688 citations
- Centre National de la Recherche ScientifiqueFR398 papers
- Laboratoire de Mathématiques Nicolas OresmeFR124 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR122 papers
- Université Savoie Mont BlancFR113 papers
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- Université Blaise PascalFR96 papers
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- Laboratoire de Mathématiques de VersaillesFR76 papers
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69 papers · 1 filter
Operads and bialgebras of multi-indices, and Novikov algebras
Loïc Foissy
Noncommutative multi-indices are noncommutative monomials in a -indexed family of indeterminates. We define on them a -graded operadic structure, with the h…
Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
Loïc Foissy, Yunzhou Xie, Dawei Zhang +1
The concept of weighted infinitesimal bialgebras provides an algebraic framework for understanding the non-homogeneous associative Yang-Baxter equation. In this paper, we endow the…
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…
On -deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Sam Evans, Perrine Jouteur, Sophie Morier-Genoud +1
We consider a natural -deformation of the classical Markov numbers. This -deformation is closely related to -deformed rational numbers recently introduced by two of us. Bo…
Single-exponential bounds for diagonals of D-finite power series
Shaoshi Chen, Frédéric Chyzak, Pingchuan Ma +1
D-finite power series appear ubiquitously in combinatorics, number theory, and mathematical physics. They satisfy systems of linear partial differential equations whose solution sp…
Singular walks in the quarter plane and Bernoulli numbers
Alin Bostan, Lucia Di Vizio, Kilian Raschel
We consider singular (aka genus ) walks in the quarter plane and their associated generating functions , which enumerate the walks starting from the origin, of fixed e…