2 papers
math.RA2020
The universal pre-Lie-Rinehart algebras of aromatic trees
Gunnar Fløystad, Dominique Manchon, Hans Z. Munthe-Kaas
We organize colored aromatic trees into a pre-Lie-Rinehart algebra (i.e. a flat torsion-free Lie-Rinehart algebra) endowed with a natural trace map, and show the freeness of this o…
math.CA2018
Planarly branched rough paths and rough differential equations on homogeneous spaces
Charles Curry, Kurusch Ebrahimi-Fard, Dominique Manchon +1
The central aim of this work is to understand rough differential equations on homogeneous spaces. We focus on the formal approach, by giving an explicit expansion of the solution a…