1 citations · 1 across the 7 of their papers we have counts for
7 papers
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,…
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…
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…
From path integral quantization to stochastic quantization: a pedestrian's journey
Dario Benedetti, Ilya Chevyrev, Razvan Gurau
We give two novel proofs that the path integral and stochastic quantizations of generic scalar Euclidean quantum field theories are equivalent. Our proofs rely on Taylor interpolat…
Large field problem in coercive singular PDEs
Ilya Chevyrev, Massimiliano Gubinelli
We derive a priori estimates for singular differential equations of the form \[ \mathcal{L} ϕ= P(ϕ,\nablaϕ) + f(ϕ,\nablaϕ)ξ\] where is a polynomial, is a sufficiently well-…
Wilson-Itô diffusions
Ismael Bailleul, Ilya Chevyrev, Massimiliano Gubinelli
We introduce Wilson-Itô diffusions, a class of random fields on that change continuously along a scale parameter via a Markovian dynamics with local coefficients. De…
On the Number of Facets of Polytopes Representing Comparative Probability Orders
Ilya Chevyrev, Dominic Searles, Arkadii Slinko
Fine and Gill (1973) introduced the geometric representation for those comparative probability orders on n atoms that have an underlying probability measure. In this representation…