Parametrization of renormalized models for singular stochastic PDEs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908786728370176 |
|---|---|
| author | Bailleul, I. Bruned, Y. |
| author_facet | Bailleul, I. Bruned, Y. |
| contents | Let $\mathscr{T}$ be the regularity structure associated with a given system of singular stochastic PDEs. The paracontrolled representation of the $\sf Π$ map provides a linear parametrization of the nonlinear space of admissible models $\sf M=(g,Π)$ on $\mathscr{T}$, in terms of the family of para-remainders used in the representation. We give an explicit description of the action of the most general class of renormalization schemes presently available on the parametrization space of the space of admissible models. The action is particularly simple for renormalization schemes associated with degree preserving preparation maps; the BHZ renormalization scheme has that property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_08932 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Parametrization of renormalized models for singular stochastic PDEs Bailleul, I. Bruned, Y. Probability Analysis of PDEs Rings and Algebras Let $\mathscr{T}$ be the regularity structure associated with a given system of singular stochastic PDEs. The paracontrolled representation of the $\sf Π$ map provides a linear parametrization of the nonlinear space of admissible models $\sf M=(g,Π)$ on $\mathscr{T}$, in terms of the family of para-remainders used in the representation. We give an explicit description of the action of the most general class of renormalization schemes presently available on the parametrization space of the space of admissible models. The action is particularly simple for renormalization schemes associated with degree preserving preparation maps; the BHZ renormalization scheme has that property. |
| title | Parametrization of renormalized models for singular stochastic PDEs |
| topic | Probability Analysis of PDEs Rings and Algebras |
| url | https://arxiv.org/abs/2106.08932 |