing a diagram-free approach for the conv…

math.PR2022

Convergence of space-discretised gKPZ via Regularity Structures

Yvain Bruned, Usama Nadeem

In this work, we show a convergence result for the discrete formulation of the generalised KPZ equation ,…