4 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…
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 …
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…
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…