Found results
2014
Bendel, C. P. et al. Bounding the dimensions of rational cohomology groups. Developments and Retrospectives in Lie Theory: Algebraic Methods, Developments in Mathematics 38, 51-69 (2014).
Vandehey, J. Error term improvements for van der {C}orput transforms. Q. J. Math. 65, 1461–1502 (2014).
Vandehey, J. A simpler normal number construction for simple {L}üroth series. J. Integer Seq. 17, Article 14.6.1, 18 (2014).
2013
Augmented {$\ell_1$} and nuclear-norm models with a globally linearly convergent algorithm. SIAM J. Imaging Sci. 6, 1059–1091 (2013).
Bivariate penalized splines for regression. Statist. Sinica 23, 1399–1417 (2013).
Box spline wavelet frames for image edge analysis. SIAM J. Imaging Sci. 6, 1553–1578 (2013).
Convex plumbings and {L}efschetz fibrations. J. Symplectic Geom. 11, 363–375 (2013).
A {$C^r$} trivariate macro-element based on the {A}lfeld split of tetrahedra. J. Approx. Theory 175, 114–131 (2013).
Discretized configurations and partial partitions. Proc. Amer. Math. Soc. 141, 1093–1104 (2013).
VIGRE group, U. of Georgia. First cohomology for finite groups of Lie type: simple modules with small dominant weights. Trans. Amer. Math. Soc. 365, 1025–1050 (2013).
Improved iteratively reweighted least squares for unconstrained smoothed {$\ell_q$} minimization. SIAM J. Numer. Anal. 51, 927–957 (2013).
Vandehey, J. On an incomplete argument of {E}rd{\H o}s on the irrationality of {L}ambert series. Integers 13, Paper No. A58, 6 (2013).
On non-intersecting arithmetic progressions. Acta Arith. 157, 381–392 (2013).
Vandehey, J. The normality of digits in almost constant additive functions. Monatsh. Math. 171, 481–497 (2013).
Pricing Mortgage Backed Securities. (2013).
Quadratic Points on Modular Curves. (2013).
Scattered data interpolation by bivariate splines with higher approximation order. J. Comput. Appl. Math. 242, 125–140 (2013).
On sub-Riemannian geodesics on the Engel groups: Hamilton's equations. Math. Nachr. 286, 1381–1406 (2013).
2012
Bivariate splines for ozone concentration forecasting. Environmetrics 23, 317–328 (2012).
On certain statistical properties of continued fractions with even and with odd partial quotients. Acta Arith. 156, 201–221 (2012).
Complexity for modules over the classical Lie superalgebra gl(m|n). Compos. Math. 148, 1561–1592 (2012).
Vandehey, J. On multiplicative functions with bounded partial sums. Integers 12, 741–755 (2012).
Lai, M. - J. Computational complexity. {V}ols. 1–6 1939–1980 (Springer, New York, 2012). doi:10.1007/978-1-4614-1800-9_126
. Piecewise linear approximation of the continuous {R}udin-{O}sher-{F}atemi model for image denoising. SIAM J. Numer. Anal. 50, 2446–2466 (2012).
Lai, M. - J. Computational complexity. {V}ols. 1–6 2168–2225 (Springer, New York, 2012). doi:10.1007/978-1-4614-1800-9_137
Positive Twist Knots and Thickenings. (2012).
Reconstructing 4-manifolds from {M}orse 2-functions. Proceedings of the {F}reedman {F}est 18, 103–114 (Geom. Topol. Publ., Coventry, 2012).
VIGRE group, U. of Georgia. Second cohomology for finite groups of Lie type. J. Algebra 360, 21–52 (2012).
Symmetries of Composite Knots. (2012).
Perspectives in analysis, geometry, and topology 296, 199–212 (Birkhäuser/Springer, New York, 2012).
{Trisecting 4-manifolds}. ArXiv e-prints (2012).
Twists of Shimura Curves. (2012).
2011
Complexity and module varieties for classical Lie superalgebras. Int. Math. Res. Not. IMRN 696–724 (2011). doi:10.1093/imrn/rnq090
Convergence of discrete and penalized least squares spherical splines. J. Approx. Theory 163, 1091–1106 (2011).
Fiber-connected, indefinite {M}orse 2-functions on connected {$n$}-manifolds. Proc. Natl. Acad. Sci. USA 108, 8122–8125 (2011).
{Indefinite Morse 2-functions; broken fibrations and generalizations}. ArXiv e-prints (2011).
Initial boundary value problem for two-dimensional viscous {B}oussinesq equations. Arch. Ration. Mech. Anal. 199, 739–760 (2011).
The null space property for sparse recovery from multiple measurement vectors. Appl. Comput. Harmon. Anal. 30, 402–406 (2011).
Recurrent epidemics resulting from secondary transmission routes in SIR models. Electron. J. Differential Equations No. 142, 12 (2011).
Tautological Rings of Prym Varieties. (2011).
An unconstrained {$\ell_q$} minimization with {$0. SIAM J. Optim. 21, 82–101 (2011). 2010 VIGRE group, U. of Georgia. An analog of Kostant's theorem for the cohomology of quantum groups. Proc. Amer. Math. Soc. 138, 85–99 (2010). Bivariate splines for spatial functional regression models. J. Nonparametr. Stat. 22, 477–497 (2010). Cohomology and support varieties for Lie superalgebras. Trans. Amer. Math. Soc. 362, 6551–6590 (2010). The method of virtual components in the multivariate setting. J. Fourier Anal. Appl. 16, 471–494 (2010). Sparse recovery with pre-{G}aussian random matrices. Studia Math. 200, 91–102 (2010). Lai, M. - J. On sparse solutions of underdetermined linear systems. J. Concr. Appl. Math. 8, 296–327 (2010). 2009 On (0,2)-graphs and Semibiplanes. (2009). Cohomology and support varieties for Lie superalgebras. II. Proc. Lond. Math. Soc. (3) 98, 19–44 (2009). A domain decomposition method for computing bivariate spline fits of scattered data. SIAM J. Numer. Anal. 47, 911–928 (2009). Ext^1-quivers for the Witt algebra W(1,1). J. Algebra 322, 1548–1564 (2009). Kostant modules in blocks of category O_S. Comm. Algebra 37, 323–356 (2009). VIGRE group, U. of Georgia. On Kostant's theorem for Lie algebra cohomology. Representation theory 478, 39–60 (2009). Sparsest solutions of underdetermined linear systems via {$l_q$}-minimization for {$0. Appl. Comput. Harmon. Anal. 26, 395–407 (2009).
Symplectic surgeries and normal surface singularities. Algebr. Geom. Topol. 9, 2203–2223 (2009).
Toric structures on near-symplectic 4-manifolds. J. Eur. Math. Soc. (JEMS) 11, 487–520 (2009).
2008
Category O for the Virasoro algebra: cohomology and Koszulity. Pacific J. Math. 234, 1–21 (2008).
Convergence of local variational spline interpolation. J. Math. Anal. Appl. 341, 398–415 (2008).
Energy minimization method for scattered data {H}ermite interpolation. Appl. Numer. Math. 58, 646–659 (2008).
The evolution of fidelity in sensory systems. J. Theoret. Biol. 253, 142–150 (2008).
Lai, M. - J. Approximation theory {XII}: {S}an {A}ntonio 2007 210–228 (Nashboro Press, Brentwood, TN, 2008).
2007
Analysis of a certain class of replicator equations. J. Math. Biol. 54, 357–384 (2007).
Bivariate splines of various degrees for numerical solution of partial differential equations. SIAM J. Sci. Comput. 29, 1338–1354 (2007).
Constructing {L}efschetz-type fibrations on four-manifolds. Geom. Topol. 11, 2075–2115 (2007).
Lai, M. - J. The convergence of three {$L_1$} spline methods for scattered data interpolation and fitting. J. Approx. Theory 145, 196–211 (2007).
Exploring Continuous Tensegrities. (2007).
Method of virtual components for constructing redundant filter banks and wavelet frames. Appl. Comput. Harmon. Anal. 22, 304–318 (2007).
Nash Problem on Spaces of Arcs. (2007).
Schwarz-Christoffel Transformations. (2007).
Spline functions on triangulations. Encyclopedia of Mathematics and its Applications 110, xvi+592 (Cambridge University Press, Cambridge, 2007).
VIGRE group, U. of Georgia. Support varieties for Weyl modules over bad primes. J. Algebra 312, 602–633 (2007).
Symplectic rational blow-down along {S}eifert fibered 3-manifolds. Int. Math. Res. Not. IMRN Art. ID rnm084, 20 (2007). doi:10.1093/imrn/rnm084
The Tau Constant of Metrized Graphs. (2007).
Trivariate {$C^r$} polynomial macroelements. Constr. Approx. 26, 11–28 (2007).
2006
Wavelets and splines: {A}thens 2005 123–151 (Nashboro Press, Brentwood, TN, 2006).
Lai, M. - J. Construction of multivariate compactly supported orthonormal wavelets. Adv. Comput. Math. 25, 41–56 (2006).
Lai, M. - J. Construction of multivariate compactly supported prewavelets in {$L_2$} space and pre-{R}iesz bases in {S}obolev spaces. J. Approx. Theory 142, 83–115 (2006).
Construction of multivariate compactly supported tight wavelet frames. Appl. Comput. Harmon. Anal. 21, 324–348 (2006).
Factorization of multivariate positive {L}aurent polynomials. J. Approx. Theory 139, 327–345 (2006).
Gay, D. T. Four-dimensional symplectic cobordisms containing three-handles. Geom. Topol. 10, 1749–1759 (electronic) (2006).
Wavelets and splines: {A}thens 2005 24–74 (Nashboro Press, Brentwood, TN, 2006).
An octahedral {$C^2$} macro-element. Comput. Aided Geom. Design 23, 640–654 (2006).
Wavelets and splines: {A}thens 2005 287–313 (Nashboro Press, Brentwood, TN, 2006).
Wavelets and splines: {A}thens 2005 75–92 (Nashboro Press, Brentwood, TN, 2006).
Spherical splines for data interpolation and fitting. SIAM J. Sci. Comput. 28, 241–259 (2006).
Wavelets and splines: {A}thens 2005 314–327 (Nashboro Press, Brentwood, TN, 2006).
2005
On convergence rate of the augmented {L}agrangian algorithm for nonsymmetric saddle point problems. Appl. Numer. Math. 54, 122–134 (2005).
Approximation theory {XI}: {G}atlinburg 2004 25–50 (Nashboro Press, Brentwood, TN, 2005).
Mathematical Model in Epidemiology. (2005).
Planar Location Problems with Block Distance and Barriers. Annals of Operations Research 136, 117-146 (2005).
Representation type of the blocks of category O_S. Adv. Math. 196, 193–256 (2005).
Some results on numerical divided difference formulas. Sci. China Ser. A 48, 1441–1450 (2005).
Trivariate spline approximations of 3{D} {N}avier-{S}tokes equations. Math. Comp. 74, 585–601 (2005).
VIGRE group, U. of Georgia. Varieties of nilpotent elements for simple Lie algebras. II. Bad primes. J. Algebra 292, 65–99 (2005).
2004
Bivariate splines for fluid flows. Comput. & Fluids 33, 1047–1073 (2004).
Constructing symplectic forms on 4-manifolds which vanish on circles. Geom. Topol. 8, 743–777 (2004).
On the divided differences of the remainder in polynomial interpolation. J. Approx. Theory 127, 193–197 (2004).
{$L_1$} spline methods for scattered data interpolation and approximation. Adv. Comput. Math. 21, 293–315 (2004).
A new kind of trivariate {$C^1$} macro-element. Adv. Comput. Math. 21, 273–292 (2004).
Numerical simulations on two nonlinear biharmonic evolution equations. Appl. Anal. 83, 563–577 (2004).
Boe, B. D. Relative category O, blocks, and representation type. Resenhas 6, 121–128 (2004).
Special Values of Dirichlet L-Series. (2004).
Square Dependence in Random Integers. (2004).
Sums of Integer Cubes. (2004).
On two nonlinear biharmonic evolution equations: existence, uniqueness and stability. Appl. Anal. 83, 541–562 (2004).
VIGRE group, U. of Georgia. Varieties of nilpotent elements for simple Lie algebras. I. Good primes. J. Algebra 280, 719–737 (2004).
Advances in constructive approximation: {V}anderbilt 2003 75–88 (Nashboro Press, Brentwood, TN, 2004).
2002
An Equivalence Result for Single Facility Planar Location Problems with Rectilinear Distance. Annals of Operations Research 111, 89-110 (2002).
Gay, D. T. Explicit concave fillings of contact three-manifolds. Math. Proc. Cambridge Philos. Soc. 133, 431–441 (2002).
Solving Rectilinear Planar Location Problems with Barriers by a Polynomial Partitioning. Annals of Operations Research 111, 111-133 (2002).
Gay, D. T. Symplectic 2-handles and transverse links. Trans. Amer. Math. Soc. 354, 1027–1047 (electronic) (2002).
1999
1992
Boe, B. D. A counterexample to the Gabber-Joseph conjecture. Kazhdan-Lusztig theory and related topics (Chicago, IL, 1989) 139, 1–3 (1992).
1991
The geometry of Hamiltonian systems (Berkeley, CA, 1989) 22, 9–21 (Springer, New York, 1991).
The geometry of Hamiltonian systems (Berkeley, CA, 1989) 22, 1–7 (Springer, New York, 1991).
Singularity theory and its applications, Part 1 (Coventry, 1988/1989) 1462, 1–26 (Springer, Berlin, 1991).
1990
Dual moment maps into loop algebras. Lett. Math. Phys. 20, 299–308 (1990).
Isospectral Hamiltonian flows in finite and infinite dimensions. II. Integration of flows. Comm. Math. Phys. 134, 555–585 (1990).
Multiplicity free categories of highest weight representations. I, II. Comm. Algebra 18, 947–1032, 1033–1070 (1990).
1982
1957
Flows of Isometries. (1957).