Articles dans des revues avec comité de lecture / Refereed journal publications

 

V. V. Kravchenko, S. Morelos-Guadarrama¹ and S. Tremblay
Complete systems of recursive integrals and Taylor series of solutions of Sturm-Liouville equations [arXiv]
Mathematical Methods in the Applied Sciences, 35, No 6 704 - 715 (2011).

 

V. V. Kravchenko and S. Tremblay
Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators [arXiv]
Mathematical Methods in the Applied Sciences, 34, No 16 1999 - 2010 (2011).

 

V. V. Kravchenko and S. Tremblay
Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator [arXiv]
Journal of Mathematical Analysis and Applications, 370, 242-257 (2010).

 

V. K. Kravchenko, V. V. Kravchenko and S. Tremblay
Zakharov-Shabat system and hyperbolic pseudoanalytic function theory [arXiv]
Mathematical Methods in the Applied Sciences, 33, No 4, 448 - 453 (2010).

I. Ste-Marie¹ and S. Tremblay
Symmetries of differential-difference dynamical systems in a two-dimensional lattice [arXiv]
Journal of Physics A: Mathematical and Theoretical, 42, 454020 (2009).

 

V. V. Kravchenko and S. Tremblay
On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory [arXiv]
Journal of Physics A: Mathematical and Theoretical, 41, No 6 (2008).

 

D. Rochon and S. Tremblay
Bicomplex quantum mechanics: II. The Hilbert space [arXiv]
Advances in Applied Clifford Algebras, 16, No 2: 135-157 (2006).

 

E. Pelantova, M. Svobodova and S. Tremblay
Fine grading of sl(p^2,C) generated by tensor product of generalized Pauli matrices and its symmetries [arXiv]
Journal of Mathematical Physics, 47, No 1: 5341-5357 (2006).

D. Rochon and S. Tremblay
Bicomplex quantum mechanics: I. The generalized Schrödinger equation [arXiv]
Advances in Applied Clifford Algebras, 14, No 2: 231-248 (2004).

D. Levi, S. Tremblay and P. Winternitz
Lie symmetries of multidimensional difference equations [arXiv]
Journal of Physics A: Mathematical and Theoretical, 34, No 44: 9507-9524 (2001).


S. Tremblay and P. Winternitz
Invariants of the nilpotent and solvable triangular Lie algebras [arXiv]
Journal of Physics A: Mathematical and Theoretical, 34, No 42: 9085-9099 (2001).


S. Lafortune, S. Tremblay and P. Winternitz
Symmetry classification of diatomic molecular chains [arXiv]
Journal of Mathematical Physics, 42, No 11: 5341-5357 (2001).


D. Levi, S. Tremblay and P. Winternitz
Continuous symmetries of equations on lattices
Czechoslovak Journal of Physics, 51, No 4: 349-356 (2001).


S. Tremblay, A. Ramani and B. Grammaticos
Integrable lattice equations and their growth properties [arXiv]
Physics Letter A, 6, No 278: 319-324 (2001).


D. Levi, S. Tremblay and P. Winternitz
Lie point symmetries of difference equations and lattices [arXiv]
Journal of Physics A: Mathematical and Theoretical, 33, No 47: 8507-8523 (2000).


A. Ramani, B. Grammaticos and S. Tremblay
Integrable systems without the Painlevé property [arXiv]
Journal of Physics A: Mathematical and Theoretical, 33, No 15: 3045-3052 (2000).


S. Tremblay and P. Winternitz
Solvable Lie algebras with triangular nilradicals [arXiv]
Journal of Physics A: Mathematical and Theoretical, 31, No 2: 789-806 (1998).

 

¹Étudiant(e) aux cycles supérieurs / Graduate student 

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Thèse de doctorat / Ph. D. thesis

Titre / Title: « Symétries et singularités des équations aux variables discrètes »

Centre de recherches mathématiques, Université de Montréal (2001)

Directeur de recherche / Advisor: Pavel Winternitz

 

Mémoire de maîtrise / Master's thesis

Titre / Title: « Algèbres de Lie résolubles avec nilradicaux triangulaires »

Centre de recherches mathématiques, Université de Montréal (1997)

Directeur de recherche / Advisor: Pavel Winternitz

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Mon / My Google scholar