2005 2004 M. Bronstein & P. Solé Linear recurrences with polynomial coefficients, Journal of Complexity 20, 171-181, April 2004. F.Chyzak and A.Quadrat and D.Robertz OreModules}: A symbolic package for the study of multidimensional linear systems, Proceedings of MTNS'04, Leuven (Belgium), 2004' E. Hubert Improvements to a Triangulation-Decomposition Algorithm for Ordinary Diffe rential Systems in Higher Degree Cases, Proceedings of ISSAC 2004, Santander, ACM Press, 2004 A. J. Maciejewski, M. Przybylska, J.-A. Weil Non-integrability of the generalized sping-pendulum problem, J. Phys. A, Math. Gen. 37, 7, 2579-2597, 2004 A. J. Maciejewski and M. Przybylska Non-integrability of restricted two-body problems in constant curvature spaces},Regul. Chaotic Dyn, 8, 4, 413-430, 2004 A. J. Maciejewski and M. Przybylska All meromorphically integrable 2D Hamiltonian systems with homogeneous potentials of degree 3, Phys. Lett. A, 327, 5-6, 461-473, 2004 A. J. Maciejewski and M. Przybylska Non-integrability of the generalized two fixed centres problem, Celestial Mech. Dynam. Astronom, 89, 2, 145-164, 2004 A. J. Maciejewski and M. Przybylska Non-integrability of the {S}uslov problem, J. Math. Phys, 45, 3, 1065-1078, 2004 A. J. Maciejewski and M. Przybylska Darboux polynomials and first integrals of natural polynomial Hamiltonian systems, Phys. Lett. A, 326, 3-4, 219-226, 2004 J.-F.Pommaret and A.~Quadrat A differential operator approach to multidimensional optimal control, International Journal of Control, 77, 9, 821-836, 2004 A. Quadrat On a general structure of the stabilizing controllers based on stable range, SIAM J. Control and Optimization, 42, 6, 2004 A. Quadrat An introduction to internal stabilization of infinite-dimensional linear systems, e-STA revue, 1, 1, 2004 A. Quadrat Every internally stabilizable multidimensional system admits a doubly coprime factorization,Proceedings of MTNS'04, Leuven (Belgium), 2004' A. Quadrat Stabilizing'' the stabilizing controllers, Proceedings of MTNS'04, Leuven (Belgium), 2004' 2003 S. Abramov, M. Bronstein, D. Khmelnov Regularization of linear recurrence systems, in : Transactions of the A.M. Liapunov Institute,4, 158-171, 2003 D. Boucher, J.-A. Weil Application of J.J. Morales and J.P. Ramis' theorem to the planar three-body problem, F. Fauvet, C. Mitschi, editors' in : From Combinatorics to Dynamical Systems, IRMA Lectures in Mathematical and Theoretical Physics 3, de Gruyter, 163-178, 2003 M. Bronstein, B. Trager A Reduction for Regular Differential Systems, in : Proceedings of MEGA'2003' M. Bronstein Symbolic Integration J. Grabmeier, E. Kaltofen, V. Weispfenning, editors in : Computer Algebra Handbook, Springer, Heidelberg, 94-96, 2003 F. Chyzak, A. Quadrat, D. Robertz Linear control systems over Ore algebras. Effective algorithms for the computati on of parametrizations, in : Workshop of Time-Delay Systems (TDS03) T. Cluzeau & E. Hubert, Resolvent Representation for Regular Differential Ideals, Applicable Algebra in Engineering, Communication and Computing 13, No.5, 395-425, February 2003. (Rapport de Recherche INRIA RR-4200 E. Hubert and N. Le Roux Computing power series solutions of a nonlinear PDE system Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation, Philadelphia, PA, USA. ACM Press . E. Hubert, Notes on triangular sets and triangulation-decomposition algorithms I: Polynomial systems. Symbolic and Numerical Scientific Computing 2001 F. Winkler and U. Langer (Eds) LNCS 2630, p 1-39. Springer-Verlag Heidelberg, 2003 E. Hubert, Notes on triangular sets and triangulation-decomposition algorithms II: Differential Systems Symbolic and Numerical Scientific Computing 2001 F. Winkler and U. Langer (Eds) LNCS 2630, p 40-87. Springer-Verlag Heidelberg, 2003 A. J. Maciejewski, M. Przybylska Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields Celestial Mech. Dynam. Astronom. J.-F. Pommaret, A. Quadrat A functorial approach to the behaviour of multidimensional control systems, Applied Mathematics and Computer Science, 1, 13, 7-13,2003 A. Quadrat A fractional ideal approach to stabilization problems, in : European Control Conference A. Quadrat A generalization of the Youla-Kuera parametrization for MIMO stabilizable systems in : Workshop of Time-Delay Systems (TDS03) A. Quadrat On a generalization of the Youla-Kuera parametrization. Part I: The fractional i deal approach to SISO systems, Systems and Control Letters, 2, 50, 135-148, 2003 A. Quadrat The fractional representation approach to synthesis problems: an algebraic anal ysis viewpoint. Part I: (weakly) doubly coprime factorizations, SIAM J. Control and Optimization1, 42, 266-299, 2003 A. Quadrat The fractional representation approach to synthesis problems: an algebraic analy sis viewpoint. Part II: internal stabilization, SIAM J. Control and Optimization, 1, 42, 300-320, 2003 2002 P.Gaborit, J.Ohler & P.Solé, CTRU, a polynomial analogue of NTRU, Rapport de Recherche INRIA RR-4621 S.A. Abramov & M. Bronstein, Linear algebra for skew-polynomial matrices, Rapport de Recherche INRIA RR-4420 M. Bronstein & S Lafaille, On Solutions of linear ordinary differential equations in terms of special functions, Proceedings of ISSAC 2002, p 23-28, Lille, ACM Press, 2002 PDF (.pdf 141k) R. Bomboy, Liouvillian Solutions of Ordinary Linear Difference Equations, Computer Algebra in Scientific Computing, Proceedings of CASC'2002, p 17-28, Yalta, 2002 ' 2001 M. Bronstein, Computer Algebra Algorithms for Linear Ordinary Differential and Difference equations, Proceedings of the third European Congress of Mathematics, Barcelona, Progress in Mathematic 202, Birkhauser, 2001 PDF (.pdf 247k) S.A. Abramov & M. Bronstein, On Solutions of Linear Functional Systems, Proceedings of ISSAC 2001, p 1-6, London (Ontario), ACM Press, 2001 PostScript (.ps.gz 78k) T. Cluzeau & E. Hubert, Resolvent Representation for Regular Differential Ideals, Rapport de Recherche INRIA RR-4200 2000 C.Faure, J.Davenport & H.Naciri, Multi-Valued Computer Algebra, Rapport de Recherche INRIA RR-4001, Septembre 2000 S.A. Abramov & M. Bronstein, Hypergeometric dispersion and the orbit problem, Proceedings of ISSAC 2000, p 8-13, St-Andrews, ACM Press, 2000 PostScript (.ps.gz 72k) H. Prieto, S. Dalmas & Y. Papegay, Mathematica as an OpenMath Application, SIGSAM Bulletin 34, No.2, 22-26, June 2000. M. Bronstein, On solutions of Linear Ordinary Difference Equations in their Coefficient Field, Journal of Symbolic Computation 29, No.6, 657-680, June 2000. (Rapport de Recherche INRIA RR-3797) E. Hubert, Factorisation free decomposition algorithm in differential algebra, Journal of Symbolic Computation, 2000, volume 29(4-5), 641-662 (MSRI Preprint No 1999-006, February 1999) S. Dellière, Pgcd de deux polynômes à paramètres : approche par la clôture constructible dynamique et généralisation de la méthode de S.A. Abramov, K.Yu. Kvashenko, Rapport de Recherche INRIA RR-3882, Février 2000 1999 E. Hubert, Essential components of an algebraic differential equation, Journal of Symbolic Computation, 1999, volume 28(4-5), 657-680 (MSRI Preprint No 1998-073) S. Lavirotte , L. Pottier, A. Kosmala & G. Rigoll, On-Line Handwritten Formula Recognition using Hidden Markov Models and Context Dependent Graph Grammars, Proceedings of ICDAR'99, Bangalore, Inde, IEEE Computer Society, 1999 ' J. Abbott, M. Bronstein & T. Mulders, Fast Deterministic Computation of Determinants of Dense Matrices , Proceedings of ISSAC 99, p 197-204, Vancouver, ACM Press, 1999 PostScript (.ps.gz 93k) Dvi (.dvi.gz 33k) O. Arsac , S. Dalmas & M. Gaëtano, The design of a customizable component to display and edit formulas, Proceedings of ISSAC 99, p 283-290, Vancouver, ACM Press, 1999 R. Bomboy, Réductibilité des opérateurs aux différences finies: une approche Galois-théorique, Rapport de Recherche INRIA RR-3735, Juillet 1999 M. Bronstein & A. Fredet, Solving linear ordinary differential equations over C(x,e^(int f(x)dx)) , Proceedings of ISSAC 99, p 173-179, Vancouver, ACM Press, 1999 PostScript (.ps.gz 90k) Dvi (.dvi.gz 28k)