Publications and Preprints of Lourdes Juan
- 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).
- 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
- Fast Computation of Inverse Transcendental Functions of
Polynomial Chaos Expansion Through Iterated Means,
K. R.
Long,
K. Mackale & L. Juan (submitted) PDF
- 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
- Differential Projective Modules over
Differential Rings, L. Juan & A. Magid (2019)
Comm.
Algebra,
47(10), 4336--4346. doi:10.1080/00927872.2019.1588975,
PDF
- 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
- 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
- Surjectivities,
Octonions and Differential Galois Theory, L. Juan & A. Ledet (2017)
Comm.
Algebra 45(11): 2989--3004
doi:10.1080/00927872.2017.1281932
- Generic
Picard-Vessiot extensions for non-connected groups, L. Juan & A. Ledet (2016)
Comm. Algebra 44(7): 2989--3004.
PDF
- Differential
`Galois' extensions with new constants, L. Juan & A. Magid (2010), C. R. Acad. Sci. Paris, Ser. I,
348(9-10): 487--490, PDF
- Picard-Vessiot extensions with specified Galois group, T. Chinburg, L. Juan & A. Magid (2009) Pacific J. Math. 243(2): 233-242, PDF
- 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
- On generic
differential SOn-extensions, L. Juan & A. Ledet (2008) Proc. Amer. Math.
Soc. 136(4): 1145--1153,
PDF
- On Picard-Vessiot
extensions with group PGL3, L. Juan & A. Ledet (2007)
J. Algebra
318(2): 786--793,
PDF
- Equivariant vector fields on non-trivial SOn-torsors and
differential Galois theroy, L. Juan & A. Ledet (2007)
J. Algebra
316(2): 735--745, PDF
- Generic Picard-Vessiot extensions for connected-by-finite groups,
L. Juan (2007)
J. Algebra
312(1): 194--206,
PDF
- Generic rings for
Picard-Vessiot extensions and generic differential equations, L. Juan & A. Magid
(2007)
J. Pure
Appl. Algebra 209(3): 793--800, PDF
- Pure Picard-Vessiot extensions with
generic properties, L. Juan (2004)
Proc. Amer. Math. Soc.
132(9):
2549--2556, PDF
- Principal differential
ideals and a generic inverse differential Galois problem for
GLn, L. Juan (2002) Comm.
Algebra 30(12): 6071--6103, PDF
- Some results about
symmetric semigroups,
L. Juan (1993)
Comm.
Algebra
21:
3637-3645, PDF
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