Publications and Preprints of Lourdes Juan

  1. Fast Computation of Inverse Transcendental Functions of Polynomial Chaos Expansion Through Iterated Means, K. R. Long, K. Mackale & L. Juan (submitted) PDF
  2. The Impact of Eutrophication on the Stability of the Predator-Prey Model with Plankton Self-Shading, S.K. Sandhu, A. Morozov & L. Juan (in preparation)
  3. Differential Projective Modules over Differential Rings, L. Juan & A. Magid (2019) Comm. Algebra,  to appear. PDF
  4. Genotypic selection in spatially heterogeneous producer-grazer systems subject to stoichiometric constraints. C. Dissanayake, L. Juan, K. R. Long, A. Peace, M. M. Rana (2019) Bull. Math. Biol.
    doi: 10.1007/s11538-018-00559-9
  5. Mechanistically derived spatially heterogeneous producer-grazer model subject to stoichiometric constraints. M. M. Rana, Chandani Dissanayake, L. Juan, K. R. Long, A. Peace (2018) Math. Biosci. Eng. 16(1): 222-233 doi: 10.3934/mbe.2019012
  6. Surjectivities, Octonions and Differential Galois Theory, L. Juan & A. Ledet (2017) Comm. Algebra   45(11): 2989--3004 doi:10.1080/00927872.2017.1281932
  7. Generic Picard-Vessiot extensions for non-connected groups, L. Juan & A. Ledet (2016) Comm. Algebra  44(7): 2989--3004. PDF
  8. Differential `Galois' extensions with new constants, L. Juan & A. Magid (2010), C. R. Acad. Sci. Paris, Ser. I, 348(9-10): 487--490, PDF
  9. Picard-Vessiot extensions with specified Galois group, T. Chinburg, L. Juan & A. Magid (2009) Pacific J. Math. 243(2): 233-242, PDF
  10. Differential central simple algebras and Picard-Vessiot representations,L. Juan & A. Magid (2008) Proc. Amer. Math. Soc. 136(6): 1911-1918.
       --If you care for more details, you may take a look at this earlier version
  11. On generic differential SOn-extensions, L. Juan & A. Ledet (2008) Proc. Amer. Math. Soc. 136(4): 1145--1153, PDF
  12. On Picard-Vessiot extensions with group PGL3, L. Juan & A. Ledet (2007) J. Algebra 318(2): 786--793, PDF
  13. Equivariant vector fields on non-trivial SOn-torsors and differential Galois theroy, L. Juan & A. Ledet (2007) J. Algebra 316(2): 735--745, PDF
  14. Generic Picard-Vessiot extensions for connected-by-finite groups, L. Juan (2007) J. Algebra 312(1): 194--206, PDF
  15. Generic rings for Picard-Vessiot extensions and generic differential equations, L. Juan & A. Magid (2007) J. Pure Appl. Algebra 209(3): 793--800, PDF
  16. Pure Picard-Vessiot extensions with generic properties, L. Juan (2004) Proc. Amer. Math. Soc. 132(9): 2549--2556, PDF
  17. Principal differential ideals and a generic inverse differential Galois problem for GLn, L. Juan (2002) Comm. Algebra  30(12): 6071--6103, PDF
  18. Some results about symmetric semigroups, L. Juan (1993) Comm. Algebra  21: 3637-3645, PDF