LSU Mathematics Graduate Student Publications

2000 - 2005

2005

  1. F. Cardetti, Local controllability for linear control systems on Lie groups, J. Dyn. Control Syst. 11 (2005), no. 3, 353-373, with D. Mittenhuber.

  2. M. Kovacs, On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups, J. Math. Anal. Appl. 304 (2005), 115-136.

  3. B. Lu and J. Zhong, Incorporating the Henstock Integral in Calculus Curriculum, Proceedings of the ICM 2002 Satellite Conference on the Reform of Mathematics Curriculum and its Education in the 21st Century, Chongqing, China, pages 223-230, Chongqing Publishing House, 2005.

  4. G. Matthews, Some computational tools for estimating the parameters of an algebraic geometry code, Coding Theory and Quantum Computing, 119-126, Contemporary Mathematics, vol. 381, Amer. Math. Soc., Providence, RI, 2005.

  5. G. Matthews, Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences, Journal of Pure and Applied Algebra, 195 (200), 261-280, with H. Maharaj and G. Pirsic.

  6. V. Nelson, Signed ordered knotlike quandle presentations, Algebr. Geom. Topol. 5 (2005), 443--46.

  7. N. Ortiz, Necessary conditions for the neutral problem of Bolza with continuously varying time delay, J. Math. Anal. Appl. 305 (2005), no. 2, 513-527.

  8. R. Osburn, A remark on a conjecture of Borwein and Choi, Proc. Am. Math. Soc. 133 (2005), 2903-2909.

  9. R. Osburn, On sums of three squares, Int. J. Number Th. 1 (2005), 161-173, with S. Choi and A. Kumchev.

  10. R. Osburn, Vanishing of eigenspaces and cyclotomic fields, Int. Math. Res. Not. 2005, no. 20, 1195-1202.

  11. V. Rios, Strong invariance and one-sided Lipschitz multifunctions, Nonlinear Anal. 60 (2005), no. 5, 849-862, with T. Donchev and P. Wolenski.

  12. G. Salazar, Characterization of (Fkq,Fs)-polynomials, Comm. Algebra 33 (2005), no. 2, 519-524.

  13. M. Somodi, On the size of the wild set, Canad. J. Math. 57 (2005), no. 1, 180-203.

  14. H. Wang, Equations of parametric surfaces with base points via syzygies, Journal of Symbolic Computation 39,(2005), no. 1, 73-101, with W. Adkins and J. Hoffman.

  15. Y. Zhuang, A highly parallel algorithm for the numerical simulation of unsteady diffusion processes, Proc. 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS 2005), Denver, Colorado, April, 2005, with X.-H. Sun.

2004

  1. J. Christensen, The Uncertainty Principle for Operators Determined by Lie Groups, Journal of Fourier Analysis and Applications, 10 (2004), 541-544.

  2. J. Christensen, An uncertainty principle related to the Euclidean motion group. Math. Proc. R. Ir. Acad. 104A (2004), no. 2, 249-252, with H. Schlichtkrull.

  3. C. Guneri, Artin-Schreier curves and weights of two-dimensional cyclic codes, Finite Fields Appl. 10 (2004), no. 4, 481-505.

  4. S. Ngobi, An extension of the Clark-Ocone formula, Int. J. Math. Math. Sci. 2004, no. 25-28, 1463-1476, with A. Stan.

  5. N. Ortiz, An existence theorem for neutral variational problems of Bolza, J. Math. Anal. Appl. 289 (2004), no. 1, 260-265, with P. Wolenski.

  6. N. Ortiz, The decoupling technique for continuously varying time delay systems, Set-Valued Anal. 12 (2004), no. 1-2, 225-239, with P. Wolenski.

  7. R. Osburn, A note on 4-rank densities, Canad. Math. Bull. 47 (2004), no. 3, 431-438.

  8. V. Rios, A characterization of strong invariance for perturbed dissipative systems, in Optimal Control, Stabilization, and Nonsmooth Analysis, de Queiroz, Malisoff, and Wolenski, eds, Lecture Notes in Control and Information Sciences Vol. 301, Springer-Verlag, Heidelberg, 2004, 343-349, with T. Donchev and P. Wolenski.

  9. H. Wang, Castelnouvo-Mumford Regularity in Biprojective Space, Adv. Geom. 4 (2004), no. 4, 513-536, with J. Hoffman.

  10. J. Zhong, The Kauffman skein module of a connected sum of 3-manifolds, Topology Appl. 139 (2004), no. 1-3, 113-128.

2003

  1. S. Flory, Consistency and stabilization of rational approximation schemes for C0-semigroups, Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), 181-193, Progr. Nonlinear Differential Equations Appl., 55, Birkhauser, Basel, 2003, with F. Neubrander and L. Weis.

  2. B. Murray and R. Osburn, Tame kernels and further 4-rank densities, J. Number Theory 98 (2003), no. 2, 390-406.

  3. V. Nelson, Classification of finite Alexander quandles, Proceedings of the Spring Topology and Dynamical Systems Conference. Topology Proc. 27 (2003), no. 1, 245-258.

  4. V. Nelson, The Betti numbers of some finite racks, J. Pure Appl. Algebra 178 (2003), no. 2, 187-202, with R. Litherland.

  5. N. Ortiz, Optimal control of neutral variational systems, in Proceedings of the 4th IFAC Workshop on Time Delay Systems (TDS'03), Rocquencourt, France, 2003, with P. Wolenski.

  6. V. Rios, A characterization of strongly invariant systems for a class of non-Lipschitz multifunctions, Proceedings of the 42th IEEE Conference on Decision and Control, Maui, Hawaii USA (2003), 2593-2594, with P. Wolenski.

2002

  1. C. Guneri, A bound on the number of rational points of certain Artin-Schreier families, Comm. Algebra 30 (2002), no. 9, 4251-4265.

  2. M. Kovacs, On the maximum norm contractivity of second order damped single step methods, Calcolo 40 (2002), 91-108, with I. Farago.

  3. M. Kovacs, Reachability of nonlinear fed-batch fermentation processes, Int. Journal of Robust and Nonlinear Control 20 (2002), 1109-1124, with G. Szederkenyi, K. M. Hangos.

  4. S. Ngobi, A generalization of the Ito formula, Int. J. Math. Math. Sci. 31 (2002), no. 8, 477-496.

  5. N. Ortiz, Decoupling time delays, in Proceedings of the 41st IEEE Conference on Decision and Control (Las Vegas, NV, December 2002), pp. 3551-3552, with P. Wolenski.

  6. R. Osburn, Densities of 4-ranks of K2(O), Acta Arith. 102 (2002), no. 1, 45-54.

  7. M. Somodi, Linear forms and arithmetic equivalence, Acta Arith. 105 (2002), no. 1, 1-7.

  8. J. Zhong, The Kauffman polynomials of generalized Hopf links, J. Knot Theory Ramifications 11 (2002), no. 8, 1291-1306, with B. Lu.

  9. J. Zhong, On the Kauffman skein modules, Manuscripta Math. 109 (2002), no. 1, 29-47, with B. Lu.

  10. Y. Zhuang, Stabilized explicit-implicit domain decomposition methods for the numerical solution of parabolic equations, SIAM J. Sci. Comput. 24 (2002), no. 1, 335-358, with X.-H. Sun.

2001

  1. S. Flory and Y. Zhuang, On the regularization and stabilization of approximation schemes for C0 semigroups, Partial differential equations and spectral theory (Clausthal, 2000), 119--132, Oper. Theory Adv. Appl., 126, Birkhauser, Basel, 2001, with F. Neubrander.

  2. M. Kovacs, The surface aerodynamic transfer parameterization method SAPA: description and performance analyses, Id Hojaras (Quaterly Journal of the Hungarian Meteorological Service) 105 (2001), 165-182, with F. Acs.

  3. V. Nelson, Unknotting virtual knots with Gauss diagram forbidden moves, J. Knot Theory Ramifications 10 (2001), no. 6, 931-935.

  4. M. Somodi, Galois theory for fuzzy fields, Fuzzy Sets and Systems 117 (2001), no. 3, 413-418.

  5. J. Zhong, The Homflypt skein module of a connected sum of 3-manifolds, Algebr. Geom. Topol. 1 (2001), 605-625, with P. Gilmer.

  6. J. Zhong, On the Homflypt skein module of S1x S2, Math. Z. 237 (2001), no. 4, 769-814, with P. Gilmer.

  7. Y. Zhuang, A high-order fast direct solver for singular Poisson equations, J. Comput. Phys. 171 (2001), no. 1, 79-94, with X.-H. Sun.

  8. Y. Zhuang, Stable, globally non-iterative, non-overlapping domain decomposition parallel solvers for parabolic problems, Proc. the IEEE/ACM Conference on High Performance Networking and Computing (SuperComputing2001), Denver, Colorado, Nov. 2001, with X.-H. Sun.

2000

  1. M. Kovacs, Stochastic Regular Splitting and its application to iterative methods, Pure Math. Appl. 11 (2000), 219-230, with I. Farago.

  2. M. Kovacs, Ergodic Markov chains and their applications (in Hungarian), Alkalmazott Matematikai Lapok 20 (2000), 149-164, with I. Farago.

  3. M. Somodi, About graphs with neighborhood conditions, Rev. Roumaine Math. Pures Appl. 45 (2000), no. 1, 131-139.

  4. Y. Zhuang, A high-order ADI solver for separable generalized Helmholtz equations, Advances in Engineering Software 31 (2000), 585--591, with X. Sun.

To Appear

  1. M. Aristidou, Differential Recursion Relations for Laguerre Functions on Symmetric Cones, Bulletin des Sciences Mathematiques, with M. Davidson and G. Olafsson.

  2. M. Aristidou, Laguerre functions on symmetric cones and recursion relations in the real case, J. Computational and Applied Harmonic Anal., with M. Davidson and G. Olafsson.

  3. M. Dobrescu, Wavelets without groups, Contemp. Math. (Conference proceedings), with G. Olafsson.

  4. M. Kovacs, On the norm on integer order Favard spaces, Semigroup Forum.

  5. M. Kovacs, On the maximum norm of the restricted denominator approximations, Comp. Math. Appl..

  6. B. Lu and J. Zhong, A 2-chain can interlock with a 11-chain, Geombinatorics, with J. Glass, J. O'Rouke.

  7. G. Matthews, Weierstrass semigroups and codes from a quotient of the Hermitian curve, Designs, Codes, and Cryptography.

  8. G. Matthews, On integers nonrepresentable by a generalized arithmetic progression, Integers.

  9. G. Matthews, On the floor and the ceiling of a divisor, Finite Fields and their Applications, with H. Maharaj.

  10. V. Nelson, Virtual crossing realizations, J. Knot Theory Ramifications.

  11. R. Osburn, Congruences for traces of singular moduli, Ramanujan Journal.

  12. R. Osburn, Representations of integers by certain positive definite binary quadratic forms, Ramanujan Journal, with R. Murty.

  13. K. Qazaqzeh, The parity of the Maslov index and the even cobordism category, Fund. Math., with P. Gilmer.

  14. M. Stuebner, Inverse homogenization and design of microstructure for pointwise stress control, Quarterly Journal of Mechanics and Applied Mathematics, with R. Lipton.

  15. H. Wang, Curvilinear Base Points, Local Complete Intersection and Koszul Syzygies in Biprojective Spaces, Trans. Amer. Math. Soc., with J. Hoffman.

  16. H. Wang, An Implicit Equation Given Certain Parametric Equations, Missouri Journal of Mathematical Science, with J. Burening.

Submitted Papers and Preprints

  1. M. Arslan, On the Path Components of Composition Operators on H2(D).

  2. B. Beavers, On Pancyclic Representable Matroids, with J. Oxley.

  3. J. Harris, Continuity and separation for pointwise-symmetric isotonic closure functions.

  4. J. Harris, Continuity and separation in symmetric topologies, with M. Lynch.

  5. J. Harris, On the Kauffman bracket skein module of the quaternionic manifold, with P. Gilmer.

  6. M. Holcomb, On the Moduli Space of Multipolygonal Linkages in the Plane.

  7. M. Kovacs, On the convergence of rational approximations of semigroups on intermediate spaces.

  8. N. Kwon, On descriptions of canonical left cells in extended affine Weyl group.

  9. N. Kwon, A note on abelian ideals of a Borel subalgebra.

  10. B. Lu and J. Zhong, The Kauffman Polynomials of Pretzel Knots.

  11. V. Nelson, On generalized knot groups, with X.-S. Lin.

  12. V. Nelson, Alexander quandles of order 16, with G. Murillo.

  13. V. Nelson, Matrices and finite quandles, with B. Ho.

  14. V. Nelson, On the orbit decomposition of finite quandles, with C.-Y. Wong.

  15. V. Nelson, Symbolic computation with finite quandles, with R. Henderson and T. Macedo.

  16. V. Nelson, Matrices and finite Alexander quandles, with G. Murillo and A. Thompson.

  17. K. Qazaqzeh, Periodic 3-Manifolds and Modular Categories.

  18. K. Qazaqzeh, Integral Bases of Certain TQFT-Modules of the Torus.

  19. V. Rios, Semi-solutions to limiting Hamilton-Jacobi equations with discontinuous data, with T. Donchev and P. Wolenski.

  20. V. Rios, Strong invariance for discontinuous differential inclusions in a Hilbert space, with T. Donchev and P. Wolenski.

  21. W. Schellhorn, Filamentations for virtual links.

  22. W. Schellhorn, Virtual strings for closed curves with multiple components.

  23. M. Stuebner, Optimization of composite structures subject to pointwise stress constraints, with R. Lipton.