129 citations · 316 across the 45 of their papers we have counts for
Showing 2020 · math.PRShow all
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math.PR2020★ 18 cited
Algebraic deformation for (S)PDEs
Yvain Bruned, Dominique Manchon
We introduce a new algebraic framework based on the deformation of pre-Lie products. This allows us to provide a new construction of the algebraic objects at play in Regularity Str…
math.PR2020★ 8 cited
Renormalisation from non-geometric to geometric rough paths
Yvain Bruned
The Hairer-Kelly map has been introduced for establishing a correspondence between geometric and non-geometric rough paths. Recently, a new renormalisation on rough paths has been…
math.PR2020★ 1 cited
Bogoliubov type recursions for renormalisation in regularity structures
Yvain Bruned, Kurusch Ebrahimi-Fard
Hairer's regularity structures transformed the solution theory of singular stochastic partial differential equations. The notions of positive and negative renormalisation are centr…