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math.CO2025
Tridendriform and dendriform Zeta Values from Schroeder trees
Pierre Catoire, Pierre Clavier, Douglas Modesto da Fraga Candido
To build new generalisations of Multiple Zeta Values, we define new spaces of formal series and formal integrals. We show that they are tridendriform and dendriform algebras. This…
math.CO2025
Coalgebras, bialgebras and Rota-Baxter algebras from shuffles of rooted forests
Pierre J. Clavier, Douglas Modesto
We construct and study new generalisations to rooted trees and forests of some properties of shuffles of words. First, we build a coproduct on rooted trees which, together with the…