Recursive formulae in regularity structures
arXiv:1710.10634 · doi:10.1007/s40072-018-0115-z
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].
Stochastics and Partial Differential Equations: Analysis and Computations, December 2018, Volume 6, Issue 4, pp 525-564