6 citations · 11 across the 4 of their papers we have counts for
4 papers
A local Theory of Domains and its (Noncommutative) Symbolic Counterpart
V. C. Bui, G. H. E. Duchamp, V. Hoang Ngoc Minh +2
It is widely accepted nowadays that polyzetas are connected by polynomial relations. One way to obtain relations among polyzetas is to consider their generating series and the rela…
Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras
Van Chien Bui, Gerard H. E. Duchamp, Vincel Hoang Ngoc Minh
Polyzetas, indexed by words, satisfy shuffle and quasi-shuffle identities. In this respect, one can explore the multiplicative and algorithmic (locally finite) properties of their…
(Pure) transcendence bases in -deformed shuffle bialgebras
Van Chiên Bui, Gérard H. E. Duchamp, Quoc Hoan Ngô +2
Computations with integro-differential operators are often carried out in an associative algebra with unit, and they are essentially non-commutative computations. By adjoining a co…
Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization
Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh +1
In this work, an effective construction, via Schützenberger's monoidal factorization, of dual bases for the non commutative symmetric and quasi-symmetric functions is proposed.