3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2025
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 renormalisat…