English

Recursive formulae in regularity structures

Probability 2023-10-24 v2 Rings and Algebras

Abstract

We construct renormalised models of regularity structures by using a recursive formulation for the structure group and for the renormalisation group. This construction covers all the examples of singular SPDEs which have been treated so far with the theory of regularity structures and improves the renormalisation procedure based on Hopf algebras given in [BHZ16].

Keywords

Cite

@article{arxiv.1710.10634,
  title  = {Recursive formulae in regularity structures},
  author = {Yvain Bruned},
  journal= {arXiv preprint arXiv:1710.10634},
  year   = {2023}
}

Comments

Stochastics and Partial Differential Equations: Analysis and Computations, December 2018, Volume 6, Issue 4, pp 525-564

R2 v1 2026-06-22T22:28:54.992Z