We provide a relatively compact proof of the BPHZ theorem for regularity structures of decorated trees in the case where the driving noise satisfies a suitable spectral gap property, as in the Gaussian case. This is inspired by the recent work (Linares et al. in A ...
We provide a self-contained formulation of the BPHZ theorem in the Euclidean context, which yields a systematic procedure to "renormalise" otherwise divergent integrals appearing in generalised convolutions of functions with a singularity of prescribed order at their origin. We hope that the ...
We provide a self-contained formulation of the BPHZ theorem in the Euclidean context, which yields a systematic procedure to"renormalise"otherwise divergent integrals appearing in generalised convolutions of functions with a singularity of prescribed order at their origin.We hope that the formulation ...