Nils Berglund

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math.PR2026

Topics in Gaussian Wiener chaos expansion

Nils Berglund

These notes have been written for a series of lectures to be given at the 44th Finnish Summer School on Probability and Statistics in Lammi, Finland, from 25th to 29th May, 2026. T…

math.PR2026

Perturbative renormalisation of the $I^¦_{4 - ε}^{4}$ model via generalized Wick maps

Nils Berglund, Tom Klose, Nikolas Tapia

We consider the perturbative renormalisation of the $I^¦_{d}^{4}$ model from Euclidean Quantum Field Theory for any, possibly non-integer dimension $d < 4$ . The so-called BPHZ renormalisa…

math.PR2024

BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional $I^¦_{d}^{3}$ model

Nils Berglund, Yvain Bruned

We consider stochastic PDEs on the $d$ -dimensional torus with fractional Laplacian of parameter $I ¨ \in (0, 2]$ , quadratic nonlinearity and driven by space-time white noise. These equ…

Topics in Gaussian Wiener chaos expansion

Perturbative renormalisation of the I^¦4−ε4​ model via generalized Wick maps

BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional I^¦d3​ model

Perturbative renormalisation of the $I^¦_{4 - ε}^{4}$ model via generalized Wick maps

BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional $I^¦_{d}^{3}$ model