Composition and substitution of Regularity Structures B-series

Autor:	Bruned, Yvain
Rok vydání:	2023
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Mathematics - Numerical Analysis Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	In this work, we introduce Regularity Structures B-series which are used for describing solutions of singular stochastic partial differential equations (SPDEs). We define composition and substitutions of these B-series and as in the context of B-series for ordinary differential equations, these operations can be rewritten via products and Hopf algebras which have been used for building up renormalised models. These models provide a suitable topology for solving singular SPDEs. This new construction sheds a new light on these products and open interesting perspectives for the study of singular SPDEs in connection with B-series. Comment: 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.14242 Zobrazit plný text záznamu View this record from Arxiv