129 citations · 637 across the 37 of their papers we have counts for
4 papers · 1 filter
Local well-posedness of subcritical non-linear heat equations with Gaussian initial data
Ilya Chevyrev, Hora Mirsajjadi
We show that any non-linear heat equation with scaling critical dimension is locally well-posed when its initial condition is taken as the Gaussian free field in fractional di…
A multiplicative surface signature through its Magnus expansion
Ilya Chevyrev, Joscha Diehl, Kurusch Ebrahimi-Fard +1
In the last decade, the concept of path signature has achieved significant success in data science applications. It offers a powerful set of features that effectively capture and d…
Villain action in lattice gauge theory
Ilya Chevyrev, Christophe Garban
We prove that Villain interaction applied to lattice gauge theory can be obtained as the limit of both Wilson and Manton interactions on a larger graph which we call the {\em carpe…
Rough path theory
Ilya Chevyrev
The theory of rough paths arose from a desire to establish continuity properties of ordinary differential equations involving terms of low regularity. While essentially an analytic…