Symmetries for the gKPZ equation via multi-indices

Autor:	Bellingeri, Carlo, Bruned, Yvain
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	In this work, we study the two main symmetries for the one-dimensional generalised KPZ equation (gKPZ): the chain rule and the It\^o Isometry. We consider the equation in the full-subcritical regimes and use multi-indices that avoid an over-parametrization of the renormalised equation to compute the dimension of the two spaces associated with these two symmetries. Our proof is quite elementary and shows that multi-indices provide in this case a simplification in comparison to the results obtained via decorated trees. It also completes the program on the study of the chain rule initiated in arxiv:1902.02884 and continued in arxiv:2403.17066. Comment: 32 pages. Typos and small errors fixed for the triangular system
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.00834 Zobrazit plný text záznamu View this record from Arxiv