4 papers
Intermittency of geometric Brownian motion on
Sefika Kuzgun, Felix Otto, Christian Wagner
This short note is motivated by a recently discovered connection between a drift-diffusion process in -dimensional Euclidean space with a divergence-free drift sampled from a st…
A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on
Peter S. Morfe, Felix Otto, Christian Wagner
This paper concerns the so-called diffusion in the curl of the 2d Gaussian free field, and its generalization to higher dimensions , building on the scale-by-scale homoge…
On minimizing curves in a Brownian potential
Felix Otto, Matteo Palmieri, Christian Wagner
We study a -dimensional semi-discrete random variational problem that can be interpreted as the geometrically linearized version of the critical -dimensional random field…
A Critical Drift-Diffusion Equation: Connections to the Diffusion on
Peter Morfe, Felix Otto, Christian Wagner
In this note, we connect two seemingly unrelated objects: On the one hand is a two-dimensional drift-diffusion process with divergence-free and time-independent drift . The…