Revues internationales avec comité de lecture

  1. G. Duchamp, Etude du treillis des congruences à droite sur le monoïde bicyclique , Semigroup Forum, 33 (1986), 31-46.
  2. G. Duchamp, J.-Y. Thibon, Bisections reconnaissables , Theoretical Informatics and Applications, 22, (1988), 113-128, (Gauthiers-Villars).
  3. G. Duchamp, J.-Y. Thibon, Theorèmes de transfert pour les polynômes partiellement commutatifs, Theoretical Computer Science, 57 , (1988), 239-249, (North-Holland).
  4. G. Duchamp, J.-Y. Thibon, Le support de l'algèbre de Lie libre , Discrete Math, 76, (1989), 123-129, (North-Holland).
  5. G. Duchamp, D. Krob, Partially commutative formal power series , L.N. in Computer Science 469 , 257-276 (1990).
  6. G. Duchamp, Orthogonal projection onto the free Lie Algebra , Theorerical Computer Science, 79 , 227-239 (1991).(pdf)
  7. G. Duchamp, D. Krob, The Free Partially commutative Lie Algebra : Bases and Ranks , Advances in Math 95 (1992), 92-126. (pdf)
  8. G. Duchamp, D. Krob, Factorisations dans le monoïde partiellement commutatif libre , C.R. Acad. Sci. Paris, t. 312 , série I, 189-192, (1991). (pdf)
  9. G. Duchamp, D. Krob, The lower central series of the Free Partially Commutative Group , Semigroup Forum 45 , 385-394 (1992).
  10. G. Duchamp, D.Krob, On the partially commutative shuffle product , Theoretical Computer Science 96 , 405-410 (1992).
  11. G. Duchamp, Le groupe de Magnus partiellement commutatif : applications , Publ. du LACIM No 10 (1992).
  12. G. Duchamp, J.-Y. Thibon, Simple orderings for free partially commutative groups , International Journal of Algebra and Computation 2 No.3 (1992).
  13. G. Duchamp, D.Krob, Free partially commutative structures , Journal of Algebra, 156 , 318-359 (1993).(pdf )
  14. G. Duchamp, D.Krob, Partially commutative Magnus transformations , International Journal of Algebra and Computation 3 No 1 15-41 (1993).
  15. J. Désarménien, G. Duchamp, D. Krob, G. Melançon, Quelques remarques sur les superalgèbres de Lie libres , C.R.A.S. 5 (1994).
  16. G. Duchamp, D. Krob, B. Leclerc, J.-Y. Thibon, Déformations de projecteurs de Lie C.R.A.S. 319 , série I., 909-914, (1994)
  17. G. Duchamp, D. Krob, B. Leclerc, J.-Y. Thibon, Fonctions quasi-symétriques, fonctions symétriques non commutatives et algèbres de Hecke à $q=0$ C.R.A.S. 319 , série I., 909-914, (1994).
  18. G. Duchamp, D. Krob, A. Lascoux, B. Leclerc, T. Scharf, J.-Y. Thibon, Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras , Pub. of the RIMS, 31 No 2 (1995).
  19. G. Duchamp, O. Khadir, Groupe d'équivalences d'arbres et monômes de Jordan , Ann. Sci. Math. Québec 19 n° 1 (1995).
  20. G. Duchamp, J. Katriel, Ordering relations for q-boson operators, continued fractions techniques and the q-CBH enigma, Journal of Physics A, 28, 7209-7225, (1995).
  21. G. Duchamp, S. Kim, Intertwinning spaces associated with $q$-analogues of the Young symmetrizers in the Hecke algebra, Banach Center Publications, Warszawa, 36, 61-69, (1996).(pdf)
  22. G. Duchamp, C. Reutenauer, Un critère de rationalité provenant de la géométrie non-commutative (à la mémoire de Schützenberger), Inventiones Mathematicae, 128, 613-622, (1997).
  23. G. Duchamp, D. Krob, B. Leclerc, A. Klyachko, J.-Y. Thibon, Noncommutative symmetric functions III: deformations of Cauchy and convolution structures, Discrete Mathematics and Theoretical Computer Science, (1998).
  24. G. Duchamp, F. Hivert, J.-Y. Thibon, Une généralisation commune des fonctions quasi-symétriques et des fonctions symétriques non-commutatives., Comptes-Rendus de l'Académie des Sciences, Paris Sér. I Math 328, (12), 1113-1116, (1999).
  25. G. Duchamp, D. Krob, E. Vassivlieva, Zassenhaus Lie Idempotents, q-Bracketing and a New Exponential/Logarithm Correspondence, Journal of Algebraic Communications in Algebra, 12, (3), 251-277, (2000).
  26. N. Dobrynin , G. Duchamp, S. Mikhalev, V. Petrogradsky, On free p-algebras Communications in Algebra (28), 5275-5302, (2000).
  27. G. Duchamp, M. Flouret, É. Laugerotte, J. G. Luque, Direct and dual laws for automata with multiplicities, Theoretical Computer Science, 267, 105-120, (2001).(pdf)
  28. G. Duchamp, J.-G. Luque, Transitive factorisations., Discrete Math. special issues FPSAC'99.
  29. G. Duchamp, É. Laugerotte, J. G. Luque, On the support of graph Lie algebras, Theoretical Computer Science, 273, 283-294, (2002).
  30. G. Duchamp, F. Hivert, J.-Y. Thibon, Non commutative symmetric functions VI: Free quasi-symmetric functions and related algebras, International Journal of Algebra and Computation 12, (5), (2002).
    arXiv:math/0105065
  31. J.-M. Champarnaud, G. Duchamp, Derivatives of rational expressions and related theorems}, T.C.S., 313, 31, (2004).
  32. K.A. Penson, P. Blasiak, G. Duchamp, A. Horzela and A.I. Solomon, Hierarchical Dobinski-type relations via substitution and the moment problem, J. Phys. A : Math Gen., 37, 3475, (2004)
  33. Gérard Duchamp, Hatem Hadj Kacem and Eric Laugerotte, Algebraic elimination of $\epsilon$-transitions, DMTCS, Volume 7 n° 1, pp. 51-70 (2005)
  34. P. Blasiak, A. Horzela, K. A. Penson, G. H. E. Duchamp and A.I. Solomon, Boson Normal Ordering via Substitutions and Sheffer-type Polynomials , Phys. Lett. A 338 108 (2005).
    arXiv : quant-ph/0501155
  35. P. Blasiak, K. A. Penson, A.I. Solomon, A. Horzela, G. H. E. Duchamp, Some useful combinatorial formulas for bosonic operators . J. Math. Phys. 46 052110 (2005).
    arXiv : quant-ph/0405103
  36. G. Duchamp, Luque J-G., Lazard's elimination (in traces) is finite-state recognizable , International Journal of Algebra and Computation, Vol. 17 , No. 1 (February 2007)
  37. G. H. E. Duchamp, J.-G. Luque, K. A. Penson et C. Tollu, Free quasi-symmetric functions, product actions and quantum field theory of partitions Séminaire Lotharingien de Combinatoire, 54A, (2007) 12 pages.
  38. P. Blasiak, A. Horzela, K.A. Penson, A.I. Solomon and G.H.E. Duchamp, Combinatorics and Boson normal ordering: A gentle introduction , American Journal of Physics 75  639-646 (Sept. 2008),
    arXiv:0704.3116 [quant-ph]
  39. L. Jaff, G.H.E. Duchamp and C. Bertelle, Shift Operators and Complex Systems , Int. Journal of Modeling, Identification and Control, Special Issue "Modelling Complex Systems", Vol.3(1), pp 50-57, 2008.
  40. H. Kadri-Dahmani, C. Bertelle, G.H.E. Duchamp and A. Osmani, Consistent Updating of Geographical DataBase as Emergent Property over Influence System , Int. Journal of Modeling, Identification and Control, Special Issue "Modelling Complex Systems", Vol. 3 (1), pp 58-68, 2008.
  41. P. Blasiak, A. Horzela, G. H. E. Duchamp, K. A. Penson, and A. I. Solomon, Heisenberg-Weyl algebra revisited: Combinatorics of Words and Paths , J. Phys. A: Math. Theor. 41, 415204 (2009),
    Oberwolfach Preprint OWP 2009 02
    arXiv: 0904.1506
  42. K.A. Penson, P. Blasiak, A. Horzela, A. I. Solomon and G. H. E. Duchamp, Laguerre-type derivatives: Dobinski relations and combinatorial identities , Journal of Mathematical Physics [math-ph] 2 Apr 2009,
    arXiv: 0904.0369v1
  43. R. Ghnemat, C. Bertelle, G.H.E. Duchamp, A methodology for urban and land-use management simulation using spatial self-organization process , Dynamics of Continuous, Discrete & Impulsive Systems, series B : Applications & Algorithms, Wattam Press, 16(4) , 501-513, 2009.
  44. G. H. E. Duchamp, P. Blasiak, A. Horzela, K. A. Penson and A. I. Solomon, A three-parameter Hopf deformation of the algebra of Feynman-like diagrams , Russian Laser Research: 31 , Issue 2 (2010), Page 162.(pdf )
  45. Karol A Penson, Pawel Blasiak, Gerard H. E. Duchamp, Andrzej Horzela, Allan I Solomon , On certain non-unique solutions of the Stieltjes moment problem , Discrete Mathematics & Theoretical Computer Science, 12 , p 295 (2010)pdf
    arXiv:0909.4846
  46. Gerard H. E. Duchamp, Laurent Poinsot, Allan I. Solomon, Karol A Penson, Pawel Blasiak, Andrzej Horzela, Ladder Operators and Endomorphisms in Combinatorial Physics , Discrete Mathematics & Theoretical Computer Science, Vol 12, No 2 (2010)(pdf )
  47. L. Poinsot and G. H. E. Duchamp, A formal calculus on the Riordan near algebra , Advances and Applications in Discrete Mathematics, vol. 6, no. 1 (2010) 11-44
  48. K. Gorska, K. A. Penson and G. H. E. Duchamp, Generation of coherent states of photon-added type via pathway of eigenfunctions , J. Phys. A: Math. Theor. 43 (2010) 375303 (14pp),
    doi:10.1088/1751-8113/43/37/375303
  49. L. Poinsot, G. H. E. Duchamp, C. Tollu, Möbius inversion formula for monoids with zero , Semigroup Forum Volume 81, Number 3, 446-460 (2010),
    DOI: 10.1007/s00233-010-9265-7 (pdf )
  50. L. Poinsot, G. H. E. Duchamp, S. Goodenough, K. A. Penson, Statistics on Graphs, Exponential Formula and Combinatorial Physics , Journal of Nonlinear Systems and Applications, Vol. 1(1), Pages 58-62 (2010) (pdf )
    arXiv : 0910.0695v2 [cs.DM]
  51. K. Gorska, K. A. Penson, A. Horzela, G. H. E. Duchamp, P. Blasiak, A. I. Solomon, Quasiclassical Asymptotics and Coherent States for Bounded Discrete Spectra , J. Math. Phys. (2010), AIP ID: 008011JMP.
    arXiv : 1007.2617v2 [math-ph]
  52. Gérard H. E. Duchamp, Christophe Tollu, Karol A. Penson and Gleb A. Koshevoy, Deformations of Algebras: Twisting and Perturbations , Séminaire Lotharingien de Combinatoire, B62e (2010). (pdf )
  53. Z. Odibat, C. Bertelle, M. Aziz-Alaoui, G.H.E. Duchamp, A multi-step differential transform method and application to non-chaotic or chaotic systems, Computer and mathematics with applications, Elsevier, 9 , 1462-1472, 2010.
  54. R. Ghnemat, C. Bertelle, G.H.E. Duchamp, Modeling Spatial Organization with Swarm Intelligence Processes , International Journal of Bio-Inspired Computation, Indersciences publishers, 2(6) , pp 374-382, 2010.
  55. A. I. Solomon, G. H. E. Duchamp, P. Blasiak, A. Horzela, K. A. Penson, A Hopf algebra for quantum statistical mechanics , Physica Scripta 82 , 038115 (2010)
  56. L. Poinsot, G. H. E. Duchamp et C. Tollu Partial monoids : asssociativity and confluence , Journal of Pure and Applied Mathematics : Advances and Applications, 3(2) :265–285, (2010).
  57. Allan I. Solomon, Gérard H. E. Duchamp, Pawel Blasiak, Andrzej Horzela, Karol A. Penson, A generic Hopf algebra for quantum statistical mechanics , Physica Scripta 82 038115 (2010)
    arXiv:1203.1446 [math-ph]
  58. G.H.E. Duchamp, F. Hivert, J.-C. Novelli, J.-Y. Thibon, Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited , Annals of Combinatorics, 15 Number 4 (2011).
    arXiv:0809.4479v2 [math.CO]
  59. G. H. E. Duchamp, J.-G. Luque, J.-C., Novelli, C. Tollu, and F. Toumazet, Hopf algebras of diagrams . Conference version (11pp) presented at FPSAC'07. Published in International Journal of Algebra and Computation, 2011, 21 (3), 1-23. (pdf )
  60. P. Blasiak, G. H. E. Duchamp, A. I. Solomon, A. Horzela, K. A. Penson, Combinatorial Algebra for second-quantized Quantum Theory , Adv. Theor. Math. Phys. 14 (2011) 1-35
    arXiv : 1001.4964 [math-ph]. (pdf )
  61. M. Deneufchâtel, G. H. E. Duchamp, Hoang Ngoc Minh, A. I. Solomon, Independence of hyperlogarithms over function fields via algebraic combinatorics , Lecture Notes in Computer Science (2011), Volume 6742 (2011), 127-139.
    arXiv:1101.4497v3 [math.CO] (pdf )
  62. G. H. E. Duchamp and C. Tollu, Sweedler's duals and Schützenberger's calculus , In K. Ebrahimi-Fard, M. Marcolli and W. van Suijlekom (eds), Combinatorics and Physics, p. 67 - 78, Amer. Math. Soc. (Contemporary Mathematics, vol.~539), 2011.
    arXiv:0712.0125v3 [math.CO] (pdf )
  63. K. Gorska, K. A. Penson, D. Babuschi, G. Dattoli, and G. H. E. Duchamp, Operator solutions for fractional Fokker-Planck equations , Phys. Rev. E, 85 , 031138 (2012),
    arXiv: 1109.0622.
  64. A. Vourdas, K. A. Penson, G. H. E. Duchamp and A. I. Solomon, Generalized Bargmann functions, their growth and von Neumann lattices , J. Phys A. (2012).
    arXiv:1111.0889v2 [quant-ph]
  65. C. Brouder, G. Duchamp, F. Patras et G. Toth, Zsolt. The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems , International Journal of Quantum Chemistry, 112(10) :2256–2266, (2012).
    arXiv:1011.1751v1 [quant-ph]
  66. D. Babusci, G. Dattoli, G. H. E. Duchamp, K. Górska, K. A. Penson, Definite integrals and operational methods , Applied Mathematics and Computation 219 (2012) 3017-3021
    arXiv:1105.5967 [math.CA]
  67. K. Gorska, D. Babusci, G. Dattoli, G. H. E. Duchamp, K. A. Penson, The Ramanujan master theorem and its implications for special functions, Applied Mathematics and Computation 218 (2012) 11466-11471
    arXiv:1104.3406 [math-ph]
  68. Gérard H.E. Duchamp, Nguyen Hoang-Nghia, Thomas Krajewski, Adrian Tanasa, Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach , Advances in Applied Mathematics 51 (2013) 345–358.(pdf )
  69. G\'erard H.E. Duchamp, Nguyen Hoang-Nghia, Adrian Tanasa, A word Hopf algebra based on the selection/quotient principle, Séminaire Lotharingien de Combinatoire, B68c (2013)(pdf )
  70. A. I. Solomon, C.-L. Ho, G. H. E. Duchamp, Degrees of entanglement for multipartite systems, J. Phys. A: Math. Theor. 46 , (2013) 075302 (pdf)
    arXiv:1205.4958v2 [quant-ph]
  71. V.C. Bui, G.H.E. Duchamp, Hoang Ngoc Minh, Schützenberger's factorization on the (completed) Hopf algebra of $q$-stuffle product , Journal of Algebra, Number Theory and Applications (2013), 30 2 , pp 191 - 215.
  72. G. H. E. Duchamp, L. Foissy, N. Hoang-Nghia, D. Manchon, A. Tanasa, A combinatorial non-commutative Hopf algebra of graphs, Discrete Mathematics and Theoretical Computer Science, Vol 16 , No 1 (2014) 356-370 (pdf)
    arXiv:1307.3928 [math.CO]
  73. V.C. Bui, G. H. E. Duchamp, Hoang Ngoc Minh, L. Kane, C. Tollu, Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization , Journal of Symbolic Computation, 1. 75 pp 56–73 (2016), (pdf )
    http://www.sciencedirect.com/science/article/pii/S0747717115001066.
  74. Gérard H.E. Duchamp, Hoang Ngoc Minh, Ngo Quoc Hoan, Harmonic sums and polylogarithms at negative multiple-indices , J. of Symbolic Computation, 83 , pp. 166-186 (2017). Available online 15 November 2016.
    http://www.sciencedirect.com/science/article/pii/S0747717116301298
  75. Van Chien Bui, G. H. E. Duchamp and Hoang Ngoc Minh, Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras , Journal of Symbolic Computation, Volume 83, November-December 2017, Pages 93-111
    http://www.sciencedirect.com/science/article/pii/S0747717116301262
  76. G.H.E. Duchamp, J.Y. Enjalbert, Hoang Ngoc Minh, C. Tollu, The mechanics of shuffle products and their siblings , Discrete Mathematics 340(9): 2286-2300 (2017). (pdf )
  77. G.H.E. Duchamp, Hoang Ngoc Minh, Quoc Huan Ngô, Karol A. Penson, Pierre Simonnet, Mathematical renormalization in quantum electrodynamics via noncommutative generating series , in "Applications of Computer Algebra", Springer Proceedings in Mathematics and Statistics, pp. 59-100 (2017). (pdf )
  78. Van Chien Bui, Gérard H.E. Duchamp, Quoc Huan Ngô, Vincel Hoang Ngoc Minh and Christophe Tollu (Pure) Transcendence Bases in $\varphi$-Deformed Shuffle Bialgebras (22 pp.), 74 ème Séminaire Lotharingien de Combinatoire (published oct. 2018). (pdf )
  79. P.Blasiak, G. H. E. Duchamp and K. A. Penson, Combinatorics of Second Derivative : Graphical Proof of Glaisher-Crofton Identity , Advances in Mathematical Physics, vol. (2018), Article ID 2575626, 9 pages. (pdf )
  80. G. H. E. Duchamp, V. Hoang Ngoc Minh, and K. A. Penson, About Some Drinfel'd Associators , in "Computer Algebra in Scientific Computing", V. P. Gerdt et al. (Eds.): CASC 2018, LNCS 11077, pp. 146-163, 2018. (pdf )
  81. N. Behr, G. Dattoli, G. H. E. Duchamp, S. Licciardi and K. A. Penson, Operational Methods in the Study of Sobolev-Jacobi Polynomials, Mathematics, 7, no.2 p.124 (2019), 34 pages. (pdf )
  82. Gérard H.E. Duchamp, Quoc Huan Ngô and Vincel Hoang Ngoc Minh, Kleene stars of the plane, polylogarithms and symmetries, (pp 52-72) TCS 800, 2019, pp 52-72. (pdf )
  83. N. Behr, G. H. E. Duchamp and K. A. Penson, Explicit Formulae for All Higher Order Exponential Lacunary Generating Functions of Hermite Polynomials, Séminaire Lotharingien de Combinatoire (accepted, 2019, to be published), 28 pages + 2 tables.
  84. V.C. Bui, G.H.E. Duchamp, V. Hoang Ngoc Minh, Q.H. Ngo, V. Nguyen Dinh, Towards a Theory of Domains for Harmonic Functions and its Symbolic Counterpart, Mathematics in Computer Science (2023), ( Link to article. )
  85. K. A. Penson, K. Górska, A. Horzela, G. H. E. Duchamp, Hausdorff moment problem for combinatorial numbers of Brown and Tutte: exact solution
    ( Link to article )
    Accepted for publication in Enumerative Combinatorics and Applications (2023) ( Link to review. )

    Revues nationales avec comité de lecture

  86. M. Chemillier, G. Duchamp, Algorithme de réduction des degrés dans une gamme musicale (d'après la théorie d'Yves Hellegouarch), Gazette des mathématiciens, n° 82, 1999, pp. 26-30. (pdf ).
  87. G. H. E. Duchamp, K. A. Penson, C. Tollu, Physique Combinatoire I : Groupes à un paramètre, La Gazette des mathématiciens, 130, publications de la SMF, (Octobre 2011). (pdf ).

    Colloques d'audience internationale avec comité de lecture

  88. G. Duchamp, M. Flouret, É. Laugerotte, Operations over automata with multiplicities, Lecture Notes in Computer Science, 1660, 183-191, WIA, Champarnaud, Maurel and Ziadi Eds, (1998).
  89. G. Duchamp, É. Laugerotte, J. G. Luque, On the support of some free partially commutative Lie algebras, WORDS 1999.
  90. G. Duchamp, J. G. Luque, Congruences Compatible with the Shuffle Product, Proceedings, (FPSAC 2000), D. Krob, A.A. Mikhalev Eds., Springer.
  91. G. Duchamp, F. Hivert, J-Y. Thibon, Some Generalizations of Quasi-Symmetric Functions, Proceedings, (FPSAC 2000), D. Krob, A.A. Mikhalev Eds., Springer.
  92. P. Andary, P. Caron, J. M. Champarnaud, G. Duchamp, M. Flouret, É. Laugerotte, SEA: a Symbolic Environment for Automata theory, Lecture Notes in Computer Science, 2214, 13-26, WIA 1999, (2001).
  93. J-.M. Champarnaud, G. Duchamp, Brzozowski's derivatives extended to multiplicities, CIAA01 Proceedings, LNCS.
  94. G. Duchamp, J. G. Luque, Transitive factorizations of partially commutative free monoids and Lie algebras, Proceedings, FPSAC 1999.
  95. G. Duchamp, A. A. Mikhalev, Graded shuffle algebras of prime characteristic, Proceedings, FPSAC 1999.
  96. G. Duchamp, É. Laugerotte, J. G. Luque, Extending the scalars of minimization, Proceedings, SCI 2001.
  97. G. Duchamp, C. Tollu, F. Toumazet, Realizability of the $q$-deformed Weyl Algebras, Group24 (XXIV International Colloquium on Group Theoretical Methods in Physics), July 15-20 2002 Paris.
  98. G. Duchamp, É. Laugerotte, About KS theorem with noncommutative coefficients, Proceedings, CIAA 2002.
  99. A.I. Solomon, P. Blasiak, G. Duchamp, A. Horzela and K.A. Penson, Combinatorial Physics, Normal Order and Model Feynman Graphs, Proceedings of the Symposium 'Symmetries in Science XIII', Bregenz, Austria, 2003. Kluwer Publ. (2004) in press.
  100. A.I. Solomon, P. Blasiak, G. Duchamp, A. Horzela and K.A. Penson, Normal Order: Combinatorial Graphs, Quantum Theory and Symmetries, Proceedings of the 3rd International Symposium P.C. Argyres, T.J. Hodges, F. Mansouri, J.J. Scanio, P. Suranyi, L.C.R. Wijewardhana (eds.) (World Scientific Publishing 2004) arXiv: quant-ph/0402082 ,
  101. G. Duchamp, K.A. Penson, A.I. Solomon, A. Horzela and P. Blasiak, One-Parameter Groups and Combinatorial Physics, Proceedings of the Symposium COPROMAPH3 : Contemporary Problems in Mathematical Physics, Cotonou, Benin, Scientific World Publishing (2004).
    arXiv: quant-ph/0401126
  102. A.I. Solomon, G. Duchamp, P. B lasiak, A. Horzela and K. A. Penson, Partition functions and graphs: A combinatorial approach , Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11) (Prague, Czech Republic, June 2004), in press (JINR Publishers, Dubna)
    arXiv: quant-ph/0409082
  103. A. Horzela, P. Blasiak, G. Duchamp, K. A. Penson and A.I. Solomon, A product formula and combinatorial field theory , Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11) (Prague, Czech Republic, June 2004), in press (JINR Publishers, Dubna)
    arXiv:{\tt quant-ph/0409152}
  104. Duchamp G. H. E., Hadj-Kacem H., Laugerotte E., , On the decomposition of boolean functionsBFCA05, March 7-8, 2005.
  105. G.H.E. Duchamp, J-G. Luque, K-A. Penson, C. Tollu, Free quasi-symmetric functions, product actions and quantum field theory of partitions , FPSAC'05 Taormina, Italy.
    arXiv : cs.SC/0412061
  106. K. A. Penson, P. Blasiak, G. Dattoli, G. H. E. Duchamp, A. Horzela and A. I. Solomon, Monomiality principle, Sheffer-type polynomials and the normal ordering problem , Journal of Physics: Conference Series, 30 , 86-97 (2006), Institute of Physics SSPCM'05, Myczkowce, Poland.
    arXiv : quant-ph/0510079
  107. G. H. E. Duchamp, P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, Feynman graphs and related Hopf algebras , Journal of Physics: Conference Series, 30 , 107-118 (2006), Institute of Physics Publishing, proceedings of SSPCM '05 Myczkowce, Poland. (2005) SSPCM'05, Myczkowce, Poland.
    arXiv : cs.SC/0510041
  108. G. H. E. Duchamp, K. Khatatneh, C. Bertelle, Rewriting Tables and Memorized Semirings , Proc. of the 12th IEEE International Conference on Electronics, Circuits and Systems Gammarth, Tunisia, December 11-14th, 2005, Noureddine Boudriga ,SUPCOM, Tunisia, Mohammad S. Obaidat, Monmouth University, NJ, USA (Eds.)
  109. H. Kadri-Dahmani, C. Bertelle, G. H.E. Duchamp, A. Osmani, Evolutive Complex Scheduling in Interaction Networks for Quality Improvment in Geographical Data Base Updating , Proc. of the 12th IEEE International Conference on Electronics, Circuits and Systems Gammarth, Tunisia, December 11-14th, 2005, Noureddine Boudriga ,SUPCOM, Tunisia, Mohammad S. Obaidat, Monmouth University, NJ, USA (Eds.)
  110. R. Ghnemat, K. Khatatneh, S. Oqeili, C. Bertelle, G.H.E. Duchamp, Automata-based adaptive behavior for economic modeling using game theory , Proc. of EPNADS'2005 (Emergent Properties in Natural and Artificial Dynamical Systems), Paris, France November 17th, 2005, C. Bertelle, A. Alaoui (Eds.), Springer.
  111. S. Baudic, G.H.E. Duchamp, Emotions: theoretical models and clinical implications , Proc. of CoSSoM'06 (Complex Systems and Self-organization Modelling), ESM'2006, October 23-25, 2006, LAAS, Toulouse, France
  112. L. Jaff, G.H.E. Duchamp, H. Hadj-Kacem and C. Bertelle, Moderate Growth Time Series for Dynamic Combinatorics Modelisation in Proceedings of ECELM-2, pp 42-53, Tirgu-Mures, Romania, May 31 - June 3, 2006.
  113. L. Jaff, C. Bertelle and G.H.E. Duchamp, Control on System Diffusion Using Genetic Automata , in ESM'2007, St.Julians, Malta, October 22-24, 2007.
  114. R. Ghnemat, C. Bertelle and G. H. E. Duchamp, Adaptive Automata Community Detection and Clustering , in Proceedings of ICCIIS 2007 within World Congress on Engineering, Imperial College London, U.K., July 2-4, 2007
  115. G.H.E. Duchamp, A.I. Solomon, P. Blasiak, A. Horzela and K.A. Penson, A multipurpose Hopf deformation of the algebra of Feynman-like diagrams , 26th Int. Colloquium on Group Theoretical Methods in Physics (Group 26) (New York, June 2006) (Springer Verlag, Berlin, 2007)
    arXiv:cs.OH/0609107
  116. A.I. Solomon, G.H.E. Duchamp, P. Blasiak, A. Horzela and K.A. Penson, Hopf algebra structure of a model quantum theory , 26th Int. Colloquium on Group Theoretical Methods in Physics (Group 26) (New York, June 2006) (Springer Verlag, Berlin,2007)
  117. R. Ghnemat, C. Bertelle and G.H.E. Duchamp, Community Swarm Optimization, in EPNACS 2007, pp 107-118, within ECCS'07, Dresden, Germany, October 1-5, (2007).
  118. L. Jaff, C. Bertelle and G.H.E. Duchamp, Control on System Diffusion Using Genetic Automata in ESM'2007, St.Julians, Malta, October 22-24, 2007.
  119. R. Ghnemat, G.H.E. Duchamp and C. Bertelle, On the use of Generalized Derangements for Schelling's Model of Segregation in ESM'2007, St.Julians, Malta, October 22-24, 2007.
  120. R.Ghnemat, C. Bertelle and G.H.E. Duchamp, Swarm Intelligence Engineering for Spatial Organization Modelling , In proceeding of Modelling and Analysis of Complex Interacting Systems 2nd edition (MACIS 2) within ACEA 2008, Salt, Jordan, July 23-24, 2008.
  121. R.Ghnemat, C. Bertelle and G.H.E. Duchamp, Urban Dynamics Modelling using Ant Nest Building , in proceedings of Middle East Simulation and Modelling (MESM 2008), Philadelphia University, Jordan, August 26-28, 2008.
  122. R.Ghnemat, C. Bertelle and G.H.E. Duchamp, Adaptive Spatial System Emergence from Community Swarm Optimization, In proceedings of Swarm Intelligence Algorithms and Applications Symposium (SIAAS) within AISB 2008 convention, Aberdeen, Scotland, April 1-4, 2008.
  123. H. Cheballah, G. H. E. Duchamp, K. A. Penson, Approximate substitutions and the normal ordering problem , J. Phys. A: Conf. Ser. 104 012031 (2008)
  124. R. Ghnemat, C. Bertelle et G.H.E. Duchamp, Swarm Intelligence for Urban Dynamic Modelling , American Institute of Physics Proceedings 1117, BICS 2008, pp 105-115, 2009.
  125. G H E Duchamp, P Blasiak, A Horzela, K A Penson and A I Solomon, Hopf algebras: motivations and examples, doi: 10.1088/1742-6596/213/1/012011 Journal of Physics: Conference Series, Volume 213, 2010
  126. P Blasiak, A Horzela, G H E Duchamp, K A Penson and A I Solomon, Graph model of the Heisenberg-Weyl algebra , doi: 10.1088/1742-6596/213/1/012014 Journal of Physics: Conference Series, Volume 213, 2010
  127. A.I. Solomon, G.H.E. Duchamp, P. Blasiak, A. Horzela and K.A. Penson, From Quantum Mechanics to Quantum Field Theory:The Hopf route , The 28th International Colloquium on Group Theoretical Methods in Physics, (Newcastle upon Tyne, UK, July 2010), Journal of Physics: Conf. Ser. 284 , 012055, (10 pp) (2011),
    arXiv:1011.0524 [math-ph]
  128. G.H.E. Duchamp, Hoang Ngoc Minh, A.I. Solomon, Silvia Goodenough, An interface between physics and number theory , The 28th International Colloquium on Group Theoretical Methods in Physics, (Newcastle upon Tyne, UK, July 2010), Journal of Physics: Conf. Ser. 284 , 012023 (2011).
  129. G.H.E. Duchamp, Hoang Ngoc Minh, Polyzetas and irreducible Lyndon words , SMF-VMS Joint Congress (Invited paper), Hué (Viêt Nam), August 20-24, 2012
  130. G. H.E. Duchamp, Nguyen Hoang-Nghia, Adrian Tanasa, A selection-Quotient process for Packed Word Hopf Algebra Algebraic Informatics, 5th International Conference, CAI 2013, Proceedings. Lecture Notes in Computer Science, volume 8080 , Pages 223-234, 2013
    arXiv:1310.4418 [math.CO]
  131. G.H.E. Duchamp, Hoang Ngoc Minh, A differential theorem and its application to evaluations of special functions at some singularities , 2013 Joint Mathematics Meeting, San Diego (USA), 8-12 Janvier, 2013.
  132. G. H. E.Duchamp, N. Hoang-Nghia, T. Krajewski, A. Tanasa, Renormalization group-like proof of the universality of the Tutte polynomial for matroids, Proceedings FPSAC 2013, published in Discrete Mathematics & Theoretical Computer Science, pp 397-408 (2013)
    arXiv:1310.5516 [math.CO]
  133. G.H.E. Duchamp, Hoang Ngoc Minh, Factorization and Renormalization of Divergent Polyzetas , 16th WORKSHOP: NON-COMMUTATIVE HARMONIC ANALYSIS, July, 07-12, 2014, Bedlewo, Poland.
  134. G.H.E.~Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, Harmonic sums and polylogarithms at negative multiple-indices , ISSAC, July 20-23, 2015, Bath (England).
  135. V.C. B\`ui, G.H.E.~Duchamp, Hoang Ngoc Minh, Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras , ISSAC, July 20-23, 2015, Bath (England).
  136. G.H.E.~Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, Harmonic sums and polylogarithms at non negative integers , Applications of Computer Algebra, July 20-23, 2015, Kalamata (Greece).
  137. V.C. B\`ui, J.Y. Enjalbert, G.H.E.~Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, C. Tollu, Renormalization of polyzetas and around , (invited paper) in ``French-Japanese Workshop on multiple zeta functions and applications'', September 8th-9th 2015.
  138. V.C. B\`ui, J.Y. Enjalbert, G.H.E.~Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, C. Tollu, $\varphi$-deformed shuffle bialgebras and renormalization in quantum field theory , (invited paper) in ``Paths to, from and in renormalization'', February, 8th-12th 2016, Potsdam.
  139. V.C. B\`ui, G.H.E. Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, Double regularization of polyzetas at negative multi-indices and polylogarithmic trans-series , ``77i\`eme S\'eminaire Lotharingien de Combinatoire", Strobl (Autriche), 12-14 September 2016.
  140. V.C. Bui, G.H.E. Duchamp, Hoang Ngoc Minh, Q.H. Ng\^o, K. Penson, Polylogarithms and harmonic sums with complex multi-indices , (invited paper) ``Operational Methods in Fractional Dynamics", Cracovie (Pologne), 7-10 Novembre 2016.
  141. G.H.E. Duchamp, Hoang Ngoc Minh, Q.H. Ngo, K. Penson, P. Simonnet, Mathematical renormalization in quantum electrodynamics via noncommutative generating series , in “Applications of Computer Algebra”, Springer Proceedings in Mathematics and Statistics, pp. 59-100 (2017)

    Colloques d'audience nationale avec comité de lecture

  142. M. Deneufchâtel, G.H.E.~Duchamp, Hoang Ngoc Minh, Dual Families in enveloping algebras , ISSAC, 22-27 Juillet 2012, Grenoble.
  143. G.H.E. Duchamp, Hoang Ngoc Minh, Renormalization of Polyzetas , Renormalization at the confluence of analysis, algebra and geometry, Luminy 16-21 Septembre, 2012.

    Chapitres d'ouvrages

  144. G. Duchamp, D. Krob, Combinatorics on traces, chapitre 2 de The book of traces, édité par G. Rozenberg et V. Dieckert, World Scientific, (1995).

    Edition de livres

  145. Cyrille Bertelle, G\'erard H. E. Duchamp et Hakima Kadri-Dahmani (eds), Complex Systems and Self-organization Modelling Understanding Complex Systems series, Springer Verlag, Heidelberg, 2009.

Software

P. Andary, P. Caron, J. M. Champarnaud, G. Duchamp, M. Flouret, É. Laugerotte, SEA, Symbolic Environment for Automata theory.

G. Duchamp, É. Laugerotte, SHRI, Symmetric Group Hecke Algebra, Representations and Isomorphisms.

Preprints and Submitted

  1. Gérard Duchamp, Darij Grinberg, Vincel Hoang Ngoc Minh, Three variations on the linear independence of grouplikes in a coalgebra,
    arXiv:2009.10970 [math.QA] (Wed, 23 Sep 2020)
  2. Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Christophe Tollu, Bùi Chiên, Nguyen Hoang Nghia, Combinatorics of \phi-deformed stuffle Hopf algebras, pp 1-26
    arXiv:1302.5391 [math.CO] (Sat, 1 Mar 2014 07:04:25 GMT)
  3. Matthieu Deneufchâtel, Gérard H. E. Duchamp, Finite Decomposition Semigroups,
    arXiv:1303.3913 [math.CO] (Fri, 15 Mar 2013 21:57:33 GMT)
  4. Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh, Christophe Tollu, Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorizations
    arXiv:1305.4447 [math.CO] (Mon, 20 May 2013 06:36:08 GMT)
  5. Chiên Bui, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Schützenberger's factorization on the (completed) Hopf algebra of q-stuffle product
    arXiv:1305.4450 [math.CO] (Mon, 20 May 2013 07:25:06 GMT)