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math.PR2026
A variational approach for the 2D Abelian Yang-Mills-Higgs measure
Nikolay Barashkov, Ajay Chandra, Ilya Chevyrev +2
We use the Boué-Dupuis variational method to construct the Abelian Yang-Mills-Higgs measure on the two-dimensional torus with polynomial Higgs potentials, giving, to our knowledge,…
math.PR2026
Locality of rough path lifts
Ilya Chevyrev, Emilio Ferrucci
Every Hölder continuous path admits a geometric rough path lift by the Lyons--Victoir extension theorem. A natural question that emerges when lifting more than…