Recursive formulae in regularity structures

Yvain Bruned

doi:10.1007/s40072-018-0115-z

Recursive formulae in regularity structures

Yvain Bruned

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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 Bruned–Hairer–Zambotti (Algebraic renormalisation of regularity structures, 2016. arXiv:1610.08468).

Original language	English
Pages (from-to)	525-564
Number of pages	40
Journal	Stochastics and Partial Differential Equations: Analysis and Computations
Volume	6
Issue number	4
Early online date	13 Apr 2018
DOIs	https://doi.org/10.1007/s40072-018-0115-z
Publication status	Published - Dec 2018

Access to Document

10.1007/s40072-018-0115-z

10.1007_s40072-018-0115-zFinal published version, 726 KB

https://link.springer.com/article/10.1007%2Fs40072-018-0115-z

Cite this

@article{811713e7033b4a11bfc8e99d44f8b4e6,

title = "Recursive formulae in regularity structures",

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 Bruned–Hairer–Zambotti (Algebraic renormalisation of regularity structures, 2016. arXiv:1610.08468).",

author = "Yvain Bruned",

year = "2018",

month = dec,

doi = "10.1007/s40072-018-0115-z",

language = "English",

volume = "6",

pages = "525--564",

journal = "Stochastics and Partial Differential Equations: Analysis and Computations",

issn = "2194-0401",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Recursive formulae in regularity structures

AU - Bruned, Yvain

PY - 2018/12

Y1 - 2018/12

N2 - 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 Bruned–Hairer–Zambotti (Algebraic renormalisation of regularity structures, 2016. arXiv:1610.08468).

AB - 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 Bruned–Hairer–Zambotti (Algebraic renormalisation of regularity structures, 2016. arXiv:1610.08468).

U2 - 10.1007/s40072-018-0115-z

DO - 10.1007/s40072-018-0115-z

M3 - Article

SN - 2194-0401

VL - 6

SP - 525

EP - 564

JO - Stochastics and Partial Differential Equations: Analysis and Computations

JF - Stochastics and Partial Differential Equations: Analysis and Computations

IS - 4

ER -

Recursive formulae in regularity structures

Abstract / Description of output

Access to Document

Fingerprint

Cite this