Calculus of Variations and Geometric Measure Theory

J. D. Deuschel - C. Thierbach - B. Zwicknagl

A Variational Characterization of a Gibbs Measure related to the Aviles-Giga Functional

created by thierbach on 04 Aug 2026

[BibTeX]

preprint

Inserted: 4 aug 2026

Year: 2026

ArXiv: 2608.01860 PDF

Abstract:

We derive explicit characterizations of Gibbs-measures related to the Aviles-Giga functional. We build on the variational approach presented by Barashkov and Gubinelli (2020) in the context of the $Φ^4_3$-model.