Gérard Duchamp

Affiliations:
  • University of Paris 13, France


According to our database1, Gérard Duchamp authored at least 82 papers between 1988 and 2024.

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Bibliography

2024
Elementary methods for splitting representations of Rook monoids: a gentle introduction to groupoids.
CoRR, 2024

About enveloping algebras of direct sums.
CoRR, 2024

2023
Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart.
Math. Comput. Sci., March, 2023

2022
Elementary remarks about Pisano periods.
CoRR, 2022

2020
Towards a noncommutative Picard-Vessiot theory.
CoRR, 2020

2019
Kleene stars of the plane, polylogarithms and symmetries.
Theor. Comput. Sci., 2019

2018
Kleene stars of the plane, polylogarithms and symmetries.
CoRR, 2018

About Some Drinfel'd Associators.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017
Harmonic sums and polylogarithms at non-positive multi-indices.
J. Symb. Comput., 2017

Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras.
J. Symb. Comput., 2017

The mechanics of shuffle products and their siblings.
Discret. Math., 2017

On Drinfel'd associators.
CoRR, 2017

2016
Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization.
J. Symb. Comput., 2016

The algebra of Kleene stars of the plane and polylogarithms.
CoRR, 2016

2015
(Pure) transcendence bases in φ-deformed shuffle bialgebras.
CoRR, 2015

Harmonic sums and polylogarithms at negative multi-indices.
ACM Commun. Comput. Algebra, 2015

Computation tool for the <i>q</i>-deformed quasi-shuffle algebras and representations of structure of MZVs.
ACM Commun. Comput. Algebra, 2015

2014
A combinatorial non-commutative Hopf algebra of graphs.
Discret. Math. Theor. Comput. Sci., 2014

2013
Schützenberger's factorization on the (completed) Hopf algebra of $q-$stuffle product
CoRR, 2013

Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization
CoRR, 2013

Combinatorics of $φ$-deformed stuffle Hopf algebras
CoRR, 2013

Renormalization group-like proof of the universality of the Tutte polynomial for matroids.
CoRR, 2013

Schützenberger's factorization on q?stuffle Hopf algebra.
ACM Commun. Comput. Algebra, 2013

Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach.
Adv. Appl. Math., 2013

A Selection-Quotient Process for Packed Word Hopf Algebra.
Proceedings of the Algebraic Informatics - 5th International Conference, 2013

2012
Dual families in enveloping algebras.
ACM Commun. Comput. Algebra, 2012

The Ramanujan master theorem and its implications for special functions.
Appl. Math. Comput., 2012

Definite integrals and operational methods.
Appl. Math. Comput., 2012

2011
Hopf Algebras of Diagrams.
Int. J. Algebra Comput., 2011

Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics.
Proceedings of the Algebraic Informatics - 4th International Conference, 2011

2010
Modelling spatial self-organisation with swarm intelligence processes.
Int. J. Bio Inspired Comput., 2010

On certain non-unique solutions of the Stieltjes moment problem.
Discret. Math. Theor. Comput. Sci., 2010

Ladder Operators and Endomorphisms in Combinatorial Physics.
Discret. Math. Theor. Comput. Sci., 2010

Partial monoids: associativity and confluence
CoRR, 2010

An interface between physics and number theory.
CoRR, 2010

A multi-step differential transform method and application to non-chaotic or chaotic systems.
Comput. Math. Appl., 2010

2009
Möbius inversion formula for monoids with zero
CoRR, 2009

Statistics on Graphs, Exponential Formula and Combinatorial Physics
CoRR, 2009

Combinatorial Deformations: Twisting and Perturbations
CoRR, 2009

Generalized powers for the Riordan group
CoRR, 2009

Some Open Problems in Combinatorial Physics
CoRR, 2009

2008
Emergent property of consistent updated geographical database.
Int. J. Model. Identif. Control., 2008

Shift operators and complex systems.
Int. J. Model. Identif. Control., 2008

Rational Hadamard products via Quantum Diagonal Operators
CoRR, 2008

Approximate substitutions and the normal ordering problem
CoRR, 2008

Hopf Algebras in General and in Combinatorial Physics: a practical introduction
CoRR, 2008

2007
Lazard's Elimination (in Traces) is Finite-State Recognizable.
Int. J. Algebra Comput., 2007

Automata-based Adaptive Behavior for Economical Modelling Using Game Theory
CoRR, 2007

Sweedler's duals and Schützenberger's calculus
CoRR, 2007

Moderate Growth Time Series for Dynamic Combinatorics Modelisation
CoRR, 2007

Adaptive Automata Community Detection and Clustering: A generic methodology.
Proceedings of the World Congress on Engineering, 2007

2006
Extending the scalars of minimizations
CoRR, 2006

A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
CoRR, 2006

2005
Algebraic elimination of <i>epsilon</i>-transitions.
Discret. Math. Theor. Comput. Sci., 2005

Transitive Hall sets
CoRR, 2005

Automata-based adaptive behavior for economic modeling using game theory
CoRR, 2005

Feynman graphs and related Hopf algebras
CoRR, 2005

Tables, Memorized Semirings and Applications
CoRR, 2005

Evolutive complex scheduling in interaction networks for quality improvment in geographical data base updating.
Proceedings of the 12th IEEE International Conference on Electronics, 2005

Rewriting tables and memorized semirings.
Proceedings of the 12th IEEE International Conference on Electronics, 2005

2004
Derivatives of rational expressions and related theorems.
Theor. Comput. Sci., 2004

An unexpected application of minimization theory to module decompositions
CoRR, 2004

Algebraic Elimination of epsilon-transitions
CoRR, 2004

Free quasi-symmetric functions, product actions and quantum field theory of partitions
CoRR, 2004

2002
On the support of graph Lie algebras.
Theor. Comput. Sci., 2002

Noncommutative Symmetric Functions Vi: Free Quasi-Symmetric Functions and Related Algebras.
Int. J. Algebra Comput., 2002

Transitive factorizations of free partially commutative monoids and Lie algebras.
Discret. Math., 2002

2001
Direct and dual laws for automata with multiplicities.
Theor. Comput. Sci., 2001

Brzozowski's Derivatives Extended to Multiplicities.
Proceedings of the Implementation and Application of Automata, 2001

1999
SEA: A Symbolic Environment for Automata Theory.
Proceedings of the Automata Implementation, 1999

1998
Operations over Automata with Multiplicities.
Proceedings of the Automata Implementation, 1998

1997
Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras.
Discret. Math. Theor. Comput. Sci., 1997

1995
Combinatorics in Trace Monoids II.
Proceedings of the Book of Traces, 1995

1993
Partially Commutative Magnus Transformations.
Int. J. Algebra Comput., 1993

1992
On the Partially Commutative Shuffle Product.
Theor. Comput. Sci., 1992

Simple Orderings for Free Partially Commutative Groups.
Int. J. Algebra Comput., 1992

1991
Orthogonal Projection Onto the Free Lie Algebra.
Theor. Comput. Sci., 1991

Lazard's Factorizations of Free Partially Commutative Monoids.
Proceedings of the Automata, Languages and Programming, 18th International Colloquium, 1991

1990
Partially Commutative Formal Power Series.
Proceedings of the Semantics of Systems of Concurrent Processes, 1990

1989
Le support de l'algebre de lie libre.
Discret. Math., 1989

1988
Theoremes de Transfert pour les Polynomes Partiellement Commutatifs.
Theor. Comput. Sci., 1988

Bisections Reconnaissables.
RAIRO Theor. Informatics Appl., 1988


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