28 citations · 63 across the 7 of their papers we have counts for
8 papers
Weak universality for stochastic reaction-diffusion models with long-range correlated noise
Simon Gabriel, Markus Tempelmayr
We study the large-scale behaviour of a family of stochastic reaction-diffusion equations driven by long-range correlated noise in a weakly nonlinear regime. Depending on the decay…
A priori bounds for stochastic porous media equations via regularity structures
Markus Tempelmayr, Hendrik Weber
We prove a priori bounds for solutions of singular stochastic porous media equations with multiplicative noise in their natural -based regularity class. We consider the first…
Lecture notes on Malliavin calculus in regularity structures
Lucas Broux, Felix Otto, Markus Tempelmayr
Malliavin calculus provides a characterization of the centered model in regularity structures that is stable under removing the small-scale cut-off. In conjunction with a spectral…
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 …
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…
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,…
A diagram-free approach to the stochastic estimates in regularity structures
Pablo Linares, Felix Otto, Markus Tempelmayr +1
In this paper, we explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber. More precisely, we…
The structure group for quasi-linear equations via universal enveloping algebras
Pablo Linares, Felix Otto, Markus Tempelmayr
We consider the approach of replacing trees by multi-indices as an index set of the abstract model space introduced by Otto, Sauer, Smith and Weber to tackle quasi-lin…