Publications (20)
From Quantum Mechanics to Quantum Field Theory: The Hopf route
Allan I. Solomon, Gérard Henry Edmond Duchamp, Pawel Blasiak +2
Mathematical renormalization in quantum electrodynamics via noncommutative generating series
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngo +2
Tables, Memorized Semirings and Applications
Cyrille Bertelle, Gérard Henry Edmond Duchamp, Khalaf Khatatneh
Feynman graphs and related Hopf algebras
Gérard Henry Edmond Duchamp, Pawel Blasiak, Andrzej Horzela +2
Rational Hadamard products via Quantum Diagonal Operators
Gérard Henry Edmond Duchamp, Silvia Goodenough, Karol A. Penson
An interface between physics and number theory
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon +1
Transitive factorizations of free partially commutative monoids and Lie algebras
Jean-Gabriel Luque, Gérard Henry Edmond Duchamp
Independence of hyperlogarithms over function fields via algebraic combinatorics
Matthieu Deneufchâtel, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh +1
Some Open Problems in Combinatorial Physics
Gérard Henry Edmond Duchamp, H. Cheballah
A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
Gérard Henry Edmond Duchamp, Allan I. Solomon, Pawel Blasiak +2
Combinatorial Deformations of Algebras: Twisting and Perturbations
Gérard Henry Edmond Duchamp, Christophe Tollu, K. A. Penson +1
Ladder Operators and Endomorphisms in Combinatorial Physics
Gérard Henry Edmond Duchamp, Laurent Poinsot, Allan I. Solomon +3
Combinatorics of $Ï$-deformed stuffle Hopf algebras
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu +2
Automata-based adaptive behavior for economic modeling using game theory
Rawan Ghnemat, Khalaf Khatatneh, Saleh Oqeili +2
Congruences Compatible with the Shuffle Product
Gérard Henry Edmond Duchamp, Jean-Gabriel Luque
Schützenberger's factorization on the (completed) Hopf algebra of $q-$stuffle product
Chen Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh
Automata-based Adaptive Behavior for Economical Modelling Using Game Theory
Rawan Ghnemat, Saleh Oqeili, Cyrille Bertelle +1
Transitive Hall sets
Gérard Henry Edmond Duchamp, Jean-Gabriel Luque, Marianne Deboysson-Flouret
Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization
Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh +1
A Three Parameter Hopf Deformation of the Algebra of Feynman-like Diagrams
Gérard Henry Edmond Duchamp, Pawel Blasiak, Andrzej Horzela +2