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math.CT2024
Volume preservation of Butcher series methods from the operad viewpoint
Vladimir Dotsenko, Paul Laubie
We study a coloured operad involving rooted trees and directed cycles of rooted trees that generalizes the operad of rooted trees of Chapoton and Livernet. We describe all the rela…
math.QA2024
Hypertrees and embedding of the operad
Paul Laubie
The operad encodes the algebraic structure on vector fields of Frobenius manifolds, in the same way as the operad encodes the algebraic structure on…