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Various Bialgebras Of Representative Functions On Free Monoids
Vincel Hoang Ngoc Minh
Factorization and decomposition of representative functions on a free monoid X * (generated by an alphabet X ) and with values in a ring A containing Q are equivalent to factorizat…
Hyperlogarithms: Functions on Free Monoids
Vincel Hoang Ngoc Minh
To factorize and to decompose the graphs of representative functions on the free monoid X * (generated by the alphabet X ) with values in the ring A containing Q, we examine variou…
On the Algebraic Bases of Polyzetas
Vincel Hoang Ngoc Minh
Two confluent rewriting systems in noncommutatives polynomials are constructed using the equations allowing the identification of the local coordinates (of second kind) of the grap…
Mathematical renormalization in quantum electrodynamics via noncommutative generating series
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngo +2
In this work, we focus on on the approach by noncommutative formal power series to study the combinatorial aspects of the renormalization at the singularities in …