Peter S. Morfe

collaborators

3 papers

math.PR2025

A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on $SL (n)$

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 $n \geq 2$ , building on the scale-by-scale homoge…

math.PR2024

A Critical Drift-Diffusion Equation: Connections to the Diffusion on $SL (2)$

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 $X$ with divergence-free and time-independent drift $b$ . The…

math.AP2024

Diffuse Interface Energies with Microscopic Heterogeneities I: Homogenization

Peter S. Morfe, Christian Wagner

We analyze Allen-Cahn functionals with stationary ergodic coefficients in the regime where the length scale $δ$ of the heterogeneities is much smaller (microscopic) than the interf…

A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on SL(n)

A Critical Drift-Diffusion Equation: Connections to the Diffusion on SL(2)

Diffuse Interface Energies with Microscopic Heterogeneities I: Homogenization

A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on $SL (n)$

A Critical Drift-Diffusion Equation: Connections to the Diffusion on $SL (2)$