Revues internationales avec comité de lecture
- G. Duchamp, Etude du treillis des congruences à droite
sur le monoïde bicyclique , Semigroup Forum, 33 (1986), 31-46.
- G. Duchamp, J.-Y. Thibon, Bisections reconnaissables ,
Theoretical Informatics and Applications, 22, (1988), 113-128,
(Gauthiers-Villars).
- G. Duchamp, J.-Y. Thibon, Theorèmes de transfert pour les
polynômes partiellement commutatifs, Theoretical Computer Science, 57 , (1988), 239-249, (North-Holland).
- G. Duchamp, J.-Y. Thibon, Le support de l'algèbre de Lie
libre , Discrete Math, 76, (1989), 123-129, (North-Holland).
- G. Duchamp, D. Krob, Partially commutative formal power
series , L.N. in Computer Science 469 , 257-276 (1990).
- G. Duchamp, Orthogonal projection onto the free Lie Algebra ,
Theorerical Computer Science, 79 , 227-239 (1991).
- G. Duchamp, D. Krob, The Free Partially commutative Lie
Algebra : Bases and Ranks , Advances in Math 95 (1992), 92-126.
- G. Duchamp, D. Krob, Factorisations dans le monoïde
partiellement commutatif libre , C.R. Acad. Sci. Paris, t. 312 ,
s\'erie I, 189-192, (1991).
- G. Duchamp, D. Krob, The lower central series of the Free
Partially Commutative Group , Semigroup Forum 45 , 385-394 (1992).
- G. Duchamp, D.Krob, On the partially commutative
shuffle product , Theoretical Computer Science 96 , 405-410 (1992).
- G. Duchamp, Le groupe de Magnus partiellement commutatif :
applications , Publ. du LACIM No 10 (1992).
- G. Duchamp, J.-Y. Thibon, Simple orderings for free partially
commutative groups , International Journal of Algebra and Computation 2 No.3 (1992).
- G. Duchamp, D.Krob, Free partially commutative structures ,
Journal of Algebra, 156 , 318-359 (1993).
- G. Duchamp, D.Krob, Partially commutative Magnus
transformations , International Journal of Algebra and Computation 3 No 1 15-41 (1993).
- J. Désarménien, G. Duchamp, D. Krob, G. Melançon, Quelques remarques sur les superalgèbres de Lie libres C.R.A.S. 5 (1994).
- G. Duchamp, D. Krob, B. Leclerc, J.-Y. Thibon, Déformations de projecteurs de Lie C.R.A.S. 319 , série I., 909-914, (1994)
- 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).
- 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).
- G. Duchamp, O. Khadir, Groupe d'équivalences d'arbres et monômes de Jordan , Ann. Sci. Math. Québec 19 n° 1 (1995).
- 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).
- 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).
- 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).
- G. Duchamp, D. Krob, B. Leclerc, J.-Y. Thibon,
Noncommutative symmetric functions III: deformations of Cauchy and convolution structures, Discrete Mathematics and Theoretical Computer Science, (1998).
- 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).
- 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).
- N. Dobrynin , G. Duchamp, S. Mikhalev, V. Petrogradsky, On free p-algebras
Communications in Algebra (28), 5275-5302, (2000).
- G. Duchamp, M. Flouret, É. Laugerotte, J. G. Luque, Direct and dual laws for automata with multiplicities,
Theoretical Computer Science, 267, 105-120, (2001).
- G. Duchamp, J.-G. Luque, Transitive factorisations.,
Discrete Math. special issues FPSAC'99.
- G. Duchamp, É. Laugerotte, J. G. Luque,
On the support of graph Lie algebras,
Theoretical Computer Science, 273, 283-294, (2002).
- 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
- J.-M. Champarnaud, G. Duchamp, Derivatives of rational expressions and related theorems}, T.C.S., 313, 31, (2004).
- 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)
- Gérard Duchamp, Hatem Hadj Kacem and Eric Laugerotte,
Algebraic elimination of $\epsilon$-transitions, DMTCS, Volume 7 n° 1, pp. 51-70 (2005)
- 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
- 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
- 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)
- 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]
- 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.
- 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
- 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.
- 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
- 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]
- 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.
- 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)
arXiv:0909.4846
- 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)
- 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
- 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
- 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
- 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)
arXiv : 0910.0695v2 [cs.DM]
- 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]
- 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).
- 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, {\bf 16(4)}, 501-513, 2009.
- Z.M. Odibat, N. Corson, M.A. Aziz-Aaloui, C. Bertelle,
Synchronization of chaotic fractional-order systems via linear control ,
Int. Journal of Bifurcation and Chaos, World Scientific
ed., 20(1) , pp 1-15, 2010
- 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.
- 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.
- 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)
- 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.
- 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].
- 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:1101.4497v1 [math.CO]
- 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]
- 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.
- 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).
Revues nationales avec comité de lecture
- 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
).
- 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
- 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).
- G. Duchamp, É. Laugerotte, J. G. Luque, On the support of some free partially commutative Lie algebras, WORDS 1999.
- G. Duchamp, J. G. Luque, Congruences Compatible with the Shuffle Product,
Proceedings, (FPSAC 2000), D. Krob, A.A. Mikhalev Eds., Springer.
- G. Duchamp, F. Hivert, J-Y. Thibon, Some Generalizations of Quasi-Symmetric Functions,
Proceedings, (FPSAC 2000), D. Krob, A.A. Mikhalev Eds., Springer.
- 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).
- J-.M. Champarnaud, G. Duchamp, Brzozowski's derivatives extended to multiplicities,
CIAA01 Proceedings, LNCS.
- G. Duchamp, J. G. Luque, Transitive factorizations of partially commutative free monoids and Lie algebras,
Proceedings, FPSAC 1999.
- G. Duchamp, A. A. Mikhalev, Graded shuffle algebras of prime characteristic,
Proceedings, FPSAC 1999.
- G. Duchamp, É. Laugerotte, J. G. Luque,
Extending the scalars of minimization,
Proceedings, SCI 2001.
- 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.
- G. Duchamp, É. Laugerotte, About KS theorem with noncommutative
coefficients, Proceedings, CIAA 2002.
- 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.
- 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
,
- 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).
- 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
- 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}
- Duchamp G. H. E., Hadj-Kacem H., Laugerotte E.,
On the decomposition of boolean functions , BFCA05, March 7-8, 2005.
- 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
- 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
- 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
- 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.)
- 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.)
- 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.
- 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
- 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.
- 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.
- 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
- 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
- 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)
- R. Ghnemat, C. Bertelle and G.H.E. Duchamp, A methodology for Ecological Resources Management Simulation Using Geographical Information Systems and Interacting Agent Systems , in EcoSummit 2007, Beijing, China, May 22-27, 2007.
- Z. Odibat, C. Bertelle and G.H.E. Duchamp, Numerical Approach for Interaction Complex Systems , in EcoSummit 2007, Beijing, China, May 22-27, 2007.
- R. Ghnemat, C. Bertelle and G.H.E. Duchamp, Community Swarm Optimization, in EPNACS 2007 within ECCS'07, Dresden, Germany, October 1-5, 2007.
- 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.
- 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.
- 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.
- 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.
- 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.
- H. Cheballah, G. H. E. Duchamp, K. A. Penson, Approximate substitutions and the normal ordering problem ,
J. Phys. A: Conf. Ser. 104 012031 (2008)
- G. H. E. Duchamp, C. Tollu, Sweedler's duals and Schützenberger's calculus , Conference on Combinatorics and Physics (Max PLank Institut für Mathematik).
arXiv: 0712.0125v3 [math.CO]
- 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.
- 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
- 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
- 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]
- 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).
Chapitres d'ouvrages
- G. Duchamp, D. Krob, Combinatorics on traces, chapitre 2 de The book of traces, édité par G. Rozenberg et V. Dieckert, World Scientific, (1995).
Logiciels
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.