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math.CO2026
Graftings and cograftings for species
Pierre Clavier, Yannic Vargas
We introduce graftings and cograftings for vector species, modelled on the elementary operations of adjoining and deleting a root in a rooted forest. We relate these maps to operad…
math.NT2026
Regularised double shuffle relations for planar Arborified Zeta Values
Pierre Catoire, Pierre J. Clavier, Ku-Yu Fan
We endow spaces of decorated planar rooted trees with new dendriform and tridendrifrom algebra structures and provide their combinatorial description. We then show that the planar…