9 papers · 1 filter
Asymptotics of a planar isoperimetric problem with a white-noise volume term
Xiaopeng Cheng, Felix Otto, Matteo Palmieri
In this work we study the maximal ratio between the white noise integrated over a set and the perimeter of the set, which can be seen as a random isoperimetric problem, and app…
A geometrically linear approximation of min-max optimal matching
Xiaopeng Cheng, Felix Otto, Matteo Palmieri +1
In this work we establish a connection between the min-max optimal matching in the critical dimension and a simpler, geometrically linear, action of random curves in a Browni…
Quantitative homogenization of the maximal action of curves in a Brownian potential
Felix Otto, Matteo Palmieri
Motivated by an optimal-matching problem (Leighton-Shor) and the random-field Ising model (Aizenman-Wehr, Ding-Wirth), we consider a variational problem for graphs in dimensi…
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…