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math.AP2026
A PDE approach to the 2D Yang-Mills measure
Ilya Chevyrev, Tom Klose, Abdulwahab Mohamed
We introduce the concept of rough additive functions, which extends rough paths theory to line integrals of distributional 1-forms. In the context of gauge theory, we use this noti…
math.AP2025
Large field problem in coercive singular PDEs
Ilya Chevyrev, Massimiliano Gubinelli
We derive a priori estimates for singular differential equations of the form \[ \mathcal{L} Ï= P(Ï,\nablaÏ) + f(Ï,\nablaÏ)ξ\] where is a polynomial, is a sufficiently…