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20212026
most citedThe structure group for quasi-linear equations via universal enveloping algebras

28 citations · 63 across the 7 of their papers we have counts for

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math.AP2023

Stochastic estimates for the thin-film equation with thermal noise

Rishabh S. Gvalani, Markus Tempelmayr

We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension …

math.PR2023★ 8 cited

Characterizing models in regularity structures: a quasilinear case

Markus Tempelmayr

We give a novel characterization of the centered model in regularity structures which persists for rough drivers even as a mollification fades away. We present our result for a cla…

math.PR2023★ 7 cited

Lecture notes on tree-free regularity structures

Felix Otto, Kihoon Seong, Markus Tempelmayr

These lecture notes are intended as reader's digest of recent work on a diagram-free approach to the renormalized centered model in Hairer's regularity structures. More precisely,…