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Mathematics

TAMU Math Publications 2006

Marcelo Aguiar

  • M. Aguiar and S. Mahajan, Coxeter Groups and Hopf Algebras. With a foreword by Nantel Bergeron, Fields Institute Monographs, 23, American Mathematical Society, Providence, RI, 2006. xvi+181 pp.

  • M. Aguiar, K. Nyman, and R. Orellana, New results on the peak algebra, J. Algebraic Combin. 23 (2006), no. 2, 149-188.

  • M. Aguiar and W. Moreira, Combinatorics of the free Baxter algebra, Electron. J. Combin. 13 (2006), no. 1, Research Paper 17, 38 pp. (electronic).

  • M. Aguiar, N. Bergeron, and F. Sottile, Combinatorial Hopf algebras and generalized Dehn-Sommerville relations, Compos. Math. 142 (2006), no. 1, 1-30.

  • M. Aguiar and F. Sottile, Structure of the Loday-Ronco Hopf algebra of trees, J. Algebra 295 (2006), no. 2, 473-511.

G. Donald Allen

  • G.D. Allen, D. Nguyen, and Y. Hsieh, The impact of web-based assessment and practice on students mathematics learning attitudes, J. of Comput. Math. Sci. Teaching 25(3) (2006), 251-279, Chesapeake, VA: AACE.

Michael Anshelevich

  • M. Anshelevich, E.G. Effros, and M. Popa, Zimmermann type cancellation in the free Faá di Bruno algebra, J. Funct. Anal. 237 (2006), 76-104.

Martin Avendano

  • M. Avendano, T. Krick, and A. Pacetti, Newton-Hensel interpolation lifting, Found. Comput. Math. 6 (2006), no. 1, 81-120.

Wolfgang Bangerth

  • K. Hwang, T. Pan, A. Joshi, J.C. Rasmussen, W. Bangerth, and E.M. Sevick-Muraca, Influence of excitation light rejection on forward model mismatch in optical tomography, Phys. Medicine Biology 51 (2006), 5889-5902.

  • H. Klie, W. Bangerth, X. Gai, M.F. Wheeler, P.L. Stoffa, M. Sen, M. Parashar, U. Catalyurek, J. Saltz, and T. Kurc, Models, methods and middleware for grid-enabled multiphysics oil reservoir management, Engrg. Comput., published online, 2006.

  • W. Bangerth, H. Klie, M.F. Wheeler, P. Stoffa, and M. Sen, On optimization algorithms for the reservoir oil well placement problem, Comput. Geosci. 10 (2006), 303-319.

  • A. Joshi, W. Bangerth, and E.M. Sevick-Muraca, Non-contact fluorescence optical tomography with scanning patterned illumination, Optics Express 14 (2006), 6516-6534.

  • A. Joshi, W. Bangerth, K. Hwang, J.C. Rasmussen, and E.M. Sevick-Muraca, Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection, Medical Phy. 33 (2006), 1299-1310.

  • A. Joshi, W. Bangerth, and E.M. Sevick-Muraca, Non-contact fluorescence optical tomography with scanning area illumination, Proc. of the IEEE Internat. Symp. on Biomedical Imaging, Arlington, VA, 2006, pp. 582-585.

  • A. Joshi, W. Bangerth, K. Hwang, J.C. Rasmussen, and E.M. Sevick-Muraca, Plane wave fluorescence tomography with adaptive finite elements, Optics Lett. 31 (2006), 193-195.

Guy Battle

  • G. Battle, A block spin construction of ondelettes, Part I: Lemarié functions, reprinted from CMP in Fundamental Papers in Wavelet Theory, C. Heil and D. Walnut (eds.), Princeton University Press, Princeton, N.J., 2006, pp. 245-269.

Gregory Berkolaiko

  • G. Berkolaiko, Diagonal approximation of the form factor of the unitary group, J. Phys. A 39 (2006), no. 4, L77-L84.

Harold P. Boas

  • H.P. Boas, Reflections on the arbelos, Amer. Math. Monthly 113 (2006) no. 3, 236-249.

Al Boggess

  • A. Boggess and D. Jupiter, Global approximation of CR functions on Bloom-Graham model graphs in Cn, Proc. Amer. Math. Soc. 134 (2006) no. 3, 723-730 (electronic).

Andrea Bonito

  • A. Bonito and E. Burman, A face penalty method for the three fields Stokes equation arising from Oldroyd-B viscoelastic flows, Numer. Math. Adv. Appl. Springer, Berlin, 2006, pp. 487-494.

  • A. Bonito, P. Clément, and M. Picasso, Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows, M2AN Math. Model. Numer. Anal. 40 (2006), no. 4, 785-814.

  • A. Bonito, P. Clément, and M. Picasso, Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows, J. Evol. Equ. 6 (2006), no. 3, 381-398.

  • A. Bonito, M. Picasso, and M. Laso, Numerical simulation of 3D viscoelastic flows with free surfaces, J. Comput. Phys. 215 (2006), no. 2, 691-716.

Lewis Bowen

  • L. Bowen, R. Lyons, C. Radin, and P. Winkler, A solidification phenomenon in random packings, SIAM J. Math. Anal. 38 (2006), no. 4, 1075-1089.

Goong Chen

  • Y. Huang, G. Chen, and D. Ma, Rapid fluctuations of chaotic maps on RN, J. Math. Anal. Appl. 323 (2006), 228-252.

  • G. Chen, Z. Diao, J. Kim, A. Neogi, K. Urtekin, and Z. Zhang, Quantum dot computing gates, Int. J. Quantum Information 4 (2006), 233-296.

  • Z. Feng, G. Chen, and S-B Hsu, A qualitative study of the damped Duffing equation and applications, Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 5, 1097-1112 (electronic).

  • G. Chen, Z. Ding, S-B Hsu, M. Kim, and J. Zhou, Mathematical analysis of a Bohr atom model, J. Math. Phys. 47 (2006), no. 2, 022107, 23 pp.

Andrew Comech

  • A. Komech and A. Komech, On global attraction to solitary waves for the Klein-Gordon equation coupled to nonlinear oscillator, Comptes Rendus Acad. Sci. Paris, Ser. I 343 (2006). no. 2, 111-114.

Prabir Daripa

  • P. Daripa, High-order Boussinesq equations for two-way propagation of shallow water waves, Eur. J. Mech. B Fluids 25(6) (2006), 1008-1021.

Dante DeBlassie

  • D. DeBlassie and R. Smits, Brownian motion in self-similar domains, Bernoulli 12 (2006), no. 1, 113-132.

  • R. Bañuelos and D. DeBlassie, The exit distribution of iterated Brownian motion in cones, Stochastic Process. Appl. 116 (2006), no. 1, 36-69.

Ronald DeVore

  • I. Daubechies, R.A. DeVore, C.S. Güntürk, and V.A. Vaishampayan, A/D conversion with imperfect quantizers, IEEE Trans. Inform. Theory 52 (2006), no. 3, 874-885.

  • R. DeVore, G. Kerkyacharian, D. Picard, and V. Temlyakov, Approximation methods for supervised learning, Found. Comput. Math. 6 (2006), no. 1, 3-58.

Veselin Dobrev

  • V. Dobrev, R. Lazarov, P. Vassilevski, and L. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations, Numer. Linear Algebra Appl. 13 (9), (2006), no. 9, 753-770.

Ronald G. Douglas

  • R.G. Douglas, Essentially reductive Hilbert modules, J. Operator Theory 55 (2006), no. 1, 117-133.

  • R.G. Douglas, A new kind of index theorem, Analysis, Geometry and Topology of Elliptic Operators, World Scientific, Singapore, 2006, pp. 369-382.

Ken Dykema

  • K. Dykema, A. Sinclair, and R.R. Smith, Values of the Pukanszky invariant in free group factors and the hyperfinite factor, J. Funct. Anal. 240 (2006), 373-398.

  • K. Dykema and N. Strawn, Manifold structure of spaces of spherical tight frames, Int. J. Pure Appl. Math. 28 (2006), no. 2, 217-256.

  • K.J. Dykema, Symmetric random walks on certain amalgamated free product groups, Topological and Asymptotic Aspects of Group Theory, R. Grigorchuk, M. Mihalik, M. Sapir and Z. Sunik, (eds.), Proc. in Contemp. Math., Vol. 394, Amer. Math. Soc., Providence, RI, 2006, pp. 87-99.

  • K.J. Dykema, On the S-transform over a Banach algebra, J. Funct. Anal. 231 (2006), no. 1, 90-110.

Yalchin Efendiev

  • Y. Efendiev and A. Pankov, Meyers type estimates for approximate solutions of nonlinear elliptic equations and their applications, Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 3, 481-492 (electronic).

  • Y. Efendiev, V. Ginting, T. Hou, and R. Ewing, Accurate multiscale finite element methods for two-phase flow simulations, Comp. Phys. 220(1) (2006), 155-174.

  • Y. Efendiev, L. Jiang, and A. Pankov, Individual homogenization of nonlinear parabolic operators, Applicable Anal. Vol. 85, No. 12, December 2006, 1433-1457.

  • J. Santos, Y. Efendiev, and L. Guarracino, Hydraulic conductivity estimation in variable saturated soils using the adjoint method, Comput. Methods Appl. Mech. Engrg. 196 (2006), no. 1-3, 161-179.

Tamás Erdélyi

  • T. Erdélyi, Bernstein-type inequalities for linear combinations of shifted Gaussians, Bull. London Math. Soc. 38 (2006), no. 1, 124-138.

  • P. Borwein and T. Erdélyi, Nikolskii-type inequalities for shift invariant function spaces, Proc. Amer. Math. Soc. 134 (2006), 3243-3246.

  • T. Erdélyi, On the denseness of certain function spaces spanned by products, J. Funct. Anal. 238 (2006), 463-470.

  • T. Erdélyi, Inequalities for exponential sums via interpolation and Turán-type reverse Markov inequalities, in the volume "Frontiers in Interpolation and Approximation, dedicated to the memory of Ambikeshwar Sharma," N.K. Govil, H.N. Mhaskar, R. Mohapatra, Z. Nashed, and J. Szabados (eds.), Chapman & Hall/CRC, Taylor & Francis, New York, 2006, pp. 119-144.

Richard Ewing

  • J. Liu, R.E. Ewing, and G. Qin, Multilevel numerical solutions of convection-dominated diffusion problems by spline wavelets, Numer. Methods Partial Differential Equations 22 (2006), no. 4, 994-1006.

  • R.E. Ewing, H. Wang, G. Qin, and S.L. Lyons An Eulerian-Lagrangian formulation for compositional flow in porous media, SPE 102512 (Internet and CD-ROM publication: www.spe.org), SPE Annual Technical Conference, San Antonio, Texas, September 2006.

  • R.K. Sinha, R.E. Ewing, and R.D. Lazarov, Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data, SIAM J. Numer. Anal. 43 (2006), no. 6, 2320-2343 (electronic).

  • R.E. Ewing, Y. Lin, J. Wang, and X. Yang, Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 13 (2006), no. 2, 283-295.

Junsheng Fang

  • J. Fang, L. Ge, and W. Li, Central sequence algebras of von Neumann algebras, Taiwanese J. Math. 10 (2006), no. 1, 187-200.

Ciprian Foias

  • C. Foias, L. Hoang, E. Olson, and M. Ziane, On the solutions to the normal form of the Navier-Stokes equations, Indiana Univ. Math. J. 55 (2006) no. 2, 631-686.

  • C. Foias and A. Biswas, On the general intertwining lifting problem. I, Acta Sci. Math. 72 (2006), 271-298.

  • R.G. Douglas and C. Foias, On the structure of the square of a C0(1) operator, Oper. Theory Adv. Appl. 170 (2006), 75-84.

Stephen A. Fulling

  • S.A. Fulling, Enumeration of tensor polynomials: A conversation with Bryan Wybourne, Symmetry, Spectroscopy and SCHUR, R.C. King, M. Bylicki, and J. Karwowski (eds.), Nicolaus Copernicus University Press, Torun, 2006, pp. 107-114. (Proceedings of Professor Brian G. Wybourne Commemorative Meeting.)

  • S.A. Fulling, Local spectral density and vacuum energy near a quantum graph vertex, Quantum Graphs and their Applications, G. Berkolaiko, R Carlson, S.A. Fulling, and P. Kuchment (eds.), Contemp. Math. 415 (2006), 161-172. (Proceedings of AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications.)

  • S.A. Fulling, Vacuum energy and spectral analysis for Robin boundaries and quantum graphs, J. Phys. A: Math. Gen. 39 (2006), 6377-6383. (Proceedings of 7th Workshop on Quantum Field Theory Under the Influence of External Conditions.)

  • Z.H. Liu and S.A. Fulling, Casimir energy with a Robin boundary: The multiple-reflection cylinder-kernel expansion, New J. Phys. 8, 234 (20 pp.), 2006 (invited contribution to focus issue on Casimir forces).

Luis Garcia-Puente

  • L.D. Garcia, A.S. Jarrah, and R. Laubenbacher, Sequential dynamical systems over words, Appl. Math. Comput. 174 (2006), no. 1, 500-510.

Rostislav Grigorchuk

  • Topological and asymptotic aspects of group theory, Proc. AMS Special Sessions on Probabilistic and Asymptotic Aspects of Group Theory, Athens, OH, March 26-27, 2004 and Topological Aspects of Group Theory, Nashville, TN, October 16-17, 2004, R. Grigorchuk, M. Mihalik, M. Sapir and Z. Sunik (eds.), Contemp. Math., 394. American Mathematical Society, Providence, RI, 2006, x+234 pp.

  • R. Grigorchuk and Z. Sunik, Asymptotic aspects of Schreier graphs and Hanoi towers groups, C. R. Math. Acad. Sci. Paris 342 (2006), no. 8, 545-550.

  • R. Grigorchuk, V. Nekrashevych, and Z. Sunik, Hanoi towers groups, Oberwolfach Report 19/2006, 11-14.

  • R. Grigorchuk, V. Nekrashevych, and Z. Sunik, Hanoi towers group on 3 pegs and its pro-finite closure, Oberwolfach Report, 25/2006, 15-17.

Jean-Luc Guermond

  • R. Laguerre, C. Nore, J. Leorat, and J.-L. Guermond, Effects of conductivity jumps in the envelope of a kinematic dynamo flow, C. R. Mecanique 334:10 (2006), 593-598.

  • A. Ern and J.-L. Guermond, Discontinuous Galerkin methods for Friedrichs' systems. II. Second-Order PDES, SIAM J. Numer. Anal. 44:6 (2006), 2363-2388.

  • A. Ern and J.-L. Guermond, Discontinuous Galerkin methods for Friedrichs' systems. I. General theory, SIAM J. Numer. Anal. 44 (2006), no. 2, 753-778 (electronic).

  • J.-L. Guermond, Fluid Mechanics: Numerical Methods. In Ecyclopedia of Mathematical Physics J.-P. Françoise, G.L. Naber, and Tsou S.T. (eds.), Oxford: Elsevier, (2006), (ISBN 978-0-1251-2666-3), Vol. 2, pp. 365-374.

  • J.-L. Guermond, P. Minev, and J. Shen, An overview of projection methods for incompressible flows, Comput. Methods Appl. Mech. Engrg. 195 (2006), 6011-6045.

  • J.-L. Guermond, A. Marra, and L. Quartapelle, Subgrid stabilized projection method for 2D unsteady flows at high Reynolds number, Comput. Methods Appl. Mech. Engrg. 195 (2006), 5857-5876.

  • A. Ern and J.-L. Guermond, Evaluation of the condition number in linear systems arising in finite element approximations, M2AN Math. Model. Numer. Anal. 40 (2006), no. 1, 29-48.

  • J.-L. Guermond, Finite-element-based Faedo-Galerkin weak solutions to the Navier-Stokes equations in the three-dimensional torus are suitable, J. Math. Pures Appl. (9) 85 (2006), no. 3, 451-464.

Robert Gustafson

  • H. Coskun and R.A. Gustafson, Well-poised Macdonald functions Wλ and Jackson coefficients ωλ on BCn, in Jack, Hall-Littlewood and Macdonald polynomials, V.B. Kuznetsov and S. Sahi (eds.), AMS Contemp. Math. Series, Vol. 417, December 2006, Providence, RI, AMS, pp. 127-156.

Christopher Hillar

  • C.J. Hillar and D.L. Rhea, A result about the density of iterated line intersections in the plane, Comput. Geom. 33 (2006) no. 3, 106-114.

Peter Howard

  • P. Howard and M. Raoofi, Pointwise asymptotic behavior of perturbed viscous shock profiles, Adv. Differential Equations 9 (2006), 1031-1080.

  • P. Howard, M. Raoofi, and K. Zumbrun, Sharp pointwise bounds for perturbed viscous shock waves, J. Hyperbolic Differ. Equ. 3 (2006) no. 2, 297-373.

  • P. Howard and K. Zumbrun, Stability of undercompressive shock profiles, J. Differential Equations 225 (2006), no. 1, 308-360.

  • P. Howard and C. Hu, Nonlinear stability for multidimensional fourth-order shock fronts, Arch. Ration. Mech. Anal. 181 (2006), no. 2, 201-260.

  • P. Howard, Pointwise Green's function estimates toward stability for degenerate viscous shock waves, Comm. Partial Differential Equations 31 (2006), no. 1-3, 73-121.

David Jimenez

  • L. Baratchart, A. Martínez-Finkelshtein, D. Jimenez, D.S. Lubinsky, H.N. Mhaskar, I. Pritsker, M. Putinar, N. Stylianopoulos, V. Totik, P. Varju, and Y. Xu, Open problems in constructive function theory, Electron. Trans. Numer. Anal. 25 (2006), 511-525.

Bill Johnson

  • W.B. Johnson and N.L. Randrianarivony, lp (p>2) does not coarsely embed into a Hilbert space, Proc. Amer. Math. Soc. 134 (2006), no. 4, 1045-1050 (electronic).

  • V.P. Fonf, W.B. Johnson, A.M. Plichko, and V. Shevchyk, Covering a compact set in a Banach space by an operator range of a Banach space with basis, Trans. Amer. Math. Soc. 358 (2006), no. 4, 1421-1434 (electronic).

Daniel Jupiter

  • D. Jupiter, A schlichtness theorem for envelopes of holomorphy, Math. Z. 253 (2006), no. 3, 623-633.

  • A. Boggess and D. Jupiter, Global approximation of CR functions on Bloom-Graham model graphs in Cn, Proc. Amer. Math. Soc. 134 (2006), no. 3, 723-730 (electronic).

Guido Kanschat

  • B. Cockburn, G. Kanschat, and D. Schötzau, A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations, J. Sci. Comput. (2006), published online.

David Kerr

  • D. Kerr and H. Li, Positive Voiculescu-Brown entropy in noncommutative toral automorphisms, Ergod. Th. Dyn. Sys. 26 (2006), 1855-1866.

Tom Kiffe

  • T. Kiffe and J. Matis, Application of population growth models based on cumulative size to pecan aphids, J. Agricultural, Biological, and Environmental Statistics, 11 (2006), noo. 4, 425-449.

Peter Kuchment

  • G. Berkolaiko, R. Carlson, S. Fulling, and P. Kuchment (eds.), Quantum Graphs and their Applications, Contemp. Math., Vol. 415, Amer. Math. Soc., Providence, RI, 2006.

  • P. Kuchment, Generalized transforms of Radon type and their applications. The Radon transform, inverse problems, and tomography, 67-91, Proc. Sympos. Appl. Math., 63, Amer. Math. Soc., Providence, RI, 2006.

Joseph Landsberg

  • J.M. Landsberg, Exterior differential systems and billiards, Geometry, Integrability and Quantization, 35-54, Softex, Sofia, 2006.

  • J.M. Landsberg and L. Manivel, A universal dimension formula for complex simple Lie algebras, Adv. Math. 201 (2006), no. 2, 379-407.

  • J.M. Landsberg and L. Manivel, The sextonions and E, Adv. Math. 201 (2006), no. 1, 143-179.

  • J.M. Landsberg, The border rank of the multiplication of 2 × 2 matrices is seven, J. Amer. Math. Soc. 19 (2006), no. 2, 447-459 (electronic).

  • Griffiths-Harris rigidity of compact Hermitian symmetric spaces, J. Differential Geometry 74 (2006), 395-405.

David Larson

  • D. Larson, D. Speegle, E. Schulz, and K. Taylor, Explicit Cross Sections of Singly Generated Group Actions, (a chapter in a book), Harmonic Analysis and Applications, C. Heil (ed.), Birkhäuser, Boston, (2006), pp. 209-230.

  • D. Han, D. Larson, Z. Pan, and W. Wogen, Separating vectors for operators, Proc. AMS 135 (electronically published on Oct 19, 2006), 713-723.

  • D. Larson, Unitary Systems and Wavelet Sets, (a chapter in a book), Appl. Numer. Harmonic Anal., T. Qian, M.I. Vai and X. Yuesheng (eds.), Birkhäuser, Verlag, Basel/Switzerland (2006), pp. 143-171.

  • D.R. Larson, W.-S. Tang and E. Weber, Robertson type theorems for countable abelian groups of unitary operators, Contemp. Math. 414 (2006), 289-295.

Raytcho Lazarov

  • C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, and R. Lazarov, Dynamic data driven simulations in stochastic environments, Comput. 77(4) (2006), 321-333.

  • P. Chatzipantelidis, R.D. Lazarov, V. Thomee, and L.B. Wahlbin, Parabolic finite element method equations in nonconvex polygonal domains, BIT Numer. Math. 43 (Suppl. 5) (2006), S113-S143.

  • V.A. Dobrev, R.D. Lazarov, P.S. Vassilevski, and L.T. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second order elliptic equations, Numer. Lin. Alg. Appl. 13(9) (2006), 753-770.

  • R.K. Sinha, R.E. Ewing, and R.D. Lazarov, Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data, SIAM J. Numer. Anal. 43 (2006) no. 6, 2320-2343 (electronic).

Riad Masri

  • R. Masri, Multiple zeta values over global function fields. Multiple Dirichlet series, automorphic forms, and analytic number theory, 157-175, Proc. Sympos. Pure Math., 75, Amer. Math. Soc., Providence, RI, 2006.

Laura F. Matusevich

  • L.F. Matusevich and E. Miller, Combinatorics of rank jumps in simplicial hypergeometric systems, Proc. Amer. Math. Soc. 134 (2006) no. 5, 1375-1381 (electronic).

Francis Narcowich

  • Q.T. Le Gia, F.J. Narcowich, J.D. Ward, and H. Wendland, Continuous and discrete least-squares approximation by radial basis functions on spheres, J. Approx. Theory 143 (2006), 124-133.

  • F.J. Narcowich, P. Petrushev, and J.D. Ward, Localized tight frames on spheres, SIAM J. Math. Anal. 38 (2006), 574-594.

  • F.J. Narcowich, P. Petrushev and J.D. Ward, Decomposition of Besov and Triebel-Lizorkin spaces on the sphere, J. Funct. Anal. 238 (2006), 5530-564.

Volodymyr Nekrashevych

  • V. Nekrashevych and L. Bartholdi, Thurston equivalence of topological polynomials, Acta Math. 197 (2006), 1-51.

  • V. Nekrashevych, Self-similar inverse semigroups and Smale spaces, Int. J. Algebra Comp. 16 no 5, (2006), 849-874.

  • A. Henriques, L. Bartholdi, and V. Nekrashevych, Automata, groups, limit spaces, and tilings, J. Algebra 305 (2006), no. 2, 629-663.

  • V. Sushchanski, E. Mocko, and V. Nekrashevych, Cycles of distance-decreasing mappings in the ring of n-adic integers, Colloq. Math. 105 (2006), no. 2, 197-205.

Piotr Nowak

  • P.W. Nowak, On coarse embeddability into lp-spaces and a conjecture of Dranishnikov, Fund. Math. 189 (2006), no. 2, 111-116.

Grigoris Paouris

  • G. Paouris, Concentration of mass on convex bodies, Geom. Funct. Anal. 16 (2006), no. 5, 1021-1049.

  • G. Paouris, Concentration of mass on isotropic convex bodies, C. R. Math. Acad. Sci. Paris 342 (2006), no. 3, 179-182.

Matthew Papanikolas

  • M. Papanikolas and C. Rasmussen, On the torsion of Jacobians of principal modular curves of level 3n, Archiv der Math. (Basel), (2006), 8 pp.

  • M. Papanikolas, A formula and a congruence for Ramanujan's τ-function, Proc. Amer. Math. Soc. 134 (2006), no. 2, 333-341 (electronic).

Joseph Pasciak

  • J.E. Pasciak and Y. Wang, A multigrid preconditioner for the mixed formulation of linear plane elasticity, SIAM J. Numer. Anal. 44 (2006) no. 2, 478-493 (electronic).

  • T. Kim, J.E. Pasciak, and P.S. Vassilevski, Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem, Numer. Linear Algebra Appl. 13 (2006) no. 1, 23-47.

  • D.M. Copeland and J.E. Pasciak, A least-squares method for axisymmetric div-curl systems, Numer. Linear Algebra Appl. 13 (2006), 733-752.

  • J. Gopalakrishnan and J.E. Pasciak, The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations, Math. Comp. 75 (2006), 1607-1719.

Carl Pearcy

  • I.B. Jung, E. Ko, and C. Pearcy, Sub-n-normal operators, Integral Equations Operator Theory 55 (2006), no. 1, 83-91.

Guergana Petrova

  • A. Chertock, A. Kurganov, and G. Petrova, Finite-volume-particle methods for models of transport of pollutant in shallow water, J. Sci. Comput. 27 (2006), 189-199.

  • A. Kurganov and G. Petrova, Adaptive Central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians, J. Sci. Comput. 27 (2006), 323-333.

Gilles Pisier

  • A similarity degree characterization of nuclear C* algebras, Publ. R.I.M.S. Kyoto 42 (2006), 691-704.

Alexei Poltoratski

  • A. Poltoratski and V. Kapustin (Steklov Inst.), Boundary convergence of vector-valued pseudocontinuable funcitons, J. Funct. Anal. 238 (2006), no. 1, 313-326.

  • A. Poltoratski and D. Sarason, Aleksandrov-Clark measures. Recent advances in operator-related function theory, 1-14, Contemp. Math. 393, Amer. Math. Soc., Providence, RI, 2006.

Bojan Popov

  • I. Christov and B. Popov, A Jiang-Tadmor scheme on unstructured triangulations, ISC technical report, 06-05-MATH (2006).

  • B. Popov and O. Trifonov, One-sided stability and convergence of the Nessyahu-Tadmor scheme, Numer. Math. 104 (2006), 539-559.

  • B. Popov and O. Trifonov, Order of convergence of minmod-type schemes, Math. Comp. 75 (2006), 1735-1753.

Andrew Raich

  • A.S. Raich, One-parameter families of operators in C, J. Geom. Anal. 16 (2006), no. 2, 353-374.

Eric Rowell

  • E.C. Rowell, A note on tensor categories of Lie type E9, J. Algebra 284 no. 1 (2006), 296-309.

  • J. Franko, E.C. Rowell, and Z. Wang, Extraspecial 2-groups and images of braid group representations, J. Knot Theory Ramifications 15, no. 4 (2006), 413-428.

  • E.C. Rowell, From quantum groups to unitary modular tensor categories, Contemp. Math. 413, 215-230, Amer. Math. Soc., Providence, RI, 2006.

Henry Schenck

  • M. Hering, H.K. Schenck, and G.G. Smith, Syzygies, multigraded regularity and toric varieties, Compo. Mathe. 142 (2006), 1499-1506.

  • J. Little and H.K. Schenck, Toric surface codes and Minkowski sums, SIAM J. Discrete Math. 20 (2006), 999-1014.

  • H.K. Schenck and A.I. Suciu, Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence, Trans. Amer. Math. Soc. 358 (2006), no. 5, 2269-2289 (electronic).

  • J.P.S. Kung and H. Schenck, Derivation modules of orthogonal duals of hyperplane arrangements, J. Algebraic Combin. 24 (2006), 253-262.

Janie Schielack

  • K.S. Sell, B.H. Herbert, C. Stuessy, and J. Schielack, Supporting student conceptual model development of complex earth systems through the use of multiple representations and inquiry, J. of Geosci. Education 54 (2006), no. 3, 396-407.

Thomas Schlumprecht

  • T. Schlumprecht and E.Odell, A universal reflexive space for the class of uniformly convex Banach spaces, Math. Ann. 335 (2006), no. 4, 901-916.

  • T. Schlumprecht, N.J.Laustsen, and A. Zsak, The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space, J. Operator Theory 56 (2006), no 2, 391-402.

  • T. Schlumprecht and E. Odell, Embedding into Banach spaces with finite dimensional decompostions, Rev. R. Acad. Cien Serie A Mat. (RACSAM) 100(1-2) (2006), 295-323.

Roger Smith

  • R.R. Smith, K.J. Dykema, and A.M. Sinclair, Values of the Pukánszky invariant in free group factors and the hyperfinite factor, J. Funct. Anal. 240 (2006), 373-398.

  • S. Popa, A.M. Sinclair, and R.R. Smith, Corrigendum to: "Perturbations of subalgebras of type II1 factors," [J. Funct. Anal. 213 (2004), no. 2, 346-379; MR2078630 (2005c:46088)], J. Funct. Anal. 235 (2006), no. 1, 355-356.

Frank Sottile

  • C. Lenart, S. Robinson, and F. Sottile, Grothendieck polynomials via permutation patterns and chains in the Bruhat order, Amer. J. of Math. 128 (2006), no. 4, 805-848.

  • J. Ruffo, Y. Sivan, E. Soprunova, and F. Sottile, Experimentation and conjectures in the real Schubert calculus for flag manifolds, Experimental Math. 15 (2006), no. 2, 199-221.

  • J.E. Goodman, A. Holmsen, R. Pollack, K. Ranestad, and F. Sottile, Cremona convexity, frame convexity, and a theorem of Santaló, Adv. Geom. 6 (2006), no. 3, 301-322.

  • E. Soprunova and F. Sottile, Lower bounds for real solutions to sparse polynomial systems, Adv. Math. 204 (2006), no. 1, 116-151.

  • B. Bertrand, F. Bihan, and F. Sottile, Polynomial systems with few real zeroes, Math. Z. 253 (2006), no. 2, 361-385.

  • M. Aguiar and F. Sottile, Cocommutative Hopf algebras of permutations and trees, J. Algebraic Combin. 22 (2006), no. 4, 451-470.

  • M. Aguiar, N. Bergeron, and F. Sottile, Combinatorial Hopf algebras and generalized Dehn-Sommerville relations, Compos. Math. 142 (2006), no. 1, 1-30.

  • M. Aguiar and F. Sottile, Structure of the Loday-Ronco Hopf algebra of trees, J. Algebra 295 (2006), no. 2, 473-511.

Peter Stiller

  • P.F. Stiller, Robustness and statistical analysis of object/image metrics, Electronic Imaging, Vision Geometry XIV, Vol. 6066, San Jose, CA, 1/06, (2006), pp. 1-9.

Emil Straube

  • S. Sahutoglu and E.J. Straube, Analytic discs, plurisubharmonic hulls, and non-compactness of the \bar∂-Neumann operator, Math. Ann. 334 (2006), no. 4, 809-820.

  • E.J. Straube, Aspects of the L2-Sobolev theory of the d-bar-Neumann problem, Proc. International Congress of Mathematicians, Madrid 2006, Vol. II, European Math. Soc., 2006, pp. 1453-1478.

Xingping Sun

  • J. Levesley and X. Sun, Corrigendum to and two open questions arising from the article: "Approximation in rough native spaces by shifts of smooth kernels on spheres" [J. Approx. Theory 133 (2005), no. 2, 269-283; MR2129483], J. Approx. Theory 138 (2006), no. 1, 124-127.

Zoran Sunik

  • L. Bartholdi and Z Sunik, Some solvable automaton groups, Contem. Math. 394 (2006), 11-30.

  • Topological and asymptotic aspects of group theory, Proc. AMS Special Sessions on Probabilistic and Asymptotic Aspects of Group Theory, Athens, OH, March 26-27, 2004, Topological Aspects of Group Theory, Nashville, TN, October 16-17, 2004, R. Grigorchuk, M. Mihalik, M. Sapir, and Z. Sunik (eds.), Contem. Math., 394, Amer. Math. Soc., Providence, RI, 2006.

  • R. Grigorchuk and Z. Sunik, Asymptotic aspects of Schreier graphs and Hanoi Towers groups, C. R. Math. Acad. Sci. Paris 342 (2006), no. 8, 545-550.

Steven Taliaferro

  • S. Taliaferro and L. Zhang, Asymptotic symmetries for conformal scalar curvature equations with singularity, Calc. Var. Parial Differential Equations 26 (2006), 401-428.

  • S. Taliaferro Isolated singularities of nonlinear elliptic inequalities. II. Asymptotic behavior of solutions, Indiana Univ. Math. J. 55 (2006), 1791-1812.

Paula Tretkoff

  • P. Tretkoff, Noncommutative geometry and number theory, Surveys in Noncommutative Geometry, AMS/CMI, Clay Mathematics Proceedings, Vol. 6, 2006.

Panayot Vassilevski

  • P. Vassilevski, 2004 Copper Mountain Conference, Held in Copper Mountain, CO, March 28-April 2, 2004, SIAM J. Sci. Comput. 27 (2006), no. 5, ix (electronic).

  • P.S. Vassilevski and L.T. Zikatanov, Multiple vector preserving interpolation mappings in algebraic multigrid, SIAM J. Matrix Anal. Appl. 27 (2006), no. 4, 1040-1055 (electronic).

  • T. Kim, J.E. Pasciak, and P.S. Vassilevski, Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem, Numer. Linear Algebra Appl. 13 (2006), no. 1, 23-47.

Tom Vogel

  • T. Vogel, Convex, rotationally symmetric liquid bridges between spheres, Pacific J. Math. 224 (2006), no. 2, 367-377.

Jay Walton

  • E.-S. Oh, J.R. Walton, D.C. Lagoudas, and J.C. Slattery, Evolution of stresses in a simple class of oxidation problems, available on-line and Acta Mech. 181 (2006), 231-255.

  • E.-S. Oh, J.C. Slattery, and J R. Walton, A theory of fracture based upon an extension of continuum mechanics to the nanoscale, J. Appl. Mech. 73(5) (2006), 792-798.

Joe Ward

  • Q.T. Le Gia, F.J. Narcowich, J.D. Ward, and H. Wendland, Continuous and discrete least-squares approximation by radial basis functions on spheres, J. Approx. Theory 143 (2006), 124-133.

  • F.J. Narcowich, P. Petrushev, and J.D. Ward, Localized tight frames on spheres, SIAM J. of Math. Anal. 38 (2006), 574-594.

  • F.J. Narcowich, P. Petrushev, and J.D. Ward, Decomposition of Besov and Triebel-Lizorkin spaces on the sphere, J. Funct. Anal. 238 (2006), 530-564.

  • F.J. Narcowich, J.D. Ward, and H. Wendland, Sololev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions, Constr. Approx. 24 (2006), 175-186.

Brian Winn

  • M.D. Esposti, S. Nonnenmacher, and B. Winn, Quantum variance and ergodicity for the baker's map, Comm. Math. Phys. 263 (2006), no. 2, 325-352.

Sarah Witherspoon

  • J. Pakianathan and S. Witherspoon, Quillen stratification for Hochschild cohomology of blocks. With an appendix by Stephen F. Siegel, Trans. Amer. Math. Soc. 358 (2006), no. 7, 2897-2916 (electronic).

Catherine Yan

  • R.L. Graham, J.C. Lagarias, C.L. Mallows, A.R. Wilks, and C.H. Yan, Apollonian circle packings: geometry and group theory. III. Higher dimensions, Discrete Comput. Geom. 35 (2006), no. 1, 37-72.

  • R.L. Graham, J.C. Lagarias, C.L. Mallows, A.R. Wilks, and C.H. Yan, Apollonian circle packings: geometry and group theory. II. Super-Apollonian group and integral packings, Discrete Comput. Geom. 35 (2006), no. 1, 1-36.

Igor Zelenko

  • I. Zelenko, Fundamental form and the Cartan tensor of (2,5)-distributions coincide, J. Dyn. Control Syst. 12 (2006), no. 2, 247-276.

  • B. Doubrov and I. Zelenko, A canonical frame for nonholonomic rank two distributions of maximal class, C. R. Math. Acad. Sci. Paris 342 (2006), no. 8, 589-594.

  • I. Zelenko, On variational approach to differential invariants of rank two distributions, Differential Geom. Appl. 24 (2006), no. 3, 235-259.

Jianxin Zhou

  • G. Chen, Z. Ding, S.-B. Hsu, M. Kim, and J. Zhou, Mathematical analysis of a Bohr atom model, J. Math. Phys. 47 (2006), no. 2, 022107, 23 pp.


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