Peter S. Morfe

activity

20222025

most citedThe Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off

2 citations · 2 across the 5 of their papers we have counts for

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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…

math.PR2024

The Gaussian free-field as a stream function: continuum version of the scale-by-scale homogenization result

Peter Morfe, Felix Otto, Christian Wagner

This note is about a drift-diffusion process $X$ with a time-independent, divergence-free drift $b$ , where $b$ is a smooth Gaussian field that decorrelates over large scales. In tw…

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

Diffuse Interface Energies with Microscopic Heterogeneities I: Homogenization

The Gaussian free-field as a stream function: continuum version of the scale-by-scale homogenization result

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