6 papers
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…
Perturbative renormalisation of the model via generalized Wick maps
Nils Berglund, Tom Klose, Nikolas Tapia
We consider the perturbative renormalisation of the model from Euclidean Quantum Field Theory for any, possibly non-integer dimension . The so-called BPHZ renormalisa…
A Rough Functional Breuer-Major Theorem
Henri Elad Altman, Tom Klose, Nicolas Perkowski
We extend the functional Breuer-Major theorem by Nourdin and Nualart (2020) to the space of rough paths. The proof of tightness combines the multiplication formula for iterated Mal…
Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension
Giuseppe Cannizzaro, Tom Klose, Quentin Moulard
We study the large-scale behaviour of a class of driven diffusive systems modelled by a Stochastic Partial Differential Equation, the Stochastic Burgers Equation (SBE) with general…
Large Deviations of the Measure via Stochastic Quantisation
Tom Klose, Avi Mayorcas
The measure is one of the easiest non-trivial examples of a Euclidean quantum field theory (EQFT) whose rigorous construction in the 1970's has been one of the celebrated…
Gaussian Rough Paths Lifts via Complementary Young Regularity
Paul Gassiat, Tom Klose
Inspired by recent advances in singular SPDE theory, we use the Poincaré inequality on Wiener space to show that controlled complementary Young regularity is sufficient to obtain…