TAMU Math Publications 2007
Marcelo Aguiar
M. Aguiar and M. Livernet, The associative operad and the weak order on the symmetric groups, J. Homotopy Relat. Struct. 2 (2007), no. 1, 57-84.
G. Donald Allen
G.D. Allen and D. Goldsby, Using and validating a triadic instrument, Academic Exchange Quarterly The Triadic Survey Instrument, Summer 2007 ISSN, Vol. 11, Issue 2, pp. 1096-1453.
Michael Anshelevich
- M. Anshelevich, Free Meixner states, Commun. Math. Phys. 276 (2007), 863-899.
Martin Avendano
M. Avendano, T. Krick, and M. Sombra, Factoring bivariate sparse (lacunary) polynomials, J. Complexity 23 (2007), no. 2, 193-216.
Wolfgang Bangerth
W. Bangerth, A. Joshi, and E. Sevick, Inverse biomedical imaging using separately adapted meshes for parameters and forward model variables, Proc. IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2007, pp. 1368-1371.
A. Joshi, W. Bangerth, R. Sharma, J. Rasmussen, W. Wang, and E. Sevick, Molecular tomographic imaging of lymph nodes with NIR fluorescence, Proc. IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2007, pp. 564-567.
W. Bangerth, Ralf Hartmann, Guido Kanschat, deal.II—a general purpose object oriented finite element library, ACM Trans. Math. Software, Vol. 33, 2007, pp. 24/1-24/27.
Ioan Bejenaru
I. Bejenaru, A.D. Ionescu, and C.E. Kenig, Global existence and uniqueness of Schrödinger maps in dimensions d ≥ 4, Adv. Math. 215 (2007), no. 1, 263-291.
Maria Belk
M. Belk, Realizability of graphs in three dimensions, Discrete Comput. Geom. 37 (2007), no. 2, 139-162.
M. Belk and R. Connelly, Realizability of graphs, Discrete Comput. Geom. 37 (2007), no. 2, 125-137.
Gregory Berkolaiko
G. Berkolaiko, A lower bound for nodal count on discrete and metric graphs, Comm. Math. Phys. 278 (2007), no. 3, 803-819.
G. Berkolaiko and M. Grinfled, Type of dynamic phase transition in bistable equations, Phys. Rev. E 76, (2007), art.061110.
G. Berkolaiko, J.P. Keating, and U. Smilansky, Quantum ergodicity for graphs related to interval maps, Comm. Math. Phys. 273 (2007), no. 1, 137-159.
Andrea Bonito
A. Bonito, P. Clément, and M. Picasso, Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow, Numer. Math. 107 (2007), no. 2, 213-255.
Ada Boralevi
A. Boralevi, The Horrocks-Mumford bundle restricted to planes, Collect. Math. 58 (2007), no. 1, 101-117.
Lewis Bowen
L. Bowen, A generalization of the prime geodesic theorem to counting conjugacy classes of free subgroups, Geom. Dedicata 124 (2007), 37-67.
Goong Chen
T. Huang, C. Li, and G. Chen, Stability of Cohen-Grossberg neural networks with unbounded distributed delays, Chaos Solitons Fractals 34 (2007), no. 3, 992-996.
S.G. Krantz, R.M. Aron, and G. Chen, Retraction of: "On the composition of the distributions x_{ +λ} and x_{ + μ}" [J. Math. Anal. Appl. 318 (2006), no. 1, 102-111; MR2210875] by B. Fisher and K. Taçs. J. Math. Anal. Appl. 330 (2007), no. 2, 1494.
G. Chen, D.A. Church, B.-G. Englert, C. Henkel, B. Rohwedder, M.O. Scully, and M.S. Zubairy, Quantum computing devices, principles, designs, and analysis, Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series, Chapman & Hall/CRC, Boca Raton, FL, 2007, xviii+542 pp.
G. Chen, Z. Ding, A. Perronnet, M.O. Scully, R. Xie, and Z. Zhang, Some fundamental mathematical properties in atomic and molecular quantum mechanics, invited paper, in High Dimensional PDEs in Science and Engineering, A. Bandrauk, M.C. Delfour, and C. Le Bris (eds.), Centre de Recherches Mathématiques (CRM) Proc. Lecture Notes Vol. 41, Université de Montréal, Amer. Math. Soc., Providence, R.I., 2007, pp. 49-72.
Z. Diao, G. Chen, and P.J.S. Shiue, A realization scheme for quantum multi-object search, in Mathematics of Quantum Computation and Quantum Technology, G. Chen, L. Kauffman and S. Lomonaco (eds.), Chapman & Hall/CRC Press, Boca Raton, FL, 2007, pp. 47-65.
Z. Zhang and G. Chen, Superconducting quantum computing devices, accepted in Mathematics of Quantum Computation and Quantum Technology, G. Chen, L. Kauffman, and S. Lomonaco (eds.), Chapman & Hall/CRC Press, Boca Raton, FL, 2007, pp. 171-221.
G. Chen, L. Kauffman, and S. Lomonaco (eds.), Mathematics of Quantum Computation and Quantum Technology, Chapman & Hall/CRC, Boca Raton, FL, 2007, 624pp.
Andrew Comech
A.I. Komech and A.A. Komech, Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator, Russ. J. Math. Phys. 14 (2007), no. 2, 164-173.
A. Comech, S. Cuccagna, and D.E. Pelinovsky, Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation, SIAM J. Math. Anal. 39 (2007), no. 1, 1-33.
A. Komech and A. Comech, Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field, Arch. Ration. Mech. Anal. 185 (2007), no. 1, 105-142.
A. Comech and A. Komech, Global attraction to solitary waves in models based on the Klein-Gordon equation, SIGMA 4 (2008), 010, 1-23. Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics, Institute of Mathematics, Kyiv, Ukraine, June 24-30, 2007.
Prabir Daripa
P. Daripa and G. Paçsa, Stabilizing effect of diffusion in enhanced oil recovery and three-layer Hele-Shaw flows with viscosity gradient, Transp. Porous Media 70 (2007), no. 1, 11-23.
Dante DeBlassie
D. DeBlassie and R. Smits, The influence of a power law drift on the exit time of Brownian motion from a half-line, Stochastic Process. Appl. 117 (2007), no. 5, 629-654.
D. DeBlassie, The change of a long lifetime for Brownian motion in a horn-shaped domain, Electron. Comm. Probab. 12 (2007), 134-139.
R.D. Deblassie and P.J. Méndez-Hernández, α-continuity properties of the symmetric α-stable process, Trans. Amer. Math. Soc. 359 (2007), no. 5, 2343-2359.
Ronald DeVore
R.A. DeVore, Deterministic constructions of compressed sensing matrices, J. Complexity 23 (2007), no. 4-6, 918-925.
R.A. DeVore, Optimal computation, in International Congress of Mathematicians, Vol. I, pp. 187-215, Eur. Math. Soc., Zürich, 2007.
P. Binev, A. Cohen, W. Dahmen, and R. DeVore, Universal piecewise polynomial estimators for machine learning, Curve and Surface Design (Avignon 2006), 48-77, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2007.
P. Binev, A. Cohen, W. Dahmen, and R. DeVore, Universal algorithms for learning theory. II. Piecewise polynomial functions, Constr. Approx. 26 (2007), no. 2, 127-152.
P. Bechler, R. Devore, A. Kamont, G. Petrova, and P. Wojtaszczyk, Greedy wavelet projections are bounded on BV, Trans. Amer. Math. Soc. 359 (2007), no. 2, 619-635.
Pandelis Dodos
S.A. Argyros and P. Dodos, Genericity and amalgamation of classes of Banach spaces, Adv. Math. 209 (2007), no. 2, 666-748.
P. Dodos and V. Ferenczi, Some strongly bounded classes of Banach spaces, Fund. Math. 193 (2007), no. 2, 171-179.
Ronald Douglas
R.G. Douglas and C. Foias, On the structure of the square of a C_{0}(1) operator, Modern Operator Theory and Applications, 75-84, Oper. Theory Adv. Appl., 170, Birkhäuser, Basel, 2007.
R.G. Douglas, T. Nakazi, and M. Seto, Shift operators on the C^{2}-valued Hardy space, Acta Sci. Math. (Szeged) 73 (2007), 792-744.
Roman Dwilewicz
R.J. Dwilewicz, An analytic point of view at toric varieties, Serdica Math. J. 33 (2007), no. 2-3, 163-240.
R. Dwilewicz, J. Mináč, A. Schultz, and J. Swallow, Hilbert 90 for biquadratic extensions, Amer. Math. Monthly 114 (2007), no. 7, 577-587.
Kenneth Dykema
K. Dykema and M.G. Viola, Non-outer conjugate Z_{p2 }-actions on free product factors, J. Operator Theory 57 (2007), no. 2, 267-301.
K. Dykema and G.H. Tucci, The free entropy dimension of some L^{∞}[0,1]-circular operators, Internat. J. Math. 18 (2007), no. 6, 613-631.
K. Dykema, Multilinear function series and transforms in free probability theory, Adv. Math. 208 (2007), no. 1, 351-407.
Yalchin Efendiev
L. Jiang, Y. Efendiev, and V. Ginting, Multiscale methods for parabolic equations with continuum spatial scales, Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 4, 833-859.
Y. Efendiev and T. Hou, Multiscale finite element methods for porous media flows and their applications, Appl. Numer. Math. 57 (2007), no. 5-7, 577-596.
L. Durlofsky, Y. Efendiev, and V. Ginting, An adaptive local-global multiscale finite volume element method for two-phase flow simulations, Adv. Water Resources 30 (2007), 576-588.
Tamás Erdélyi
T. Erdélyi and D.S. Lubinsky, Large sieve inequalities via subharmonic methods and the Mahler measure of the Fekete polynomials, Canad. J. Math. 59 (2007), no. 4, 730-741.
P. Borwein and T. Erdélyi, Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood, Acta Arith. 128 (2007), no. 4, 377-384.
T. Erdélyi, Markov-Nikolskii-type inequalities for exponential sums on a finite interval, Adv. Math. 208 (2007), 135-146.
Richard Ewing
J. Liu, H. Chen, R.E. Ewing, and G. Qin, An efficient algorithm for characteristic tracking on two-dimensional triangular meshes, Comput. 80 (2007), no. 2, 121-136.
R.E. Ewing, O.P. Iliev, R.D. Lazarov, and A. Naumovich, On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems, Numer. Methods Partial Differential Equations 23 (2007), no. 3, 652-671.
Junsheng Fang
J. Fang, D. Hadwin, and M. Ravichandran, On transitive algebras containing a standard finite von Neumann subalgebra, J. Funct. Anal. 252 (2007), no. 2, 581-602.
J. Fang, On maximal injective subalgebras of tensor products of von Neumann algebras, J. Funct. Anal. 244 (2007), no. 1, 277-288.
Francesco Fidaleo
F. Fidaleo and F. Mukhamedov, Strict weak mixing of some C*-dynamical systems based on free shifts, J. Math. Anal. Appl. 336 (2007), no. 1, 180-187.
L. Accardi, F. Fidaleo, and F. Mukhamedov, Markov states and chains on the CAR algebra, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (2007), no. 2, 165-183.
F. Fidaleo, On the entangled ergodic theorem, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (2007), no. 1, 67-77.
Ciprian Foias
R. Dascaliuc, C. Foias, and M.S. Jolly, Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane, J. Math. Phys. 48 (2007), no. 6, 065201, 33 pp.
R.A. Becker and C. Foias, Strategic Ramsey equilibrium dynamics, J. Math. Econom. 43 (2007), no. 3-4, 318-346.
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, Transitive operators and a problem of Halmos, Indiana Univ. Math. J. 56 (2007), no. 1, 119-133.
R.G. Douglas and C. Foias, On the structure of the square of a C_{0}(1) operator, Modern Operator Theory and Applications, 75-84, Oper. Theory Adv. Appl., 170, Birkhäuser, Basel, 2007.
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, Hyperinvariant subspaces for some subnormal operators, Trans. Amer. Math. Soc. 359 (2007), no. 6, 2899-2913.
C. Foias, L. Hoang, and B. Nicolaenko, On the helicity in 3D-periodic Navier-Stokes equations. I. The non-statistical case, Proc. Lond. Math. Soc. (3) 94 (2007), no. 1, 53-90.
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, On rank-one perturbations of normal operators, J. Funct. Anal. 253 (2007), 628-646.
Stephen Fulling
S.A. Fulling, K.A. Milton, P. Parashar, A. Romeo, K.V. Shajesh, and J. Wagner, How does Casimir energy fall? Phys. Rev. D 76 (2007), no. 2, 025004, 4 pp.
R. Estrada and S.A.Fulling, Functions and distributions in spaces with thick points, Int. J. Appl. Math. Stat. 10 (2007), no. S07, 25-37.
S.A. Fulling, L. Kaplan, and J.H. Wilson, Vacuum energy and repulsive Casimir forces in quantum star graphs, Phys. Rev. A 76, 012118 (2007), 7 pp.
S.A. Fulling, Vacuum energy as spectral geometry, Sym. Integ. Geom. Meth. Appl. 3, 094 (2007). (Volume associated with Midwest Geometry Conference in memory of T. Branson.)
S.A. Fulling, P. Kuchment, and J.H. Wilson, Index theorems for quantum graphs, J. Phys. A 40 (2007), 14165-14180.
S.A. Fulling, book review of Linearity, Symmetry, and Prediction in the Hydrogen Atom by S.F. Singer, Am. Math. Monthly 114 (2007), 650-653.
Juan Galvis
J. Galvis and M. Sarkis, Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations, Electron. Trans. Numer. Anal. 26 (2007), 350-384.
M. Dryja, J. Galvis, and J. Sarkis, BDDC methods for discontinuous Galerkin discretization of elliptic problems, J. Complexity 23 (2007), no. 4-6, 715-739.
J. Galvis and M. Sarkis, Balancing domain decomposition methods for mortar coupling Stokes-Darcy systems, in Domain Decomposition Methods in Science and Engineering XVI, 373-380, Lecture Notes Comput. Sci. Eng., 55, Springer, Berlin, 2007.
Sue Geller
L. Hinton, S. Geller, M. Haan, and H. Gonzalez, Generation matters: acculturation and depression in Latino caregivers, Abstract, Gerontological Soc. Amer., August 2007.
Rostislav Grigorchuk
R. Grigorchuk and Z. Sunik, Self-similarity and branching in group theory, Groups St. Andrews 2005, Vol. 1, 36-95, London Math. Soc. Lecture Note Ser., 339, Cambridge Univ. Press, Cambridge, 2007.
R. Grigorchuk, G. Pisier, and Z. Sunik, Preface [Conference on Geometric and Probabilistic Methods in Group Theory and Dynamical Systems], Texas A&M University, College Station, TX, November 3-6, 2005, Geom. Dedicata 124 (2007), 1-4.
R. Grigorchuk and V. Nekrashevych, Self-similar groups, operator algebras and Schur complement, J. Mod. Dyn. 1 (2007), no. 3, 323-370.
R. Grigorchuk, I. Bondarenko, R. Kravchenko, Y. Muntyan, V. Nekrashevych, D. Savchuk, and Z. Sunic, About classification of groups generated by automata with three states over an alphabet with two letters, and about some questions concerning these groups, (Ukrainian) Bull. Univ. Chernivtsi Vol. 336-337 (Mathematics), 2007, pp. 29-39.
R. Grigorchuk, D. Savchuk, and Z. Sunic, The spectral problem, substitutions and iterated monodromy, CRM Proc. Lecture Notes 42 (2007), Amer. Math. Soc., pp. 225-248.
R. Grigorchuk and T. Delzant, Homomorphic images of branch groups and Serre FA property, in Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov. Progress in Mathematics, Vol. 265, Birkhäuser, Verlag, Basel/Switzerland, M. Kapranov, S. Kolyada, Y.I. Manin, P. Moree, and L.A. Potyagailo (eds.), 2007, (approx. 800 pages), pp. 351-373.
Jean-Luc Guermond
J.L. Guermond and J. Pasciak, Stability of discrete Stokes operators in fractional Sobolev spaces, J. Math, Fluid Mech. (2007), online.
J.-L. Guermond, Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable, J. Math. Pures Appl. 88 (2007), no. 1, 87-106.
A. Ern, J.-L. Guermond, and G. Caplain, An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs' systems, Comm. Partial Differential Equations 32 (2007), no. 1-3, 317-341.
J.-L. Guermond and B. Popov, Linear advection with ill-posed boundary conditions via L^{1}-minimization, Internat. J. Numer. Anal. Modeling 4:1 (2007), 39-47.
J.-L. Guermond, R. Laguerre, J. Leorat, and C. Nore, An interior penalty Galerkin method for the MHD equations in heterogeneous domains, J. Comput. Phys. 221 (2007), 349-369.
Christopher Hillar
C.J. Hillar, Advances on the Bessis-Moussa-Villani trace conjecture, Linear Algebra Appl. 426 (2007), no. 1, 130-142.
M. Aschenbrenner and C.J. Hillar, Finite generation of symmetric ideals, Trans. Amer. Math. Soc. 359 (2007), no. 11, 5171-5192.
C.J. Hillar and L. Levine, Polynomial recurrences and cyclic resultants, Proc. Amer. Math. Soc. 135 (2007), no. 6, 1607-1618.
Peter Howard
P. Howard, Asymptotic behavior near planar transition fronts for the Cahn-Hilliard equation, Phys. D 229 (2007), no. 2, 123-165.
P. Howard, Nonlinear stability of degenerate shock profiles, Differential Integral Equations 20 (2007), no. 5, 515-560.
P. Howard, Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form, Comm. Math. Phys. 269 (2007), no. 3, 765-808.
David Jimenez
D. Jimenez, L. Wang, and Y. Wang, White noise hypothesis for uniform quantization errors, SIAM J. Math. Anal. 38 (2007), no. 6, 2042-2056.
Bill Johnson
W.B. Johnson and N. Randrianantoanina, On complemented versions of James's distortion theorems, Proc. Amer. Math. Soc. 135 (2007), no. 9, 2751-2757.
W.B. Johnson, B. Maurey, and G. Schechtman, Weakly null sequences in L_{1}, JAMS 20 (2007), 25-36.
Guido Kanschat
G. Kanschat, Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems, J. Comput. Appl. Math. (2007), published online.
G. Kanschat, Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme, Int. J. Numer. Methods Fluids (2007), published online.
W. Bangerth, R. Hartmann, and G. Kanschat, deal.II—a general purpose object oriented finite element library, ACM Trans. Math. Software 33(4) (2007).
B. Cockburn, G. Kanschat, and D. Schötzau, A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations, J. Sci. Comput. 31 (2007), no. 1-2, 61-73.
E. Meinköhn, G. Kanschat, R. Rannacher, and R. Wehrse, Numerical methods for multidimensional radiative transfer, Reactive Flows, Diffusion and Transport, Springer, Berlin, 2007, pp. 485-526.
David Kerr
D. Kerr and H. Li, Independence in topological and C*-dynamics, Math. Ann. 338 (2007), no. 4, 869-926.
D. Kerr, Generically infinite entropy in a simple AF algebra, Bull. London Math. Soc. 39 (2007), no. 2, 265-271.
Tom Kiffe
J.H. Matis, T.R. Kiffe, T.I. Matis, and D.E. Stevenson, Stochastic modeling of aphid population growth with nonlinear, power-law dynamics, Math. Biosci. 208 (2007), no. 2, 469-494.
T. Kiffe and J. Matis, Population size models based on cumulative size, with applications to aphids, Ecological Modelling 205 (2007), 81-92.
Leonid Kovalev
L.V. Kovalev and J.T. Tyson, Hyperbolic and quasisymmetric structure of hyperspaces, in Tradition of Ahlfors-Bers. IV, 151-166, Contemp. Math., 432, Amer. Math. Soc., Providence, RI, 2007.
L. Kovalev, D. Maldonado, and J.-M. Wu, Doubling measures, monotonicity, and quasiconformality, Math. Z. 257 (2007), no. 3, 525-545.
L.V. Kovalev, Quasiconformal geometry of monotone mappings, J. London Math. Soc. (2) 75 (2007), no. 2, 391-408.
L.V. Kovalev and D. Maldonado, Convex functions and quasiconformal mappings, in Harmonic Analysis, Partial Differential Equations, and Related Topics, 93-103, Contemp. Math., 428, Amer. Math. Soc., Providence, RI, 2007.
L.V. Kovalev, A geometric approach to accretivity, Studia Math. 181 (2007), no. 1, 87-100.
Peter Kuchment
P. Kuchment and O. Post, On the spectra of carbon nano-structures, Comm. Math. Phys. 275 (2007), no. 3, 805-826.
P. Kuchment and Y. Pinchover, Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds, Trans. Amer. Math. Soc. 359 (2007), no. 12, 5777-5815.
M. Agranovsky, P. Kuchment, and E.T. Quinto, Range descriptions for the spherical mean Radon transform, J. Funct. Anal. 248 (2007), no. 2, 344-386.
S. Fulling, P. Kuchment, and J. Wilson, Index theorems for quantum graphs, J. Phys. A 40 (2007), 14165-14180.
M. Agranovsky and P. Kuchment, Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography, Inverse Problems 23 (2007), 2089-2102.
J. Harrison, P. Kuchment, A. Sobolev, and B. Winn, On occurrence of spectral edges for periodic operators inside the Brillouin zone, J. Phys. A 40 (2007), 7597-7618.
P. Kuchment, On integral representations of solutions of periodic elliptic equations, in Probability and Mathematical Physics, A Volume in Honor of Stanislaw Molchanov, D.A. Dawson, V. Jaksic, and B. Vainberg (eds.), CRM Proceedings and Lecture Notes, Vol. 42, AMS, Providence, RI, 2007, pp. 323-339.
Joseph Landsberg
J.M. Landsberg and J. Weyman, On the ideals and singularities of secant varieties of Segre varieties, Bull. London Math. Soc. 39 (2007), no. 4, 685-697.
J.M. Landsberg and J. Weyman, On tangential varieties of rational homogeneous varieties, J. London Math. Soc. 76 (2007) (2), 513-530.
David Larson
D. Han, D. Larson, Z. Pan, and W. Wogen, Separating vectors for operators, Proc. Amer. Math. Soc. 135 (2007), no. 3, 713-723.
D. Larson, Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames, A chapter in the book: Gabor and Wavelet Frames, Institute for Mathematical Sciences, National University of Singapore, World Scientific (2007), pp. 166-214.
D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for Undergraduates, Amer. Math Soc. Student Mathematical Library, Vol. 40, AMS (2007), 295 pages.
Aaron Lauve
A. Lauve and E.J. Taft, A class of left quantum groups modeled after SL_{q}(n), J. Pure Appl. Algebra 208 (2007), no. 3, 797-803.
Raytcho Lazarov
R.D. Lazarov, S. Lu, and S.V. Pereverzev, On the balancing principle for some problems of numerical analysis, Numer. Math. 106 (2007), no. 4, 659-689.
R.E. Ewing, O.P. Iliev, R.D. Lazarov, and A. Naumovich, On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems, Numer. Methods Partial Differential Equations 23 (2007), no. 3, 652-671.
R.D. Lazarov and S.D. Margenov, CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems, J. Complexity 23(4-6) (2007), 498-515.
R.D. Lazarov and X. Ye, Stabilized discontinuous finite element approximations for Stokes equations, J. Comput. Appl. Math. 198 (1) (2007), 236-252.
K. Kachiashvili, D. Gordeziani, R. Lazarov, and D. Melikdzhanian, Modeling and simulation of pollutants transport in rivers, Appl. Math. Modelling 31 (7) (2007), 1371-1396.
Sheng-Chi Liu
S.-C. Liu, Equidistribution of Hecke eigenforms on the Hilbert modular varieties, J. Number Theory 127 (2007), no. 1, 1-9.
Fabien Marpeau
R. Abgrall and F. Marpeau, Residual distribution scheme on quadrilateral meshes, J. Sci. Comput. 30 (2007), no. 1, 131-175.
Riad Masri
R. Masri, Quantitative nonvanishing of L-series associated to canonical Hecke characters, Int. Math. Res. Not. IMRN 2007, no. 19, Art. ID rnm070, 16 pp.
R. Masri, Asymptotics for sums of central values of canonical Hecke L-series, Int. Math. Res. Not. IMRN 2007, no. 19, Art. ID rnm065, 27 pp.
R. Masri, The distribution of zeros of Epstein zeta functions over GL_{n}, Acta Arith. 128 (2007), no. 2, 157-166.
Laura Matusevich
L.F. Matusevich and U. Walther, Arbitrary rank jumps for A-hypergeometric systems through Laurent polynomials, J. London Math. Soc. (2) 75 (2007), no. 1, 213-224.
Deepak Naidu
D. Naidu, Categorical Morita equivalence for group-theoretical categories, Comm. Algebra 35 (2007), no. 11, 3544-3565.
Francis Narcowich
F.J. Narcowich, J.D. Ward, and G.B. Wright, Divergence-free RBFs on surfaces, J. Fourier Anal. Appl. 13 (2007), 643-663.
F.J. Narcowich, X. Sun, J.D. Ward, and H. Wendland, Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions, Found. Comput. Math. 7 (2007), no. 3, 369-390.
F.J. Narcowich, X. Sun, and J.D. Ward, Approximation power of RBFs and their associated SBFs: a connection, Adv. Comput. Math. 27 (2007), no. 1, 107-124.
Volodymyr Nekrashevych
V. Nekrashevych, A minimal Cantor set in the space of 3-generated groups, Geom. Dedicata 124 (2007), 153-190.
R. Grigorchuk and V. Nekrashevych, Self-similar groups, operator algebras and Schur complement, J. Mod. Dyn. 1 (2007), no. 3, 323-370.
Y. Lavrenyuk and V. Nekrashevych, On classification of inductive limits of direct products of alternating groups, J. London Math. Soc. (2) 75 (2007), no. 1, 146-162.
Zhaohu Nie
Z. Nie, A functor converting equivariant homology to homotopy, Bull. London Math. Soc. 39 (2007), no. 3, 499-508.
Piotr Nowak
P.W. Nowak, Coarsely embeddable metric spaces without Property A, J. Funct. Anal. 252 (2007), no. 1, 126-136.
P.W. Nowak, On exactness and isoperimetric profiles of discrete groups, J. Funct. Anal. 243 (2007), no. 1, 323-344.
Luke Owens
S.C. Brenner and L. Owens, A W-cycle algorithm for a weakly over-penalized interior penalty method, Comput. Methods Appl. Mech. Engrg. 196 (2007), no. 37-40, 3823-3832.
S.C. Brenner and L. Owens, A weakly over-penalized non-symmetric interior penalty method, JNAIAM J. Numer. Anal. Ind. Appl. Math. 2 (2007), no. 1-2, 35-48.
Dmitry Panchenko
D. Panchenko and M. Talagrand, On one property of Derrida-Ruelle cascades, C.R.A.S. 345 (2007), no. 11, 653-656.
D. Panchenko, A note on Talagrand's positivity principle, Electron. Comm. Probab. 12 (2007), 401-410.
D. Panchenko, Exponential control of overlap in the replica method for p-spin SK model, J. Stat. Phys. (2007), online first: 10.1007/s10955-007-9463-1.
D. Panchenko and M. Talagrand, On the overlap in the multiple spherical SK models, Ann Probab. 35 (2007), no. 6, 2321-2355.
Grigoris Paouris
B. Fleury, O. Guédon, and G. Paouris, A stability result for mean width of L_{p}-centroid bodies, Adv. Math. 214 (2007), no. 2, 865-877.
A. Giannopoulos, A. Pajor, and G. Paouris, A note on subgaussian estimates for linear functionals on convex bodies, Proc. Amer. Math. Soc. 135 (2007), no. 8, 2599-2606.
O. Guédon and G. Paouris, Concentration of mass on the Schatten classes, Ann. Inst. H. Poincaré Probab. Statist. 43 (2007), no. 1, 87-99.
Matthew Papanikolas
M. Papanikolas and C. Rasmussen, On the torsion of Jacobians of principal modular curves of level 3^{n}, Arch. Math. (Basel) 88 (2007), no. 1, 19-28.
Joseph Pasciak
J.H. Bramble and J.E. Pasciak, Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems, Math. Comp. 76 (2007), no. 258, 597-614.
Carl Pearcy
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, Transitive operators and a problem of Halmos, Indiana Univ. Math. J. 56 (2007), no. 1, 119-133.
B. Chevreau, I.B. Jung, E. Ko, and C. Pearcy, Operators that admit a moment sequence. II, Proc. Amer. Math. Soc. 135 (2007), no. 6, 1763-1767.
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, Hyperinvariant subspaces for some subnormal operators, Trans. Amer. Math. Soc. 359 (2007), no. 6, 2899-2913.
I.B. Jung, E. Ko, and C. Pearcy, Every operator almost commutes with a compact operator, Kyungpook Math. J. 47 (2007), no. 2, 221-226.
I.B. Jung, E. Ko, and C. Pearcy, A note on the spectral mapping theorem, Kyungpook Math. J. 47 (2007), no. 1, 77-79.
C. Foias, I.B. Jung, E. Ko, and C. Pearcy, On rank-one perturbations of diagonal normal operators, J. Funct. Anal. 253 (2007), 230-248.
Guergana Petrova
P. Bechler, R. Devore, A. Kamont, G. Petrova, and P. Wojtaszczyk, Greedy wavelet projections are bounded on BV, Trans. Amer. Math. Soc. 359 (2007), no. 2, 619-635.
A. Kurganov and G. Petrova, A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system, Commun. Math. Sci. 5 (2007), no. 1, 133-160.
A. Kurganov, G. Petrova, and B. Popov, Adaptive semi-discrete central-upwind schemes for nonconvex hyperbolic conservation laws, SIAM J. Sci. Comput. 29(6) (2007), 2381-2401.
Gilles Pisier
R. Grigorchuk, G. Pisier, and Z. Sunik, Preface [Conference on Geometric and Probabilistic Methods in Group Theory and Dynamical Systems], held at Texas A&M University, College Station, TX, November 3-6, 2005, Geom. Dedicata 124 (2007), 1-4.
G. Pisier, Simultaneous similarity, bounded generation and amenability, Tohoku Math. J. (2) 59 (2007), no. 1, 79-99.
Bojan Popov
A. Kurganov, G. Petrova, and B. Popov, Adaptive semi-discrete central-upwind schemes, SIAM J. Sci. Comput. 29 (2007), 2381-2401.
J.-L. Guermond and B. Popov, Linear advection with ill-posed boundary conditions via L^{1}-minimization, Numer. Anal. Modeling 4 (2007), 39-47.
Andrew Raich
A. Raich, Pointwise estimates for relative fundamental solutions of heat equations in R × C, Math. Z. 256 (2007), no. 1, 193-220.
Colleen Robles
C. Robles, Geodesics in Randers spaces of constant curvature, Trans. AMS 359 (2007), no. 4, 1633-1651.
J. Maurice Rojas
A. Dickenstein, J.M. Rojas, K. Rusek, and J. Shih, Extremal real algebraic geometry and A-discriminants, Mosc. Math. J. 7 (2007), no. 3, 425-452, 574.
F. Bihan. J.M. Rojas, and F. Sottile, On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces, in Algorithms in Algebraic Geometry, A. Dickenstein, F.-O. Schreyer, and A.J. Sommese (eds.), IMA Volumes in Mathematics and its Applications, Vol. 146, Springer-Verlag, 2007, pp. 15-20.
J.M. Rojas, Efficiently detecting embedded subtori and algebraic torsion points, invited paper, Proc. MAGIC 2005 Midwest Algebra, Geometry, and their Interactions Conference (Notre Dame University, Indiana), Oct. 7-11, 2005, A. Corso, J. Migliore, and C. Polini (eds.), Contemporary Mathematics, Vol. 448, AMS Press, 2007, pp. 213-233.
J.M. Rojas, On interpolating between quantum and classical complexity classes, Proc. Mathematics of Quantum Computation and Quantum Technology (Texas A&M University), November 13-16, 2005, Taylor & Francis, 2007, pp. 67-88.
Henry Schenck
H. Schenck, L. Gold, and H. Srinivasan, Betti numbers and degree bounds for some linked zero schemes, J. Pure Appl. Algebra 210 (2007), 481-491.
H. Schenck, D. Cox, and A. Dickenstein, A case study in bigraded commutative algebra, in Syzygies and Hilbert Functions, I. Peeva (ed.), Lecture Notes in Pure and Applied Mathematics 254, (2007), pp. 67-112.
Jane Schielack
C. Seeley and J. Schielack, A look at the development of algebraic thinking in curriculum focal points, Mathematics Teaching in the Middle School, Vol. 13, No. 5, December 2007, pp. 266-269.
J. Schielack and C. Seeley, A look at the development of data representation and analysis in curriculum focal points: a quest for coherence, Mathematics Teaching in the Middle School, Vol. 13, No. 4, November 2007, pp. 208-210.
C. Seeley and J. Schielack, A look at the development of ratios, rates, and proportionality, Mathematics Teaching in the Middle School, Vol. 13, No. 3, October 2007, pp. 140-142.
J. Schielack and C. Seeley, Implementation of the NCTM's curriculum focal points: concept versus content, Mathematics Teaching in the Middle School, Vol. 13, No. 2, September 2007, pp. 78-80.
J. Schielack, NCTM's focal points and the TEKS: sharing a professional development experience, Texas Mathematics Teacher, Vol. 56, No. 1, Spring 2007, pp. 30-31.
Thomas Schlumprecht
Th. Schlumprecht, E. Odell, and A. Zsak, Banach spaces of bounded Szlenk index, Studia Math. 183 (2007), no. 1, 63-97.
B. Sari, Th. Schlumprecht, N. Tomczak-Jaegermann, and V.G. Troitsky, On norm closed ideals in L(l_{p},l_{q}), Studia Math. 179 (2007), no. 3, 239-262.
Th. Schlumprecht, E. Odell, and A. Zsak, A new infinite game in Banach spaces with applications, Proc. International Conference in Honor of Nigel Kalton sixtieth birthday, Miami University, May 22-27, 2006, Walter de Gruyter GmbH & Co. KG., Berlin New York, (2007), pp. 147-183.
Anna Skripka
V. Kostrykin, K.A. Makarov, and A. Skripka, The Birman-Schwinger principle in von Neumann algebras of finite type, J. Funct. Anal. 247 (2007), no. 2, 492-508.
Kirby C. Smith
C.J. Maxson and K.C. Smith, Maximal rings associated with covers of abelian groups, J. Algebra 315 (2007), no. 2, 541-554.
Frank Sottile
A. Ortiz-Rodríguez and F. Sottile, Real Hessian curves, Boletín de la Sociedad Matemática Mexicana 13 (2007), no. 1, (8 pages).
D.J. Bates, F. Bihan, and F. Sottile, Bounds on the number of real solutions to polynomial equations, Internat. Math. Res. Not. IMRN 2007, no. 23, Art. ID rnm114, 7 pp.
F. Bihan, M. Rojas, and F. Sottile, Sharpness of fewnomial bound and the number of components of a fewnomial hypersurface, IMA Volume 146: Algorithms in Algebraic Geometry, A. Dickenstein, F.-Ol. Schreyer, and A.J. Sommese (eds.), Springer, New York, 2007, pp. 15-20.
F, Bihan and F. Sottile, New fewnomial upper bounds from Gale dual polynomial systems, Mosc. Math. J. 7 (2007), no. 3, 387-407, 573.
H. Brönnimann, O. Devillers, S. Lazard, and F. Sottile, Lines tangent to four triangles in three-dimensional space, Discrete Comput. Geom. 37 (2007), no. 3, 369-380.
C. Lenart and F. Sottile, A Pieri-type formula for the K-theory of a flag manifold, Trans. Amer. Math. Soc. 359 (2007), no. 5, 2317-2342.
M. Beck and F. Sottile, Irrational proofs for three theorems of Stanley, European J. Combin. 28 (2007), no. 1, 403-409.
Peter Stiller
P.F. Stiller and K. Abbott, Recognizing point configurations in full perspective, Electronic Imaging, Vision Geometry XV, Vol. 6499, San Jose, CA, January 2007, 12pp.
P.F. Stiller and D.G. Arnold, Mathematical aspects of shape analysis for object recognition, Electronic Imaging, Visual Communications and Image Processing, Vol. 6508, San Jose, CA, January 2007, 12pp.
Emil Straube
E. Straube and S. Munasinghe, Complex tangential flows and compactness of the d-bar-Neumann operator, Pacific J. Math. 232 (2007), 343-354.
Xingping Sun
S.B. Damelin, J. Levesley, and X. Sun, Energy Estimates and the Weyl Criterion on Compact Homogeneous Manifolds. Algorithms for Approximation, 359-367, Springer, Berlin, 2007.
F.J. Narcowich, X. Sun, J.D. Ward, and H. Wendland, Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions, Found. Comput. Math. 7 (2007), no. 3, 369-390.
F.J. Narcowich, X. Sun, and J.D Ward, Approximation power of RBFs and their associated SBFs: a connection, Adv. Comput. Math. 27 (2007), no. 1, 107-124.
A.B.J. Kuijlaars, E.B. Saff, and X. Sun, On separation of minimal Riesz energy points on spheres in Euclidean spaces, J. Comput. Appl. Math. 199 (2007), no. 1, 172-180.
J. Levesley and X. Sun, Perturbed kernel approximation on homogeneous manifolds, J. Comput. Appl. Math. 199 (2007), no. 1, 159-171.
Zoran Sunik
Z. Sunik, Hausdorff dimension in a family of self-similar groups, Geom. Dedicata 124 (2007), 213-236.
Z. Sunik, Rational tree morphisms and transducer integer sequences: definition and examples, J. Integer Seq. 10 (2007), no. 4, Article 07.4.3, 26 pp.
Z. Sunik, Tamari lattices, forests and Thompson monoids European J. Combin. 28 (2007), no. 4, 1216-1238.
R. Grigorchuk, D. Savchuk, and Z Sunik, The spectral problem, substitutions and iterated monodromy, CRM Proceedings and Lecture Notes 42 (2007), 225-248.
G. Arzhantseva, P. de la Harpe, D. Kahrobaei, and Z. Sunik, The true prosoluble completion of a group: examples and open problems. With an appendix by Arzhantseva and Sunik, Geom. Dedicata 124 (2007), 5-26.
S. Hermiller and Z. Sunik, Poly-free constructions for right-angled Artin groups, J. Group Theory 10 (2007), no. 1, 117-138.
R. Grigorchuk and Z. Sunik, Self-similarity and branching in group theory, Groups St. Andrews 2005, Vol. 1, 36-95, London Math. Soc. Lecture Note Ser., 339, Cambridge Univ. Press, Cambridge, 2007.
T. Andreescu, W. Stromquist, and Z. Sunik, Bandwidth reduction in rectangular grids, Algebra Discrete Math. (2007), no. 2, 1-15.
R. Grigorchuk, G. Pisier, and Z. Sunik, Preface [Conference on Geometric and Probabilistic Methods in Group Theory and Dynamical Systems], held at Texas A&M University, College Station, TX, November 3-6, 2005, Geom. Dedicata 124 (2007), 1-4.
Steven Taliaferro
S.D. Taliaferro, Isolated singularities of nonlinear parabolic inequalities, Math. Ann. 338 (2007), no. 3, 555-586.
Zachariah Teitler
Z.C. Teitler, Multiplier ideals of general line arrangements in C^{3}, Comm. Algebra 35 (2007), no. 6, 1902-1913.
Z.C. Teitler, On the intersection of the curves through a set of points in P^{2}, J. Pure Appl. Algebra 209 (2007), no. 2, 571-581.
Yaroslav Vorobets
M. Vorobets and Y. Vorobets, On a free group of transformations defined by an automaton, Geom. Dedicata 124 (2007), 237-249.
Joe Ward
F.J. Narcowich, X. Sun, and J.D. Ward, Approximation power of RBFs and their associated SBFs: a connection, Adv. Comput. Math. 27 (2007), no. 1, 107-124.
F.J. Narcowich, X. Sun, J.D. Ward, and H. Wendland, Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions, Found. Comput. Math. 7 (2007), no. 3, 369-390.
F.J. Narcowich, J.D. Ward, and G.B. Wright, Divergence-free RBFs on surfaces, J. Fourier Anal. Appl. 13 (2007), 643-663.
Joerg Willems
O. Iliev, R. Lazarov, and J. Willems, Numerical study of two-grid preconditioners for 1-D elliptic problems with highly oscillating discontinuous coefficients, Comput. Methods Appl. Math. 7 (2007), no. 1, 48-67.
Sarah Witherspoon
G. Benkart and S. Witherspoon, Quantum group actions, twisting elements, and deformations of algebras, J. Pure Appl. Algebra 208 (2007), no. 1, 371-389.
S. Witherspoon, Twisted graded Hecke algebras, J. Algebra 317 (2007), 30-42.
Catherine Yan
W.Y.C. Chen, E. Deng, R. Du, R. Stanley, and C.H. Yan, Crossings and nestings of matchings and partitions , Trans. Amer. Math. Soc. 359 (2007), 1555-1575.
R.B. Ellis, J.L. Martin, and C. Yan, Random geometric graph diameter in the unit ball, Algorithmica 47 (2007), no. 4, 421-438.
J.P.S. Kung, X. Sun, and C. Yan, Two-boundary lattice paths and parking functions, Adv. Appl. Math. 39 (2007), no. 4, 515-524.
Matthew Young
M.P. Young, Analytic number theory and ranks of elliptic curves, in Ranks of Elliptic Curves and Random Matrix Theory, 71-91, London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
Igor Zelenko
I. Zelenko and C. Li, Parametrized curves in Lagrange Grassmannians, C. R. Math. Acad. Sci. Paris 345 (2007), no. 11, 647-652.
A. Agrachev and I. Zelenko, On feedback classification of control-affine systems with one- and two-dimensional inputs, SIAM J. Control Optim. 46 (2007), no. 4, 1431-1460.
Jianxin Zhou
J. Zhou, Optimization with some uncontrollable variables: a min-equilibrium approach, J. Industrial Management Optim. 3 (2007), 129-138.
X. Yao and J. Zhou, Numerical methods for computing nonlinear eigenpairs. I. Iso-homogeneous cases, SIAM J. Sci. Comput. 29 (2007), no. 4, 1355-1374.
X. Yao and J. Zhou, Unified convergence results on a minimax algorithm for finding multiple critical points in Banach spaces, SIAM J. Numer. Anal. 45 (2007), no. 3, 1330-1347.
X. Chen and J. Zhou, On homotopy continuation method for computing multiple critical points, Numer. Methods Partial Differential Equations, in press, published online July 26, 2007.
X. Chen, J. Zhou, and X. Yao, A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems, J. Appl. Numer. Math., in press, published online October 18, 2007.
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