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TAMU Math Publications 2010

Marcelo Aguiar

  • M. Aguiar and S. Mahajan, Monoidal Functors, Species and Hopf Algebras, CRM Monograph Series, Vol. 29, 2010, 830 pp.

Michael Anshelevich

  • M. Anshelevich, Product-type non-commutative polynomial states, in Noncommutative Harmonic Analysis with Applications to Probability II, Banach Center Publ., Vol. 89, Polish Acad. Sci. Inst. Math., Warsaw, 2010, pp. 45-59.

  • M. Anshelevich, Free evolution on algebras with two states, J. Reine Angew. Math. 638 (2010), 75-101.

  • M. Anshelevich, S. Teodor Belinschi, M. Bożejko, and F. Lehner, Free infinite divisibility for q-Gaussians, Math. Res. Lett. 17 (2010), 905-916.

Wolfgang Bangerth

  • C.-C. Chueh, M. Secanell, W. Bangerth, and N. Djilali, Multi-level adaptive simulation of transient two-phase flow in heterogeneous porous media, Comput. Fluids 39 (2010), 1585-1596.

  • W. Bangerth, M. Geiger and R. Rannacher, Adaptive Galerkin finite element methods for the wave equation, Comput. Methods Appl. Math. 10 (2010), 3-48.

  • B. Turcksin, J.C. Ragusa and W. Bangerth, Goal-oriented h-adaptivity for the multigroup SPN equations, Nuclear Sci. Engrg. 165 (2010), 305-31.

  • T. Heister, M. Kronbichler and W. Bangerth, Massively parallel finite element programming, Recent Advances in the Message Passing Interface, Lecture Notes in Computer Science, Vol. 6305, 2010, pp. 122-131.

  • T. Heister, M. Kronbichler and W. Bangerth, Generic finite element programming for massively parallel flow simulations, Proceedings of the ECCOMAS CFD 2010: Fifth European Conference on Computational Fluid Dynamics, Lisbon, Portugal, June 14-17, 2010.

Gregory Berkolaiko

  • G. Berkolaiko and B. Winn, Relationship between scattering matrix and spectrum of quantum graphs, Trans. AMS 362 (2010), 6261-6277.

  • J. Kuipers, D. Waltner, C. Petitjean, G. Berkolaiko, and K. Richter, Semiclassical gaps in the density of states of chaotic Andreev billiards, Phys. Rev. Lett. 104 (2010), 027001.

  • G. Berkolaiko and J. Kuipers, Moments of the Wigner delay times, J. Phys. A: Math. Theor. 43 (2010), 035101.

Harold Boas

  • H.P. Boas, Julius and Julia: Mastering the art of the Schwarz lemma, Amer. Math. Monthly 117 (2010), 770-785.

  • R.P. Boas, Invitation to Complex Analysis, 2nd, revised by H.P. Boas, Mathematical Association of America, 2010.

Andrea Bonito

  • A. Bonito, R.H. Nochetto and M.S. Pauletti, Geometrically consistent mesh modification, SIAM J. Numer. Anal. 48(5) (2010), 1878-1889.

  • A. Bonito and R.H. Nochetto, Quasi-optimal convergence rate of an interior penalty adaptive discontinuous Galerkin method, SIAM J. Numer. Anal. 48(2) (2010), 734-771.

  • S.W. Walker, A. Bonito and R.H. Nochetto, Mixed finite element method for electrowetting on dielectric with contact line pinning, Interfaces Free Bound. 12(1) (2010), 85-119.

  • A. Bonito, R.H. Nochetto and M.S. Pauletti, Parametric FEM for geometric biomembranes, J. Comput. Phys. 229 (2010), 3171-3188.

  • A. Bonito, R.H. Nochetto and Th. Mountford, Modeling viscoelastic flows using reflected stochastic differential equations, Commun. Math. Sci. 8(3) (2010), 655-670.

Lewis Bowen

  • L. Bowen, The ergodic theory of free group actions: Entropy and the f-invariant, Groups Geom. Dyn. 4 (2010), no. 3, 419-432.

  • L. Bowen, A new measure conjugacy invariant for actions of free groups, Ann. of Math. 171 (2010), no. 2, 1387-1400.

  • L. Bowen, Measure conjugacy invariants for actions of countable sofic groups, J. Amer. Math. Soc. 23 (2010), 217-245.

  • L. Bowen, Invariant measures on the space of horofunctions of a word hyperbolic group, Ergodic Theory Dynam. Systems 30 (2010), no. 1, 97-129.

Goong Chen

  • Z. Zhang, V. Ramakrishna and G. Chen, Quantum computing and devices: A short introduction, in Mathematical Horizons for Quantum Physics, H. Araki, B.-G. Englert, L.-C. Kwek, and J. Suzuki (eds.), Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Vol. 20, World Scientific, Singapore, 27-64, 2010.

  • G. Chen, David L. Russell and a survey of his mathematical work, Discrete Contin. Dyn. Syst. Ser. B 14 (2010), 1265-1277.

  • G. Chen, Z. Ding, C.-S. Lin, D. Herschbach, and M. Scully, Variational justification of the dimensional-scaling method in chemical physics: The H-atom, J. Math. Chem. 48 (2010), 791-811.

  • Z. Ding, G. Chen and C.-S. Lin, Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials, J. Math. Phys. 51 (2010), 123508 (19 pages).

  • Z. Ding and G. Chen, Analysis and algorithms for the computation of the excited states of helium, J. Comp. Appl. Math. online version doi:10.1016/j.cam.2010.10.004 (2010), hard copy to appear.

  • G. Chen and J. Zhou, Boundary Element Methods with Applications to Nonlinear Problems, (Atlantis Studies in Mathematics for Engineering and Science), 2nd ed., Atlantis, Paris, 2010.
    (This is a revised and an expanded edition of the book Boundary Element Methods published in 1994. Two new chapters have been added.)

  • G. Chen, P. Yao, J. Yong, B. Zhang, and Z. Xu, Guest Editors, Special Issue, Discrete Contin. Dyn Syst. Ser. B 14 (2010), (dedicated to Prof. D. L. Russell on the occasion of his 70th birthday).

Andrew Comech

  • A. Komech and A. Komech, Global attraction to solitary waves for nonlinear Dirac equation with mean field interaction, SIAM J. Math. Anal. 42 (2010), 2944-2964.

  • A. Comech and A. Komech, Global attractor for the Klein-Gordon field coupled to several nonlinear oscillators, J. de Mathématiques Pures et Appliquées 93 (2010), no 1, 91-111.

Prabir Daripa

Ronald DeVore

  • A. Cohen, R. DeVore and C. Schwab, Convergence rates of best N-term Galerkin approximations for a class of elliptic sPDEs, Found. Comput. Math. 10 (2010), no. 6, 615-646.

  • R. Devore and A. Ron, Approximation using scattered shifts of a multivariate function, Trans. Amer. Math. Soc. 362 (2010), no. 12, 6205-6229.

  • A. Cohen, W. Dahmen and R. DeVore, Instance optimal decoding by thresholding in compressed sensing. Harmonic analysis and partial differential equations, 1-28, Contemp. Math., 505, Amer. Math. Soc., Providence, RI, 2010

  • R. DeVore, I. Daubechies, M. Fornasier, and S. Gunturk, Iteratively reweighted least squares minimization for sparse recovery, Comm. Pure Appl. Math. 63 (2010), no. 1, 1-38.

Ronald Douglas

  • H. Bercovici, R.G. Douglas and C. Foias, Bi-isometries and commutant lifting, Characteristic functions, scattering functions and transfer functions, 51-76, Oper. Theory Adv. Appl., 197, Birkhäuser Verlag, Basel, 2010.

  • H. Bercovici, R.G. Douglas, C. Foias, and C. Pearcy, Confluent operator algebras and the closability property, J. Funct. Anal. 258 (2010), no. 12, 4122-4153.

  • R.G. Douglas and J. Kaminker, Spectral multiplicity and odd K-theory, Pure Appl. Math. Quart., Special Atiyah-Singer Volume, 6 (2010), no. 2, 307-329.

  • R.G. Douglas and P.W. Nowak, Hilbert C*-modules and amenable actions, Studia Math. 199 (2010), no. 2, 185-197.

  • R.G. Douglas and J. Sarkar, Some remarks on the Toeplitz Corona problem, Hilbert spaces of analytic functions, 81-89, CRM Proc. Lecture Notes, 51, Amer. Math. Soc., Providence, RI, 2010.

  • R.G. Douglas and J. Sarkar, A note on semi-Fredholm Hilbert modules, Operator Theory: Advances in Applications, Vol. 202, 143-150, 2010.

Kenneth J. Dykema

  • K. Dykema, B. Collins and Francisco Torres-Ayala, Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture, J. Stat. Phys. 139 (2010), 779-799.

  • K. Dykema and F. Fidaleo, Unique mixing of the shift on the C*-algebras generated by the q-canonical commutation relations, Houston Math. J. 36 (2010), 275-281.

  • H. Bercovici, B. Collins, K. Dykema, W.S. Li, and D. Timotin, Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor, J. Funct. Anal. 258 (2010), 1579-1627.

Yalchin Efendiev

  • Y. Efendiev and L. Truskinovsky, Thermalization of a driven bi-stable FPU chain, Contin. Mech. Thermodyn. 22 (2010), no. 6-8, 679-698.

  • J. Galvis and Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high contrast media: Reduced dimension coarse spaces, Multiscale Model. Simul. 8 (2010), no. 5, 1621-1644.

  • J. Galvis and Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high-contrast media, Multiscale Model. Simul. 8 (2010), no. 4, 1461-1483.

  • L. Jiang, Y. Efendiev and V. Ginting, Analysis of global multiscale finite element methods for wave equations with continuum spatial scales, Appl. Numer. Math. 60 (2010), no. 8, 862-876.

  • E.T. Chung and Y. Efendiev, Reduced-contrast approximations for high-contrast multiscale flow problems, Multiscale Model. Simul. 8 (2010), no. 4, 1128-1153.

  • J. Aarnes and Y. Efendiev, A multiscale method for modeling transport in porous media on unstructured corner-point grids, J. Algorithm Comput. Techno. 2-2 (2010), 299-318.

  • S. Akella, Y. Efendiev and A. Datta-Gupta, Ensemble Kalman filter with coarse-scale constraints, Internat. J. Uncertain. Quant. 1(1) (2010), 49-76.

  • Y. Efendiev, L. Jiang and I. Mishev, Mixed multiscale finite element methods using approximate global information based on partial upscaling, Comp. Geo. 14 (2010), 319-341.

  • A. Mondal, Y. Efendiev, B. Mallick, and A. Datta-Gupta, Bayesian uncertainty quantification for flows in heterogeneous porous media using reversible jump Markov chain Monte Carlo methods, Adv. Water Resources 33(3) (2010), 241-256.

Tamás Erdélyi

  • T. Erdélyi, Markov-Nikolskii type inequality for absolutely monotone polynomials of order k, J. d'Anal. Math. 112 (2010), no. 1, 369-381.

Ciprian Foias

  • C. Foias, R. Dascaliuc and M.S. Jolly, Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence, J. Diff. Eqn. 248 (2010), 792-819.

  • C. Foias, N. Balci and M.S. Jolly, 2-D turbulence for forcing in all scales, J. Math. Pures Appl. 94 (2010), 1-32.

  • C. Foias, C. Pearcy and Lidia Smith, Weak orbit-transitivity on Hilbert space, Acta Sci. Math. (Szeged) 76 (2010), 155-164.

  • C. Foias, R.M.S. Rosa and R. Temam, A note on statistical solutions of the three-dimensional Navier–Stokes equations: The time-dependent case, C.R. Acad. Sci. Paris, Ser I 348 (2010), 235-240. The stationary case, idem, 347-353.

  • C. Foias, N. Balci, M.S. Jolly, and R. Rosa, On universal relations in 2-D turbulence, Discrete Contin. Dyn. Syst. 27 (2010), 1327-1351.

  • C. Foias, R. Rosa and R. Temam, Topological properties of the weak global attractor of the three-dimensional Navier–Stokes attractor, Discrete Contin. Dyn. Syst. 27 (2010), 1611-1631.

  • C. Foias, H. Bercovici, R.G. Douglas, and C. Pearcy, Confluent operator algebras and the closability property, J. Funct. Anal. 258 (2010), 4122-4153.

  • C. Foias, B. Sz.-Nagy, H. Bercovici, and L. Kerchy. Harmonic Analysis of Operators on Hilbert Space (2nd Edition), Universitext Series, Springer, (2010), xiii+474 pp.

Stephen Fulling

  • S.A. Fulling, Vacuum energy density and pressure near boundaries, Internat. J. Mod. Phys. 25 (2010), 2364-2372; also printed in Proc. Ninth Conference on Quantum Field Theory under the Influence of External Conditions (QFEXT09) [reviewed], K.A. Milton and M. Bordag (eds.), World Scientific, Singapore, 2010, pp. 447-456.

Rostislav Grigorchuk

  • G. Baumslag, R. Grigorchuk and C.F. Miller, III, Remembering Wilhelm Magnus, Groups, Geom. Dyn. 4 (2010), no. 4, 605.

Jean-Luc Guermond

  • A. Giesecke, C. Nore, F. Plunian, F. Stefani, G. Gerberth, J. Leorat, F. Luddens, and J.-L. Guermond, Electromagnetic induction in non-uniform domains, Geophys. Astrophys. Fluid Dyn. 104:5-6 (2010), 505-529.

  • J.-L. Guermond and A. Salgado, A note on the Stokes operator and its powers, J. Appl. Math. Comput. (2010), online, DOI 10.1007/s12190-010-0400-0.

  • J.-L. Guermond and P. Minev, A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting, C. R. Acad. Sci. Paris, Ser. I 348M (2010), 581-585.

  • V. Dobrev, J.-L. Guermond and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM J. Sci. Comput. 32:3 (2010), 1591-1616.

  • A. Giesecke, C. Nore, F. Plunian, R. Laguerre, A. Ribero, F. Stefani, G. Gerberth, J. Leorat, and J.-L. Guermond, Generation of axi-symmetric modes in cylindrical kinematic mean-field dynamos of VKS type, Geophys. Astrophys. Fluid Dyn. 104:2-3 (2010), 249-271.

  • J.-L. Guermond and G. Kanschat, Asymptotic analysis of upwind DG approximation of the radiative transport equation in the diffusive limit, SIAM J. Numer. Anal. 48:1 (2010), 53-78.

William Johnson

  • W.B. Johnson and D. Dosev, Commutators on l, Bull. London Math. Soc. 42 (2010), 155-169.

  • W.B. Johnson and A. Naor, The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite, SODA 2009 Discrete Comput. Geom. 43 (2010), no. 3, 542-553.

Guido Kanschat

  • G. Kanschat and B. Rivière. A strongly conservative finite element method for the coupling of Stokes and Darcy flow, J. Comput. Phys. 229 (2010), 5933-5943.

  • J.-L. Guermond and G. Kanschat, Asymptotic analysis of upwind dg approximation of the radiative transport equation in the diffusive limit, SIAM J. Numer. Anal. 48(1) (2010), 53-78.

David Kerr

  • D. Kerr, H. Li and M. Pichot, Turbulence, representations, and trace-preserving actions, Proc. London Math. Soc. 100 (2010), 459-484.

  • J. Giol and D. Kerr, Subshifts and perforation, J. reine angew. Math. 639 (2010), 107-119.

Peter Kuchment

  • P. Exner and B. Winn, On the location of spectral edges in Z-periodic media, J. Phys. A: Math. Theor. 43 (2010), 474022.

  • P. Kuchment and L. Kunyansky, Synthetic focusing in ultrasound modulated tomography, Inverse Problems and Imaging 4 (2010), no. 4, 665-673.

  • P. Kuchment and L. Kunyansky, Mathematics of thermoacoustic and photoacoustic tomography, in Handbook of Mathematical Methods in Imaging, Chapter 19, Vol. 2, 1688 pp., Springer Verlag, 2010, pp. 817-866.

  • P. Kuchment and B. Ong, On guided electromagnetic waves in photonic crystal waveguides, in Operator Theory and its Applications: In Memory of V. B. Lidskii (1924-2008), Amer. Math. Soc. Transl., Vol. 231, AMS, Providence, RI, 2010, pp. 99-108.

Joseph Landsberg

  • J.M. Landsberg and C. Robles, Lines and osculating lines of hypersurfaces, J. Lond. Math. Soc. (2) 82 (2010), no. 3, 733-746.

  • J.M. Landsberg and O. Tommasi, On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines, Michigan Math. J. 59 (2010), no. 3, 573-588.

  • J.M. Landsberg, P versus NP and geometry, J. Symb. Comp. (2010), MEGA special issue.

  • J.M. Landsberg and Z. Teitler, On the ranks and border ranks of symmetric tensors, Found. Comput. Math. 10 (2010), no. 3, 339-366.

David Larson

  • D. Han and D. Larson, Unitary systems and Bessel generator multipliers, Chapter 7 in Wavelets and Multiscale Analysis, Springer, (2010), 129-148.

  • J. Giol, L. Kovalev, D. Larson, N. Nguyen, and J. Tener, Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames, Operators and Matrices, online version (2010), 17 pp.

Raytcho Lazarov

  • O.P. Iliev, R.D. Lazarov and J. Willems, Fast numerical upscaling of heat equation for fibrous materials, J. Comput. Visualization Sci. 13(6) (2010), 275-285.

  • O.P. Iliev, R.D. Lazarov and J. Willems, Discontinuous Galerkin subgrid finite element method for approximation of heterogeneous Brinkman's equations, Lecture Notes Comput. Sci. 5910 (2010), Springer-Verlag, pp. 14-25.

Riad Masri

  • R. Masri, Special values of class group L-functions for CM fields, Canadian J. Math. 62 (2010), 157-181.

  • A. Folsom and R. Masri, Equidistribution of Heegner points and the partition function, Math. Ann. 348 (2010), 289-317.

  • R. Masri, CM cycles and nonvanishing of class group L-functions, Math. Res. Lett. 17 (2010), 749-760.

Laura Matusevich

  • A. Dickenstein, L.F. Matusevich and E. Miller, Binomial D-modules, Duke Math. J. 151 (2010), 385-429.

  • A. Dickenstein, L.F. Matusevich, and E. Miller, Combinatorics of binomial primary decomposition, Math. Zeit. 264 (2010), 745-763.

Francis Narcowich

  • F.J. Narcowich, X. Sun, J.D. Ward, and Z. Wu, LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres, J. Approx. Theory 162 (2010), 1256-1278.

  • H.N. Mhaskar, F.J. Narcowich, J. Prestin, and J.D. Ward, Lp Bernstein estimates and approximation by spherical basis functions, Math. Comp. 79 (2010), 1647-1679.

  • T. Hangelbroek, F.J. Narcowich and J.D. Ward, Kernel approximation on manifolds I: Bounding the Lebesgue constant, SIAM J. Math. Anal. 42 (2010), 1732-1760.

Volodymyr Nekrashevych

  • V. Nekrashevych, Free subgroups in groups acting on rooted trees, Groups, Geometry, and Dynamics 4 (2010), no. 4, 847-862.

  • L. Bartholdi, V. Kaimanovich and V. Nekrashevych, On amenability of automata groups, Duke Math. J. 154 (2010), no 3, 575-598.

  • V. Nekrashevych, A group of non-uniform exponential growth locally isomorphic to IMG(z2+i), Trans. AMS 362 (2010), 389-398.

Dmitry Panchenko

  • D. Panchenko, On the Dovbysh-Sudakov representation result, Elect. Comm. Probab. 15 (2010), 330-338.

  • D. Panchenko, The Ghirlanda-Guerra identities for mixed p-spin models, C.R.A.S. 348 (2010), 189-192.

  • D. Panchenko, A connection between the Ghirlanda-Guerra identities and ultrametricity, Ann. Probab. 38 (2010), no. 1, 327-347.

Grigoris Paouris

  • D. Alsonso, J. Bastero, J. Bernues, and G. Paouris, High dimensional random sections of isotropic convex bodies, J. Math. Anal. Appl. 361 (2010), 431-439.

  • N. Dafnis and G. Paouris, Small ball probability estimates, ψ2-behavior and the hyperplane conjecture, J. Func. Anal. 258 (2010), 1933-1964.

Matthew Papanikolas

  • C.-Y. Chang, M.A. Papanikolas and J. Yu, Geometric Gamma values and zeta values in positive characteristic, Int. Math. Res. Not. 2010 (2010), 1432-1455.

  • C.-Y. Chang, M.A. Papanikolas, D.S. Thakur, and J. Yu, Algebraic independence of arithmetic gamma values and Carlitz zeta values, Adv. Math. 223 (2010), 1137-1154.

Joseph Pasciak

  • S. Kim and J.E. Pasciak, Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems, J. Math. Anal. Appl. 361 (2010), 420-430.

  • J.H. Bramble, J.E. Pasciak and D. Trenev, Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem, Math. Comp. 79 (2010), 2079-2101.

  • S. Kim and J.E. Pasciak, Analysis of a Cartesian PML approximation to acoustic scattering problems in R2, J. Math. Anal. Appl. 370 (2010), no. 1, 168-186.

Guergana Petrova

  • B. Bojanov and G. Petrova, Quadrature formula for computed tomography, J. Approx. Theory 162(10) (2010), 1788-1792.

  • Y. Tagamlitski, On some interpolation expansions of regular-monotone functions (translated by G. Petrova), East J. Approx. 16(1) (2010), 93-107.

Gilles Pisier

  • G. Pisier, Complex interpolation between Hilbert, Banach and operator spaces, Memoirs A.M.S. 208 (2010), no. 978, 78 pp.

Alexei Poltoratski

  • A. Poltoratski and N. Makarov, Beurling-Malliavin theory for Toeplitz kernels, Invent. Math. 180, Issue 3 (2010), 443-480.

  • A. Poltoratski and C. Remling, Approximation results for reflectionless Jacobi matrices, Int. Math. Res. Not. (2010).

  • A. Poltoratski and M. Mitkovski, Toeplitz kernels and Polya sequences, Adv. Math. 224 (2010), 1057-1070.

  • A. Poltoratski, B. Simon and M. Zinchenko, The Hilbert transform of a measure, J. d'Anal. Math. 111 (2010), no. 1, 247-265.

Bojan Popov

  • V. Dobrev, J.-L. Guermond and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM J. Sci. Comput. 32 (2010), Issue 3, 1591-1616.

  • K. Kopotun and B. Popov, Moduli of smoothness of splines and applications in constrained approximation, Jaén J. Approx. 2 (2010), no. 1, 77-89.

Coleen Robles

  • C. Robles and J.M. Landsberg, Lines on hypersurfaces, J. London Math. Soc. (2010), 14 pp., published electronically.

J. Maurice Rojas

  • M. Aveñdano, A. Ibrahim, J.M. Rojas and K. Rusek, Randomized NP-completeness for p-adic rational roots of sparse polynomials in one variable, Proc. ISSAC 2010 (Munchen, July 25-28, 2010), pp. 331-338, ACM Press, 2010.

Eric Rowell

  • E.C. Rowell and I. Tuba, Finite linear quotients of B3 of low dimension, J. Knot Theory Ramifications 19 (2010), no. 5, 587-600.

  • S.-M. Hong and E.C. Rowell, On the classification of the Grothendieck rings of non-self-dual modular categories, J. Algebra 324 (2010), 1000-1015.

  • E.C. Rowell, Braid representations from quantum groups of exceptional Lie type, Rev. Un. Mat. Argentina 51 (2010), no. 1, 165-175.

  • E.C. Rowell, Y. Zhang, Y.-S. Wu, and M.-L. Ge, Extraspecial two-groups, generalized Yang–Baxter equations and braiding quantum gates, Quantum Inf. Comput. 10 (2010), no. 7-8, 0685-0702.

Jane Schielack

  • J. Schielack and D. Chancellor, Mathematics in Focus, K-6: How to Help Students Understand Big Ideas and Make Critical Connections, Heinemann, 2010, 192 pp.

  • J. Schielack and C. Seeley, Contemporary curriculum issues: Transitions from elementary to middle school math, Teaching Children Mathematics, 16 (February 2010), no. 6, 358-362.

Thomas Schlumprecht

  • T. Schlumprecht, S. Dilworth, E. Odell, and A. Zsak, On the convergence of greedy algorithms for initial segments of the Haar basis, Math. Proc. Camb. Phil. Soc. 148 (2010), 519-529.

N. Sivakumar

  • N. Sivakumar, Branches, contours, and beyond: the rudiments of function theory, TAMU, 2005; latest version 2010.

Roger Smith

  • R.R. Smith and F. Pop, On the cohomology groups of certain von Neumann algebras with coefficients in K(H), Proceedings of the Timisoara 2008 Operator Theory Conference, pp. 125-133, The Theta Foundation, Bucharest, 2010.

  • R.R. Smith, J. Fang, S. White, and A. Wiggins, Groupoid normalizers of tensor products, J. Funct. Anal. 258 (2010), 20-49.

  • R.R. Smith and F. Pop, Vanishing of second cohomology for tensor products of type II1 von Neumann algebras, J. Funct. Anal. 258 (2010), 2695-2707.

  • R.R. Smith, E. Christensen, A.M. Sinclair, S. White, and W. Winter, The spatial isomorphism problem for close separable nuclear C* algebras, Proc. Natl. Acad. Sci. USA, 107 (2010), 587-591.

  • R.R. Smith, E. Christensen, A.M. Sinclair, and S. White, Perturbations of C* algebraic invariants, Geom. Funct. Anal. 20 (2010), 368-397.

Frank Sottile

  • F. Sottile, Frontiers of reality in Schubert calculus, Bull. AMS 47 (2010), no. 1, 31-71.

  • F. Sottile, General isotropic flags are general (for Grassmannian Schubert calculus), J. Algebraic Geom. 19 (2010), 367-370.

  • G. Craciun, L. Garcia and F. Sottile. Some geometrical aspects of control points for toric patches, Proc. Mathematical Aspects of Curves and Surfaces, Lecture Notes in Computer Science 5862, Springer, 111-135.

  • C. Hillar, L. García-Puente, A.M. del Campo-Sanchez, J. Ruffo, Z. Teitler, S.L. Johnson, and F. Sottile, Experimentation at the frontiers of reality in Schubert calculus, New trends in Experimental Mathematics, Contemporary Mathmematics, 317, Amer. Math. Soc., Providence, RI, 2010, pp. 365-380.

  • T. Lam, A. Lauve and F. Sottile, Skew Littlewood-Richardson rule from Hopf algebras, International Mathematics Research Notes doi:10.1093/imrn/rnq104, Published June 2, 2010.

  • S. Forcey, A. Lauve and F. Sottile, Hopf structures on the multiplihedra, SIAM J. Discrete Math., DOI: 10.1137/090776834.

  • F. Sottile, Real Solutions to Equations from Geometry, American Mathematical Society University Lectures Series, December 2010, 176 pp.

Peter F. Stiller

  • P.F. Stiller, Object/image relations in full and weak perspective and 3D reconstruction, Mathematics of Data/Image coding, Compression, and Encryption with Applications XII, Proceedings of SPIE, Vol. 7799, San Diego, CA, August 2010, 10 pp.

Emil Straube

  • E. Straube, Lectures on the L2-Sobolev Theory of the d-bar-Neumann Problem, ESI Lectures in Mathematics and Physics, European Math. Society, 2010, 210 pp.

  • E. Straube, P. Ebenfelt, N. Hungerbühler, J. Kohn, and N. Mok (eds.) Complex Analysis: Several Complex Variables and Connections with PDEs and Geometry (Fribourg 2008), Trends in Mathematics, Birkhäuser-Verlag, May 4, 2010, 360 pp.

Zoran Sunik

  • S. Markovski, Z. Sunic and D. Gligoroski, Polynomial functions on the units of Zn2, Quasigroups Related Syst. 18 (2010) no.1, 59-82.

Yaroslav Vorobets

  • M. Vorobets and Y. Vorobets, On a series of finite automata defining free transformation groups, Groups, Geometric Dynamics 4 (2010), no. 2, 377-405.

  • T. Banakh, O. Verbitsky and Y. Vorobets, Fermat's spiral and the line between Yin and Yang, Amer. Math. Monthly 117 (2010), no. 9, 786-800.

  • Y. Vorobets, On a substitution subshift related to the Grigorchuk group. Proc. Steklov Inst. Math. 271 (2010), 306-321.

Jay Walton

  • A.I. Ibragimov, C.J. McNeal, L.R. Ritter, and J.R. Walton, Stability analysis of a model of atherogenesis: An energy estimate approach. II, J. Comp. Math. Meth. Med. 11(1) (2010), 67-88. Electronic version DOI: 10.1080/1748970080202713430.

  • T. Sendova and J.R. Walton, A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale, Math. Mech. Solids 15 (2010), 368-413. Electronic version DOI: 10.1177/1081286510362457.

  • T.L. Leise, J.R. Walton and Y. Gorb, A boundary integral method for a dynamic transient mode I crack problem with viscoelastic cohesive zone, Int. J. Frac. 162 (2010), nos. 1-2, 69-76. Electronic Version DOI: 10.1007/s10704-009-9385-9, 2009.

  • A.I. Ibragmov, L.R. Ritter and J.R. Walton, Stability analysis of a reaction-diffusion system modeling atherogenesis, SIAM J. Appl. Math. 70(7) (2010), 2150-2185. Electronic version: DOI: 10.1137/08073490X.

  • T. Sendova and J.R. Walton, A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale, Math. Mech. Solids 15(3) (2010), 368-413.

  • Y. Gorb and J.R. Walton, Dependence of the frequency spectrum of small amplitude vibrations superimposed on finite deformations of a nonlinear, cylindrical elastic body on residual stress, Int. J. Eng. Sci. 48 (2010), 1289-1312.

  • T. Sendova and J.R. Walton, The effect of surface tension in modeling interfacial fracture, AIP Conf. Proc. 1301 (2010), 291-300.

Joseph Ward

  • T. Hangelbroek, F.J. Narcowich and J.D. Ward, Kernel interpolation on manifolds I: Bounded Lebesgue constants, SIAM Math. Anal. 42 (2010), 1732-1760.

  • H.N. Mhaskar, F.J. Narcowich, J. Prestin, and J.D. Ward, Lp Bernstein estimates and approximation by spherical basis functions, Math. Comput. 79 (2010), 1647-1679.

  • F.J. Narcowich, X. Sun, J.D. Ward, and Z. Wu, LeVeque type inequalities and discrepancy estimates for minimal energy configuartions on spheres, J. Approx. Theory 162 (2010), 1256-1278.

Sarah Witherspoon

  • M. Mastnak, J. Pevtsova, P. Schauenburg, and S. Witherspoon, Cohomology of finite dimensional pointed Hopf algebras, Proc. London Math. Soc. (3) 100 (2010), no. 2, 377-404.

  • G. Benkart, M. Pereira and S. Witherspoon, Yetter-Drinfeld modules under cocycle twists, J. Algebra 324 (2010), no. 11, 2990-3006.

  • J. Feldvoss and S. Witherspoon, Support varieties and representation type of small quantum groups, Int. Math. Res. Not. (2010), no. 7, 1346-1362.

Catherine Yan

  • W.Y.C. Chen, S. Poznanovikj, C.H. Yan, and A. Yang, Major index for Moom polyominoes, J. Combin. Theory, Series A. 117 (2010), 1058-1081.

  • W.Y.C. Chen, A. Wang, C.H. Yan, and A. Zhao, Mixed statistics on 01-fillings of moon polyominoes, SIAM J. Discrete Math. 24 (2010), 1272-1290.

  • W.Y.C. Chen, A. Wang, C.H. Yan, and A. Zhao, Mixed statistics on 01-fillings of moon polyominoes (extended abstract), Discrete Math. Theor. Comput. Sci. (2010), 481-492.

Philip B. Yasskin

  • P. Yasskin and A. Belmonte, CalcLabs with Maple, Multivariable Calculus, 4th Edition, Brooks/Cole, Cengage Learning, Belmont, CA, 2010. The book was revised for Maple 12.

  • P. Yasskin, M. Rahe, D. Barrow, A. Belmonte, A. Boggess, J. Morgan, R. Smith, and M. Stecher, CalcLabs with Maple, Single Variable Calculus, 4th Edition, Brooks/Cole, Cengage Learning, Belmont, CA, 2010. The book was revised for Maple 12.

Matthew Young

  • M.P. Young, A short proof of Levinson's Theorem, Arch. Math. 95 (2010) 539-548.

  • M.P. Young, Moments of the critical values of families of elliptic curves, with applications, Canad. J. Math. 62 (2010), no. 5, 1155-1181.

  • K. Soundararajan and M.P. Young, The second moment of quadratic twists of modular L-functions, J. Eur. Math. Soc. (JEMS) 12 (2010), no. 5, 1097-1116.

  • C.P. Hughes and M.P. Young, The twisted fourth moment of the Riemann zeta function, J. Reine Angew. Math. 641 (2010), 203-236.

  • S. Baier and M.P. Young, Mean values with cubic characters, J. Number Theory 130 (2010), no. 4, 879-903.

Jianxin Zhou

  • G. Chen and J. Zhou, Boundary Element Methods with Applications to Nonlinear Problems, Atlantis Press, Ansterdam-Paris, 2010, 713 pp.

  • X. Chen and J. Zhou, A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems, Math. Comp. 79 (2010), 2213-2236.


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