Publications and Preprints of Lourdes Juan

  1. Path integration and the structural sensitivity problem in partially specified biological models L. Juan, J. Kulik, K. Long, A. Morozov, and J. Slocum, (SIAM Journal on Applied Mathematics, to appear).
  2. Differential Projective Modules over Differential Rings, II, L. Juan & A. Magid, (2022) PDF Comm. Algebra,   50(9), 3803-3815 doi:10.1080/00927872.2022.2045493
  3. Fast Computation of Inverse Transcendental Functions of Polynomial Chaos Expansion Through Iterated Means, K. R. Long, K. Mackale & L. Juan (submitted) PDF
  4. Revisiting the Impact of Spatial Heterogeneity in the Stabilisation of Tri-Trophic Plankton Ecosystems, S. K. Sandhu, A. Morozov & L. Juan (2020) J. Theoret. Biol. Volume 499, 21 August 2020, 110311 doi:10.1016/j.jtbi.2020.110311
  5. Differential Projective Modules over Differential Rings, L. Juan & A. Magid (2019) Comm. Algebra,  47(10), 4336--4346. doi:10.1080/00927872.2019.1588975, PDF
  6. 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.   81, 4726--4742.
    doi: 10.1007/s11538-018-00559-9
  7. 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
  8. Surjectivities, Octonions and Differential Galois Theory, L. Juan & A. Ledet (2017) Comm. Algebra   45(11): 2989--3004 doi:10.1080/00927872.2017.1281932
  9. Generic Picard-Vessiot extensions for non-connected groups, L. Juan & A. Ledet (2016) Comm. Algebra  44(7): 2989--3004. PDF
  10. Differential `Galois' extensions with new constants, L. Juan & A. Magid (2010), C. R. Acad. Sci. Paris, Ser. I, 348(9-10): 487--490, PDF
  11. Picard-Vessiot extensions with specified Galois group, T. Chinburg, L. Juan & A. Magid (2009) Pacific J. Math. 243(2): 233-242, PDF
  12. 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
  13. On generic differential SOn-extensions, L. Juan & A. Ledet (2008) Proc. Amer. Math. Soc. 136(4): 1145--1153, PDF
  14. On Picard-Vessiot extensions with group PGL3, L. Juan & A. Ledet (2007) J. Algebra 318(2): 786--793, PDF
  15. Equivariant vector fields on non-trivial SOn-torsors and differential Galois theroy, L. Juan & A. Ledet (2007) J. Algebra 316(2): 735--745, PDF
  16. Generic Picard-Vessiot extensions for connected-by-finite groups, L. Juan (2007) J. Algebra 312(1): 194--206, PDF
  17. Generic rings for Picard-Vessiot extensions and generic differential equations, L. Juan & A. Magid (2007) J. Pure Appl. Algebra 209(3): 793--800, PDF
  18. Pure Picard-Vessiot extensions with generic properties, L. Juan (2004) Proc. Amer. Math. Soc. 132(9): 2549--2556, PDF
  19. Principal differential ideals and a generic inverse differential Galois problem for GLn, L. Juan (2002) Comm. Algebra  30(12): 6071--6103, PDF
  20. Some results about symmetric semigroups, L. Juan (1993) Comm. Algebra  21: 3637-3645, PDF