Novikov algebras and multi-indices in regularity structures
Abstract
In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recently introduced in the context of singular stochastic partial differential equations can be interpreted as free multi-Novikov algebras. This is parallel to the fact that decorated rooted trees arising in the context of regularity structures are related to free multi-pre-Lie algebras.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Protein Interaction Studies and Fluorescence Analysis
Publication details
- Journal / source
- Annales Henri Lebesgue
- Volume
- 9
- Pages
- 791–814
- Publication date
- 11 September 2026
- Language
- EN