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math.PR2025
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…
math.PR2024
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…