3 papers
math.PR2026
Universality of two-dimensional Markovian holonomy fields
Thibaut Lemoine, Elias Nohra
We prove a universality theorem for a broad class of two-dimensional gauge theories on compact surfaces. Each admissible conjugation-invariant Lévy process on a compact connected L…
math.PR2026
Semiclassical analysis for Yang--Mills random connections on compact surfaces
Nguyen Viet Dang, Elias Nohra
We introduce anisotropic Banach spaces of distributional 1-forms on compact surfaces designed to capture the fine regularity properties of Morse gauge-fixed Yang--Mills random conn…
math.PR2026
The Yang--Mills measure on compact surfaces as a universal scaling limit of lattice gauge models
Nguyen Viet Dang, Elias Nohra
In this article, we study the 2 dimensional Yang--Mills measure on compact surfaces from a unified continuum and discrete perspective. We construct the Yang--Mills measure as a ran…