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ORCIDGérard Duchamp
Gérard H. E. Duchamp – Gérard Henry Edmond Duchamp
Person information
- affiliation: University of Paris 13, France
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2020 – today
- 2024
[i39]Gérard Henry Edmond Duchamp, Christophe Tollu, Jean-Gabriel Luque, Vu Nguyen Dinh:
About enveloping algebras of direct sums. CoRR abs/2405.01092 (2024)- 2023
- [j36]Van Chiên Bui, Gérard H. E. Duchamp, Quoc Hoan Ngô, Vincel Hoang Ngoc Minh, Vu Nguyen Dinh:
Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart. Math. Comput. Sci. 17(1): 4 (2023) - 2022
- [i38]Gérard H. E. Duchamp, Pierre Simonnet:
Elementary remarks about Pisano periods. CoRR abs/2206.07095 (2022) - 2021
- [i37]Van Chiên Bui, Gérard Duchamp, Quoc Hoan Ngô, Vincel Hoang Ngoc Minh, Vu Nguyen Dinh:
Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart. CoRR abs/2110.13743 (2021) - 2020
- [i36]Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh, Vu Nguyen Dinh:
Towards a noncommutative Picard-Vessiot theory. CoRR abs/2008.10872 (2020)
2010 – 2019
- 2019
- [j35]Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngô:
Kleene stars of the plane, polylogarithms and symmetries. Theor. Comput. Sci. 800: 52-72 (2019) - 2018
- [c12]Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh, Karol A. Penson
:
About Some Drinfel'd Associators. CASC 2018: 146-163 - [i35]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:
Kleene stars of the plane, polylogarithms and symmetries. CoRR abs/1811.09091 (2018) - 2017
- [j34]Gérard H. E. Duchamp, Jean-Yves Enjalbert, Vincel Hoang Ngoc Minh, Christophe Tollu:
The mechanics of shuffle products and their siblings. Discret. Math. 340(9): 2286-2300 (2017) - [j33]Van Chiên Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh:
Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras. J. Symb. Comput. 83: 93-111 (2017) - [j32]Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngô:
Harmonic sums and polylogarithms at non-positive multi-indices. J. Symb. Comput. 83: 166-186 (2017) - [i34]Gérard Duchamp, Ngoc Minh, Karol A. Penson:
On Drinfel'd associators. CoRR abs/1705.01882 (2017) - 2016
- [j31]Van Chiên Bui, Gérard Duchamp, Vincel Hoang Ngoc Minh, Ladji Kane, Christophe Tollu:
Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization. J. Symb. Comput. 75: 56-73 (2016) - [i33]Ngoc Hoang, Gérard Duchamp, Vincel Hoang Ngoc Minh:
The algebra of Kleene stars of the plane and polylogarithms. CoRR abs/1602.02801 (2016) - 2015
- [j30]Gérard Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngô:
Harmonic sums and polylogarithms at negative multi-indices. ACM Commun. Comput. Algebra 49(3): 70-73 (2015) - [j29]Van Chiên Bui, Gérard Duchamp, Vincel Hoang Ngoc Minh:
Computation tool for the q-deformed quasi-shuffle algebras and representations of structure of MZVs. ACM Commun. Comput. Algebra 49(4): 117-120 (2015) - [c11]Van Chiên Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh:
Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras. ISSAC 2015: 93-100 - [i32]Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu, Van Chiên Bui, Quoc Hoan Ngô:
(Pure) transcendence bases in φ-deformed shuffle bialgebras. CoRR abs/1507.01089 (2015) - 2014
- [j28]Adrian Tanasa, Gérard Henry Edmond Duchamp, Loïc Foissy, Nguyen Hoang Nghia, Dominique Manchon:
A combinatorial non-commutative Hopf algebra of graphs. Discret. Math. Theor. Comput. Sci. 16(1): 356-370 (2014) - 2013
- [j27]Gérard H. E. Duchamp, Nguyen Hoang Nghia, Thomas Krajewski, Adrian Tanasa:
Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach. Adv. Appl. Math. 51(3): 345-358 (2013) - [j26]Chen Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh:
Schützenberger's factorization on q?stuffle Hopf algebra. ACM Commun. Comput. Algebra 47(3/4): 90-91 (2013) - [c10]Gérard Henry Edmond Duchamp, Nguyen Hoang Nghia, Adrian Tanasa:
A Selection-Quotient Process for Packed Word Hopf Algebra. CAI 2013: 223-234 - [i31]Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu, Bùi Chiên, Nguyen Hoang Nghia:
Combinatorics of $φ$-deformed stuffle Hopf algebras. CoRR abs/1302.5391 (2013) - [i30]Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh, Christophe Tollu:
Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization. CoRR abs/1305.4447 (2013) - [i29]Chen Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh:
Schützenberger's factorization on the (completed) Hopf algebra of $q-$stuffle product. CoRR abs/1305.4450 (2013) - [i28]Gérard Henry Edmond Duchamp, Nguyen Hoang Nghia, Adrian Tanasa:
A selection-quotient process for packed word Hopf algebra. CoRR abs/1310.4418 (2013) - [i27]Gérard Henry Edmond Duchamp, Nguyen Hoang Nghia, Thomas Krajewski, Adrian Tanasa:
Renormalization group-like proof of the universality of the Tutte polynomial for matroids. CoRR abs/1310.5516 (2013) - 2012
- [j25]Katarzyna Górska, D. Babusci, Giuseppe Dattoli, Gérard Henry Edmond Duchamp, Karol A. Penson:
The Ramanujan master theorem and its implications for special functions. Appl. Math. Comput. 218(23): 11466-11471 (2012) - [j24]D. Babusci, Giuseppe Dattoli, Gérard Henry Edmond Duchamp, Katarzyna Górska, Karol A. Penson:
Definite integrals and operational methods. Appl. Math. Comput. 219(6): 3017-3021 (2012) - [j23]Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh:
Dual families in enveloping algebras. ACM Commun. Comput. Algebra 46(3/4): 86-87 (2012) - 2011
- [j22]Gérard Henry Edmond Duchamp, Jean-Gabriel Luque, Jean-Christophe Novelli, Christophe Tollu, Frédéric Toumazet:
Hopf Algebras of Diagrams. Int. J. Algebra Comput. 21(6): 889-911 (2011) - [c9]Matthieu Deneufchâtel, Gérard Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon:
Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics. CAI 2011: 127-139 - [i26]Matthieu Deneufchâtel, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon:
Independence of hyperlogarithms over function fields via algebraic combinatorics. CoRR abs/1101.4497 (2011) - 2010
- [j21]Zaid M. Odibat, Cyrille Bertelle, M. A. Aziz-Alaoui, Gérard Duchamp:
A multi-step differential transform method and application to non-chaotic or chaotic systems. Comput. Math. Appl. 59(4): 1462-1472 (2010) - [j20]Gérard Duchamp, Laurent Poinsot, Allan I. Solomon, Karol A. Penson, Pawel Blasiak, Andrzej Horzela:
Ladder Operators and Endomorphisms in Combinatorial Physics. Discret. Math. Theor. Comput. Sci. 12(2): 23-46 (2010) - [j19]Karol A. Penson, Pawel Blasiak, Gérard Duchamp, Andrzej Horzela, Allan I. Solomon:
On certain non-unique solutions of the Stieltjes moment problem. Discret. Math. Theor. Comput. Sci. 12(2): 295-306 (2010) - [j18]Rawan Ghnemat, Cyrille Bertelle, Gérard Duchamp:
Modelling spatial self-organisation with swarm intelligence processes. Int. J. Bio Inspired Comput. 2(6): 374-382 (2010) - [i25]Laurent Poinsot, Gérard Duchamp, Christophe Tollu:
Partial monoids: associativity and confluence. CoRR abs/1002.2166 (2010) - [i24]Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon, Silvia Goodenough:
An interface between physics and number theory. CoRR abs/1011.0523 (2010)
2000 – 2009
- 2009
- [i23]Gérard Henry Edmond Duchamp, H. Cheballah:
Some Open Problems in Combinatorial Physics. CoRR abs/0901.2612 (2009) - [i22]Laurent Poinsot, Gérard Duchamp:
Generalized powers for the Riordan group. CoRR abs/0902.2853 (2009) - [i21]Gérard Henry Edmond Duchamp, Christophe Tollu, H. Cheballah, Karol A. Penson, Gleb A. Koshevoy:
Combinatorial Deformations: Twisting and Perturbations. CoRR abs/0903.2101 (2009) - [i20]Gérard Henry Edmond Duchamp, Laurent Poinsot, Allan I. Solomon, Karol A. Penson, Pawel Blasiak, Andrzej Horzela:
Ladder Operators and Endomorphisms in Combinatorial Physics. CoRR abs/0908.2332 (2009) - [i19]Laurent Poinsot, Gérard Henry Edmond Duchamp, Silvia Goodenough, Karol A. Penson:
Statistics on Graphs, Exponential Formula and Combinatorial Physics. CoRR abs/0910.0695 (2009) - [i18]Laurent Poinsot, Gérard Duchamp, Christophe Tollu:
Möbius inversion formula for monoids with zero. CoRR abs/0911.4821 (2009) - 2008
- [j17]Luaï Jaff, Cyrille Bertelle, Gérard Henry Edmond Duchamp:
Shift operators and complex systems. Int. J. Model. Identif. Control. 3(1): 50-57 (2008) - [j16]Hakima Kadri-Dahmani, Cyrille Bertelle, Gérard Henry Edmond Duchamp, Aomar Osmani:
Emergent property of consistent updated geographical database. Int. J. Model. Identif. Control. 3(1): 58-68 (2008) - [i17]Gérard Henry Edmond Duchamp, Pawel Blasiak, Andrzej Horzela, Karol A. Penson, Allan I. Solomon:
Hopf Algebras in General and in Combinatorial Physics: a practical introduction. CoRR abs/0802.0249 (2008) - [i16]H. Cheballah, Gérard Henry Edmond Duchamp, Karol A. Penson:
Approximate substitutions and the normal ordering problem. CoRR abs/0802.1162 (2008) - [i15]Gérard Henry Edmond Duchamp, Silvia Goodenough, Karol A. Penson:
Rational Hadamard products via Quantum Diagonal Operators. CoRR abs/0810.3641 (2008) - 2007
- [j15]Gérard Duchamp, Jean-Gabriel Luque:
Lazard's Elimination (in Traces) is Finite-State Recognizable. Int. J. Algebra Comput. 17(1): 53-60 (2007) - [c8]Rawan Ghnemat, Cyrille Bertelle, Gérard Henry Edmond Duchamp:
Adaptive Automata Community Detection and Clustering: A generic methodology. World Congress on Engineering 2007: 25-30 - [i14]Luaï Jaff, Gérard Henry Edmond Duchamp, Hatem Hadj Kacem, Cyrille Bertelle:
Moderate Growth Time Series for Dynamic Combinatorics Modelisation. CoRR abs/0708.2213 (2007) - [i13]Gérard Henry Edmond Duchamp, Christophe Tollu:
Sweedler's duals and Schützenberger's calculus. CoRR abs/0712.0125 (2007) - [i12]Rawan Ghnemat, Saleh Oqeili, Cyrille Bertelle, Gérard Henry Edmond Duchamp:
Automata-based Adaptive Behavior for Economical Modelling Using Game Theory. CoRR abs/0712.2644 (2007) - 2006
- [i11]Gérard Henry Edmond Duchamp, Allan I. Solomon, Pawel Blasiak, Karol A. Penson, Andrzej Horzela:
A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams. CoRR abs/cs/0609107 (2006) - [i10]Gérard Duchamp, Éric Laugerotte, Jean-Gabriel Luque:
Extending the scalars of minimizations. CoRR abs/math/0607411 (2006) - [i9]Gérard Duchamp, Marianne Flouret, Éric Laugerotte, Jean-Gabriel Luque:
Direct and dual laws for automata with multiplicities. CoRR abs/math/0607412 (2006) - [i8]Jean-Gabriel Luque, Gérard Henry Edmond Duchamp:
Transitive factorizations of free partially commutative monoids and Lie algebras. CoRR abs/math/0607420 (2006) - 2005
- [j14]Gérard Duchamp, Hatem Hadj Kacem, Éric Laugerotte:
Algebraic elimination of epsilon-transitions. Discret. Math. Theor. Comput. Sci. 7(1): 51-70 (2005) - [c7]Gérard Duchamp, Khalaf Khatatneh, Cyrille Bertelle:
Rewriting tables and memorized semirings. ICECS 2005: 1-4 - [c6]Hakima Kadri-Dahmani, Cyrille Bertelle, Gérard Duchamp, Aomar Osmani:
Evolutive complex scheduling in interaction networks for quality improvment in geographical data base updating. ICECS 2005: 1-4 - [i7]Cyrille Bertelle, Gérard Henry Edmond Duchamp, Khalaf Khatatneh:
Tables, Memorized Semirings and Applications. CoRR abs/cs/0502081 (2005) - [i6]Gérard Henry Edmond Duchamp, Pawel Blasiak, Andrzej Horzela, Karol A. Penson, Allan I. Solomon:
Feynman graphs and related Hopf algebras. CoRR abs/cs/0510041 (2005) - [i5]Rawan Ghnemat, Khalaf Khatatneh, Saleh Oqeili, Cyrille Bertelle, Gérard Henry Edmond Duchamp:
Automata-based adaptive behavior for economic modeling using game theory. CoRR abs/cs/0510089 (2005) - [i4]Gérard Henry Edmond Duchamp, Jean-Gabriel Luque, Marianne Deboysson-Flouret:
Transitive Hall sets. CoRR abs/math/0507032 (2005) - 2004
- [j13]Jean-Marc Champarnaud, Gérard Duchamp:
Derivatives of rational expressions and related theorems. Theor. Comput. Sci. 313(1): 31-44 (2004) - [i3]Gérard Henry Edmond Duchamp, Jean-Gabriel Luque, Karol A. Penson, Christophe Tollu:
Free quasi-symmetric functions, product actions and quantum field theory of partitions. CoRR abs/cs/0412061 (2004) - [i2]Gérard Duchamp, Hatem Hadj Kacem, Éric Laugerotte:
Algebraic Elimination of epsilon-transitions. CoRR cs.SC/0401012 (2004) - [i1]Gérard Duchamp, Hatem Hadj Kacem, Éric Laugerotte:
An unexpected application of minimization theory to module decompositions. CoRR cs.SC/0405060 (2004) - 2002
- [j12]Gérard Duchamp, Jean-Gabriel Luque:
Transitive factorizations of free partially commutative monoids and Lie algebras. Discret. Math. 246(1-3): 83-97 (2002) - [j11]Gérard Duchamp, Florent Hivert, Jean-Yves Thibon:
Noncommutative Symmetric Functions Vi: Free Quasi-Symmetric Functions and Related Algebras. Int. J. Algebra Comput. 12(5): 671-717 (2002) - [j10]Gérard Duchamp, Éric Laugerotte, Jean-Gabriel Luque:
On the support of graph Lie algebras. Theor. Comput. Sci. 273(1-2): 283-294 (2002) - 2001
- [j9]Gérard Duchamp, Marianne Flouret, Éric Laugerotte, Jean-Gabriel Luque:
Direct and dual laws for automata with multiplicities. Theor. Comput. Sci. 267(1-2): 105-120 (2001) - [c5]Jean-Marc Champarnaud, Gérard Duchamp:
Brzozowski's Derivatives Extended to Multiplicities. CIAA 2001: 52-64
1990 – 1999
- 1999
- [c4]Philippe Andary, Pascal Caron, Jean-Marc Champarnaud, Gérard Duchamp, Marianne Flouret, Éric Laugerotte:
SEA: A Symbolic Environment for Automata Theory. WIA 1999: 13-26 - 1998
- [c3]Gérard Duchamp, Marianne Flouret, Éric Laugerotte:
Operations over Automata with Multiplicities. Workshop on Implementing Automata 1998: 183-191 - 1997
- [j8]Gérard Duchamp, Alexander Klyachko, Daniel Krob, Jean-Yves Thibon:
Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras. Discret. Math. Theor. Comput. Sci. 1(2): 159-216 (1997) - 1995
- [p1]Gérard Duchamp, Daniel Krob:
Combinatorics in Trace Monoids II. The Book of Traces 1995: 83-129 - 1993
- [j7]Gérard Duchamp, Daniel Krob:
Partially Commutative Magnus Transformations. Int. J. Algebra Comput. 3(1): 15-42 (1993) - 1992
- [j6]Gérard Duchamp, Jean-Yves Thibon:
Simple Orderings for Free Partially Commutative Groups. Int. J. Algebra Comput. 2(3): 351-356 (1992) - [j5]Gérard Duchamp, Daniel Krob:
On the Partially Commutative Shuffle Product. Theor. Comput. Sci. 96(2): 405-410 (1992) - 1991
- [j4]Gérard Duchamp:
Orthogonal Projection Onto the Free Lie Algebra. Theor. Comput. Sci. 79(1): 227-239 (1991) - [c2]Gérard Duchamp, Daniel Krob:
Lazard's Factorizations of Free Partially Commutative Monoids. ICALP 1991: 242-253 - 1990
- [c1]Gérard Duchamp, Daniel Krob:
Partially Commutative Formal Power Series. Semantics of Systems of Concurrent Processes 1990: 256-276
1980 – 1989
- 1989
- [j3]Gérard Duchamp, Jean-Yves Thibon:
Le support de l'algebre de lie libre. Discret. Math. 76(2): 123-129 (1989) - 1988
- [j2]Gérard Duchamp, Jean-Yves Thibon:
Bisections Reconnaissables. RAIRO Theor. Informatics Appl. 22(1): 113-128 (1988) - [j1]Gérard Duchamp, Jean-Yves Thibon:
Theoremes de Transfert pour les Polynomes Partiellement Commutatifs. Theor. Comput. Sci. 57: 239-249 (1988)
Coauthor Index
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