Bisections Reconnaissables. - Gérard Duchamp; Jean-Yves Thibon (RAIRO Theor. Informatics Appl., 1988)

Theoremes de Transfert pour les Polynomes Partiellement Commutatifs. - Gérard Duchamp; Jean-Yves Thibon (Theor. Comput. Sci., 1988)

Le support de l'algebre de lie libre. - Gérard Duchamp; Jean-Yves Thibon (Discret. Math., 1989)

Partially Commutative Formal Power Series. - Gérard Duchamp; Daniel Krob (Semantics of Systems of Concurrent Processes, 1990)

Lazard's Factorizations of Free Partially Commutative Monoids. - Gérard Duchamp; Daniel Krob (ICALP, 1991)

Orthogonal Projection Onto the Free Lie Algebra. - Gérard Duchamp (Theor. Comput. Sci., 1991)

Simple Orderings for Free Partially Commutative Groups. - Gérard Duchamp; Jean-Yves Thibon (Int. J. Algebra Comput., 1992)

On the Partially Commutative Shuffle Product. - Gérard Duchamp; Daniel Krob (Theor. Comput. Sci., 1992)

Partially Commutative Magnus Transformations. - Gérard Duchamp; Daniel Krob (Int. J. Algebra Comput., 1993)

Combinatorics in Trace Monoids II. - Gérard Duchamp; Daniel Krob (The Book of Traces, 1995)

Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras. - Gérard Duchamp; Alexander Klyachko; Daniel Krob; Jean-Yves Thibon (Discret. Math. Theor. Comput. Sci., 1997)

Operations over Automata with Multiplicities. - Gérard Duchamp; Marianne Flouret; Éric Laugerotte (Workshop on Implementing Automata, 1998)

SEA: A Symbolic Environment for Automata Theory. - Philippe Andary; Pascal Caron; Jean-Marc Champarnaud; Gérard Duchamp; Marianne Flouret; Éric Laugerotte (WIA, 1999)

Brzozowski's Derivatives Extended to Multiplicities. - Jean-Marc Champarnaud; Gérard Duchamp (CIAA, 2001)

Direct and dual laws for automata with multiplicities. - Gérard Duchamp; Marianne Flouret; Éric Laugerotte; Jean-Gabriel Luque (Theor. Comput. Sci., 2001)

Transitive factorizations of free partially commutative monoids and Lie algebras. - Gérard Duchamp; Jean-Gabriel Luque (Discret. Math., 2002)

Noncommutative Symmetric Functions Vi: Free Quasi-Symmetric Functions and Related Algebras. - Gérard Duchamp; Florent Hivert; Jean-Yves Thibon (Int. J. Algebra Comput., 2002)

On the support of graph Lie algebras. - Gérard Duchamp; Éric Laugerotte; Jean-Gabriel Luque (Theor. Comput. Sci., 2002)

Free quasi-symmetric functions, product actions and quantum field theory of partitions - Gérard Henry Edmond Duchamp; Jean-Gabriel Luque; Karol A. Penson; Christophe Tollu (CoRR, 2004)

Algebraic Elimination of epsilon-transitions - Gérard Duchamp; Hatem Hadj Kacem; Éric Laugerotte (CoRR, 2004)

An unexpected application of minimization theory to module decompositions - Gérard Duchamp; Hatem Hadj Kacem; Éric Laugerotte (CoRR, 2004)

Derivatives of rational expressions and related theorems. - Jean-Marc Champarnaud; Gérard Duchamp (Theor. Comput. Sci., 2004)

Rewriting tables and memorized semirings. - Gérard Duchamp; Khalaf Khatatneh; Cyrille Bertelle (ICECS, 2005)

Evolutive complex scheduling in interaction networks for quality improvment in geographical data base updating. - Hakima Kadri-Dahmani; Cyrille Bertelle; Gérard Duchamp; Aomar Osmani (ICECS, 2005)

Tables, Memorized Semirings and Applications - Cyrille Bertelle; Gérard Henry Edmond Duchamp; Khalaf Khatatneh (CoRR, 2005)

Feynman graphs and related Hopf algebras - Gérard Henry Edmond Duchamp; Pawel Blasiak; Andrzej Horzela; Karol A. Penson; Allan I. Solomon (CoRR, 2005)

Automata-based adaptive behavior for economic modeling using game theory - Rawan Ghnemat; Khalaf Khatatneh; Saleh Oqeili; Cyrille Bertelle; Gérard Henry Edmond Duchamp (CoRR, 2005)

Transitive Hall sets - Gérard Henry Edmond Duchamp; Jean-Gabriel Luque; Marianne Deboysson-Flouret (CoRR, 2005)

Algebraic elimination of epsilon-transitions. - Gérard Duchamp; Hatem Hadj Kacem; Éric Laugerotte (Discret. Math. Theor. Comput. Sci., 2005)

A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams - Gérard Henry Edmond Duchamp; Allan I. Solomon; Pawel Blasiak; Karol A. Penson; Andrzej Horzela (CoRR, 2006)

Extending the scalars of minimizations - Gérard Duchamp; Éric Laugerotte; Jean-Gabriel Luque (CoRR, 2006)

Adaptive Automata Community Detection and Clustering: A generic methodology. - Rawan Ghnemat; Cyrille Bertelle; Gérard Henry Edmond Duchamp (World Congress on Engineering, 2007)

Moderate Growth Time Series for Dynamic Combinatorics Modelisation - Luaï Jaff; Gérard Henry Edmond Duchamp; Hatem Hadj Kacem; Cyrille Bertelle (CoRR, 2007)

Sweedler's duals and Schützenberger's calculus - Gérard Henry Edmond Duchamp; Christophe Tollu (CoRR, 2007)

Automata-based Adaptive Behavior for Economical Modelling Using Game Theory - Rawan Ghnemat; Saleh Oqeili; Cyrille Bertelle; Gérard Henry Edmond Duchamp (CoRR, 2007)

Lazard's Elimination (in Traces) is Finite-State Recognizable. - Gérard Duchamp; Jean-Gabriel Luque (Int. J. Algebra Comput., 2007)

Hopf Algebras in General and in Combinatorial Physics: a practical introduction - Gérard Henry Edmond Duchamp; Pawel Blasiak; Andrzej Horzela; Karol A. Penson; Allan I. Solomon (CoRR, 2008)

Approximate substitutions and the normal ordering problem - H. Cheballah; Gérard Henry Edmond Duchamp; Karol A. Penson (CoRR, 2008)

Rational Hadamard products via Quantum Diagonal Operators - Gérard Henry Edmond Duchamp; Silvia Goodenough; Karol A. Penson (CoRR, 2008)

Shift operators and complex systems. - Luaï Jaff; Cyrille Bertelle; Gérard Henry Edmond Duchamp (Int. J. Model. Identif. Control., 2008)

Emergent property of consistent updated geographical database. - Hakima Kadri-Dahmani; Cyrille Bertelle; Gérard Henry Edmond Duchamp; Aomar Osmani (Int. J. Model. Identif. Control., 2008)

Some Open Problems in Combinatorial Physics - Gérard Henry Edmond Duchamp; H. Cheballah (CoRR, 2009)

Generalized powers for the Riordan group - Laurent Poinsot; Gérard Duchamp (CoRR, 2009)

Combinatorial Deformations: Twisting and Perturbations - Gérard Henry Edmond Duchamp; Christophe Tollu; H. Cheballah; Karol A. Penson; Gleb A. Koshevoy (CoRR, 2009)

Statistics on Graphs, Exponential Formula and Combinatorial Physics - Laurent Poinsot; Gérard Henry Edmond Duchamp; Silvia Goodenough; Karol A. Penson (CoRR, 2009)

Möbius inversion formula for monoids with zero - Laurent Poinsot; Gérard Duchamp; Christophe Tollu (CoRR, 2009)

A multi-step differential transform method and application to non-chaotic or chaotic systems. - Zaid M. Odibat; Cyrille Bertelle; M. A. Aziz-Alaoui; Gérard Duchamp (Comput. Math. Appl., 2010)

An interface between physics and number theory. - Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh; Allan I. Solomon; Silvia Goodenough (CoRR, 2010)

Partial monoids: associativity and confluence - Laurent Poinsot; Gérard Duchamp; Christophe Tollu (CoRR, 2010)

Ladder Operators and Endomorphisms in Combinatorial Physics. - Gérard Duchamp; Laurent Poinsot; Allan I. Solomon; Karol A. Penson; Pawel Blasiak; Andrzej Horzela (Discret. Math. Theor. Comput. Sci., 2010)

On certain non-unique solutions of the Stieltjes moment problem. - Karol A. Penson; Pawel Blasiak; Gérard Duchamp; Andrzej Horzela; Allan I. Solomon (Discret. Math. Theor. Comput. Sci., 2010)

Modelling spatial self-organisation with swarm intelligence processes. - Rawan Ghnemat; Cyrille Bertelle; Gérard Duchamp (Int. J. Bio Inspired Comput., 2010)

Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics. - Matthieu Deneufchâtel; Gérard Duchamp; Vincel Hoang Ngoc Minh; Allan I. Solomon (CAI, 2011)

Hopf Algebras of Diagrams. - Gérard Henry Edmond Duchamp; Jean-Gabriel Luque; Jean-Christophe Novelli; Christophe Tollu; Frédéric Toumazet (Int. J. Algebra Comput., 2011)

Definite integrals and operational methods. - D. Babusci; Giuseppe Dattoli; Gérard Henry Edmond Duchamp; Katarzyna Górska; Karol A. Penson (Appl. Math. Comput., 2012)

The Ramanujan master theorem and its implications for special functions. - Katarzyna Górska; D. Babusci; Giuseppe Dattoli; Gérard Henry Edmond Duchamp; Karol A. Penson (Appl. Math. Comput., 2012)

Dual families in enveloping algebras. - Gérard H. E. Duchamp; Vincel Hoang Ngoc Minh (ACM Commun. Comput. Algebra, 2012)

A Selection-Quotient Process for Packed Word Hopf Algebra. - Gérard Henry Edmond Duchamp; Nguyen Hoang Nghia; Adrian Tanasa (CAI, 2013)

Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach. - Gérard H. E. Duchamp; Nguyen Hoang Nghia; Thomas Krajewski; Adrian Tanasa (Adv. Appl. Math., 2013)

Schützenberger's factorization on q?stuffle Hopf algebra. - Chen Bui; Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh (ACM Commun. Comput. Algebra, 2013)

Renormalization group-like proof of the universality of the Tutte polynomial for matroids. - Gérard Henry Edmond Duchamp; Nguyen Hoang Nghia; Thomas Krajewski; Adrian Tanasa (CoRR, 2013)

Combinatorics of $φ$-deformed stuffle Hopf algebras - Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh; Christophe Tollu; Bùi Chiên; Nguyen Hoang Nghia (CoRR, 2013)

Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization - Gérard Henry Edmond Duchamp; Ladji Kane; Vincel Hoang Ngoc Minh; Christophe Tollu (CoRR, 2013)

Schützenberger's factorization on the (completed) Hopf algebra of $q-$stuffle product - Chen Bui; Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh (CoRR, 2013)

A combinatorial non-commutative Hopf algebra of graphs. - Adrian Tanasa; Gérard Henry Edmond Duchamp; Loïc Foissy; Nguyen Hoang Nghia; Dominique Manchon (Discret. Math. Theor. Comput. Sci., 2014)

Computation tool for the q-deformed quasi-shuffle algebras and representations of structure of MZVs. - Van Chiên Bui; Gérard Duchamp; Vincel Hoang Ngoc Minh (ACM Commun. Comput. Algebra, 2015)

Harmonic sums and polylogarithms at negative multi-indices. - Gérard Duchamp; Vincel Hoang Ngoc Minh; Quoc Hoan Ngô (ACM Commun. Comput. Algebra, 2015)

(Pure) transcendence bases in φ-deformed shuffle bialgebras. - Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh; Christophe Tollu; Van Chiên Bui; Quoc Hoan Ngô (CoRR, 2015)

The algebra of Kleene stars of the plane and polylogarithms. - Ngoc Hoang; Gérard Duchamp; Vincel Hoang Ngoc Minh (CoRR, 2016)

Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization. - Van Chiên Bui; Gérard Duchamp; Vincel Hoang Ngoc Minh; Ladji Kane; Christophe Tollu (J. Symb. Comput., 2016)

On Drinfel'd associators. - Gérard Duchamp; Ngoc Minh; Karol A. Penson (CoRR, 2017)

The mechanics of shuffle products and their siblings. - Gérard H. E. Duchamp; Jean-Yves Enjalbert; Vincel Hoang Ngoc Minh; Christophe Tollu (Discret. Math., 2017)

Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras. - Van Chiên Bui; Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh (J. Symb. Comput., 2017)

Harmonic sums and polylogarithms at non-positive multi-indices. - Gérard Henry Edmond Duchamp; Vincel Hoang Ngoc Minh; Quoc Hoan Ngô (J. Symb. Comput., 2017)

About Some Drinfel'd Associators. - Gérard H. E. Duchamp; Vincel Hoang Ngoc Minh; Karol A. Penson (CASC, 2018)

Kleene stars of the plane, polylogarithms and symmetries. - Vincel Hoang Ngoc Minh; Quoc Hoan Ngô; Gérard Henry Edmond Duchamp; V. Hoang; Ngoc Minh; Ngo Quoc; Phan Dang Luu; Kien An; Hai Phong; Viet Nam (CoRR, 2018)

Kleene stars of the plane, polylogarithms and symmetries. - Gérard H. E. Duchamp; Vincel Hoang Ngoc Minh; Quoc Hoan Ngô (Theor. Comput. Sci., 2019)

Towards a noncommutative Picard-Vessiot theory. - Gérard H. E. Duchamp; Vincel Hoang Ngoc Minh; Vu Nguyen Dinh (CoRR, 2020)

Elementary remarks about Pisano periods. - Gérard H. E. Duchamp; Pierre Simonnet (CoRR, 2022)

Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart. - Van Chiên Bui; Gérard H. E. Duchamp; Quoc Hoan Ngô; Vincel Hoang Ngoc Minh; Vu Nguyen Dinh (Math. Comput. Sci., 2023)

About enveloping algebras of direct sums. - Gérard Henry Edmond Duchamp; Christophe Tollu; Jean-Gabriel Luque; Vu Nguyen Dinh (CoRR, 2024)

Elementary methods for splitting representations of Rook monoids: a gentle introduction to groupoids. - Gérard Henry Edmond Duchamp; Joseph Ben Geloun; Christophe Tollu (CoRR, 2024)