129 citations · 316 across the 45 of their papers we have counts for
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math.RA2025
Post-Lie deformations of pre-Lie algebras and their applications in Regularity Structures
Yvain Bruned, Yunhe Sheng, Rong Tang
In this paper, we study post-Lie deformations of a pre-Lie algebra, namely deforming a pre-Lie algebra into a post-Lie algebra. We construct the differential graded Lie algebra tha…
math.RA2023
Novikov algebras and multi-indices in regularity structures
Yvain Bruned, Vladimir Dotsenko
In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recen…
math.RA2016★ 24 cited
Algebraic renormalisation of regularity structures
Yvain Bruned, Martin Hairer, Lorenzo Zambotti
We give a systematic description of a canonical renormalisation procedure of stochastic PDEs containing nonlinearities involving generalised functions. This theory is based on the…