169 citations · 818 across the 56 of their papers we have counts for
72 papers
Lecture notes on the harmonic approximation to quadratic optimal transport
Lukas Koch, Felix Otto
These lecture notes present the quantitative harmonic approximation result for quadratic optimal transport and general measures obtained by Goldman and Otto. The aim is to give a c…
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,…
The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off
Georgiana Chatzigeorgiou, Peter Morfe, Felix Otto +1
We analyze the large-time asymptotics of a passive tracer with drift equal to the curl of the Gaussian free field in two dimensions with ultra-violet cut-off at scale unity. We pro…
A tree-free approach to regularity structures: The regular case for quasi-linear equations
Pablo Linares, Felix Otto
We give a motivation and gentle introduction into the regularity structure and model introduced by Otto, Sauer, Smith and Weber, which fall into the framework of Hairer, but have a…
Bias in the representative volume element method: periodize the ensemble instead of its realizations
Nicolas Clozeau, Marc Josien, Felix Otto +1
We study the Representative Volume Element (RVE) method, which is a method to approximately infer the effective behavior of a stationary random medium. The latter…
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…