Case Western Reserve University DEPARTMENT OF MATHEMATICS
 PUBLICATIONS and REPORTS Publication Years 2005 — 2009     2009   D. Calvetti: Book review: Matrix methods in data mining and pattern recognition by Lars Elden, SIAM, 2007       in Math. Comp. 78 (2009), 1867-1868 J. Heino, D. Calvetti and E. Somersalo: Metabolica: A statistical research tool for analyzing metabolic networks.Comput. Meth.Progr. Biomed. 97 (2009), pp. 151-167 R. Occhipinti, E. Somersalo and D. Calvetti: Astrocytes as the Glucose Shunt for Glutamatergic Neurons at High Activity: An In Silico Study, J. Neurophysiol 101 (2009), pp. 2528-2538 D. Calvetti, H. Hakula, S. Pursiainen and E. Somersalo: Conditionally Gaussian hypermodels for cerebral source localization. SIAM J. Imaging Sci. 2 (2009), pp. 879-909 R. Occhipinti, E. Somersalo and D. Calvetti: Interpretation of NMR spectroscopy human brain data with multicompartment computational model of cerebral metabolism, to appear in Proceedings of the 37th Annual Meeting of The International Society on Oxygen Transport to Tissue (ISOTT'09) D. Calvetti and E. Somersalo: Subjective knowledge or objective belief? An oblique view to Bayesian computing. Proceedings of Sandia CSRI Workshop on Large-Scale Inverse Problems and Quantification of Uncertainty. Wiley & Sons (to appear: 40 pages) (2009). Book chapter D. Calvetti and E. Somersalo: Statistical methods in imaging. In: O. Scherzer (Ed.): Handbook of Mathematical Methods in Imaging, Springer Verlag (to appear: 50 pages) (2009). Book chapter W. Guo, F. Huang: "Adaptive Total Variation Based Filtering for MRI Images with Spatially Inhomogeneous Noise and Artifacts", ISBI, p101-104 (2009). C. Li, Q. Hao, W. Guo, F. Hu: "A Hybrid Approach for Compressive Neural Activity Detection with Functional MR Images", Proceedings of IEEE Engineering in Medicine and Biology Society,  p4787-4790 (2009). K. W. Chow, L. P. Yip and D. Gurarie: Two exact solutions of the Tzitzeica - Bullough - Dodd equation, International Journal of Nonlinear Science and Numerical Simulations, 2009, Vol. 10, 7, 935-943 D. Gurarie: Evolution of malaria virulence in serial passage experiments, Journal of the Royal Society Interface, 2009 (UR) D. Gurarie and S. Karl: In-host Dynamics of Malaria with Innate and Adaptive Immunity: Model Calibration for Agent Based Communities, Epidemics, 2009 (UR) P. Kotelelenz:  Stochastic Partial Differential Equations for Flows of Particle Systems. Lecture Notes, University of Bielefeld.(2009) P. Kotelelenz, M. Leitman and Adin J. Mann Jr.: Correlated Brownian Motions and the Depletion Effect in  Colloids. “J. STAT. Mech.'' P01054.(2009) J. Langer and D. Singer,  "Reflections on the lemniscate of Bernoulli:  The forty eight faces of a mathematical gem",  Milan J. Math (to appear). J. Langer and D. Singer,  "When is a curve an octahedron?",  Amer. Math. Monthly (to appear). M. Leitman and P. Villagio: The Plastic Zone around Circular Holes J. Eng.Mech. 135, 12, pp.1467-1471, (2009) E. Meckes: On Stein's method for multivariate normal approximation  In High Dimensional Probability V: The Luminy Volume.           (2009) E. Meckes: Quantitative asymptotics of graphical projection pursuit”  Electron. Comm. Probab. 14 (2009). E. Meckes: “Two multivariate central limit theorems”  preprint (one of the two was improved and incorporated into "On Stein's method for multivariate normal approximation" above). E. Meckes: On the approximate normality of eigenfunctions of the Laplacian  Trans. Amer. Math. Soc. 361, no. 10 (2009). M. Meckes: Gaussian marginals of convex bodies with symmetries. Beiträge Algebra Geom.  50 (2009) no. 1, pp. 101-118 M. Meckes: Some results on random circulant matrices. High Dimensional Probability V: The Luminy Volume, pp. 213-223, IMS Collections 5, 2009. S. Szarek and N. Tomczak-Jaegermann: On the nontrivial projection problem. Advances in Math. 221 (2009), 331-342. Arxiv.org eprint 17 p. http://arxiv.org/abs/0805.3792  (preliminary version was listed as a preprint under 2008) J.T. Da Re, D. P. Kouri, P. A. Zimmerman, P. J. Thomas: “Differentiating Plasmodium falciparum Alleles by Transforming Cartesian X,Y Data to Polar Coordinates”, BMC Genetics, in press. K. M. Stiefel, J. M.  Fellous, P. J. Thomas and T. J. Sejnowski: “Intrinsic Sub-threshold Oscillations Extend the Influence of Inhibitory Synaptic Inputs on Cortical Pyramidal Neurons.” European Journal of Neuroscience 31(6):1019-26, March 2010. (Epub Mar 8, 2010). A.J. Lerner, P.K. Ogrocki, P.J. Thomas: “A Network Graph Analysis of Category Fluency Testing”, Cognitive and Behavioral Neurology, 22(1):45-52, March 2009. C. Turc, O. Bruno and J. Ovall: A high-order algorithm for singular solutions of boundary integral equations in Lipschitz          domains, Computing, (84) 2009, 149-181. C. Turc, O. Bruno, T. Elling and R. Paffenroth, Electromagnetic integral equations requiring small numbers of Krylov-        subspace iterations, Journal of Computational Physics, 228 (17) 2009, 6169-6183 E. Werner and M.B. Ruskai: Bipartite states of low rank are almost surely entangled: Phys. A: Math. Theor. 42 (2009) 095303 E. Werner and A. Stancu: New Higher-Order Equiaffine Invariants; Israel J. of Math. 171 (2009), 221-235 D. Ye: On the Bures volume of separable quantum states. Journal of Mathematical Physics (to appear).  (2009)   2008 R. Occhipinti, E. Somersalo, D. Calvetti: Astrocytes as the glucose shunt for glutamatergic neurons at high activity: an in silico study, J Neurophysiol (to appear)  (2008) link: http://jn.physiology.org/papbyrecent.shtml P. Hiltanen, D. Calvetti, E. Somersalo: An adaptive smoothness regularization algorithm for optical tomography, Optics Express, (to appear). (2008) D. Calvetti, A. Kuceyeski and E. Somersalo: Bayesian flux balance analysis for a spatially distributed model of live metabolism, Multiscale Modeling Simul. 7(2008): 407-431. D. Calvetti, R. Hageman, R. Occhipinti, E. Somersalo: Dynamic Bayesian sensitivity analysis of a myocardial metabolic model, Math. Biosci. 212(2008): 1-21. D. Calvetti, J. Heino and E. Somersalo: Computational modeling of cellular level metabolism Proc. of the Applied Inverse Problems 2007: Theoretical and Computational Aspects. J. of Physics: Conference Series 124 (2008) 012011. D. Calvetti, A. Kuceyeski and E. Somersalo: A mathematical model of liver metabolism: from steady state to dynamic. Proc. of the Applied Inverse Problems 2007: Theoretical and Computational Aspects. J. of Physics: Conference Series 124 (2008) 012012 D. Calvetti, R. Occhipinti and E. Somersalo: The inverse problem of brain energetics: ketone bodies as alternative substrates. Proc. of the Applied Inverse Problems 2007: Theoreticaland Computational Aspects. J. of Physics Conference Series 124 (2008) 012013. D. Calvetti and E. Somersalo: Inverse problems and computational cell metabolic models: a statistical approach. Proc. of the Applied Inverse Problems 2007: Theoretical and Computational Aspects. J. of Physics: Conference Series 124 (2008) 012003. D. Calvetti and E. Somersalo: Recovery of shapes: hypermodels and Bayesian learning. Proc. of the Applied Inverse Problems 2007: Theoretical and Computational Aspects. J. of Physics: Conference Series 124 (2008) 012014. P.J. Hahn , C.C. McIntyre:  “Modeling shifts in the rate and pattern of subthalamopallidal network activity during deep brain stimulation.” Submitted.(2008) P.J. Hahn, G.S. Russo, T. Hashimoto,  S. Miocinovic, W. Xu, C.C. McIntyre, J.L.  Vitek: “Pallidal burst activity during therapeutic deep brain stimulation.” Expt. Neur. 211:243-251.(2008) S. Izen: An Analysis of the Fan Beam CT Reconstruction Kernel, Sampling Theory in Signal and Image Processing 7, 2008,     pp. 229--261. P. Kotelenez,  A Quasi-Linear Stochastic Fokker-Planck Equation in ¾-¯nite measures ( invited paper for special volume of "Stochastics and Dynamics" in honor of Ludwig Arnold - to appear)(2008) P. Kotelenez, It^o and Stratonovich Stochastic Partial Differential Equations - Transition from Microscopic to Macroscopic Equations. "Quarterlyof Applied Mathematics" (to appear) (2008)  P. Kotelenez, M. Leitman and J. Mann Jr. Correlated Brownian Motions and the Depletion Effect in Colloids. (JSTAT - to appear).(2008) E. Meckes: On the approximate normality of eigenfunctions of the Laplacian -- Trans. Amer. Math. Soc. (2008) E. Meckes and S. Chatterjee:  Multivariate normal approximation using exchangeable pairs  ALEA. (2008) E. Meckes:  Linear functions on the classical matrix groups -- Trans. Amer. Math. Soc. 360, no. 10 (2008). D. Singer, Michiel E. Hochstenbach and Paul F. Zachlin  Eigenvalue inclusion regions from inverses of shifted matrices,  Linear Algebra and its Applications (2008), to appear. D. Calvetti and E. Somersalo: Hypermodels in the Bayesian imaging framework. Inverse Problems 24 (2008) 034013. S. Szarek and N. Tomczak-Jaegermann: On the nontrivial projection problem. Arxiv.org eprint 17 p. S. Szarek, E. Werner and K. Zyczkowski Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive. J. Math. Phys. 49, 032113 (2008) Arxiv.org eprint 34 p. E. Miraldi, P.J. Thomas, L. Romberg, “Allosteric Models for Cooperative Polymerization of Linear Polymers", Biophysical Journal, in press. C. Turc and Fernando Reitich:  High-order numerical solutions in frequency-independent computational times for scattering applications associated with surfaces with composite roughness, 2008, to appear in Waves in Random and Complex Media. E. Werner and D. Ye:  New $L_p$ Affine Isoperimetric Inequalities,  Advances in Mathematics, 218 (2008), pp. 762-780   2007 J. Alexander  L. Kang, X. Chen, B. Sebastian, B. Pratt, I. Bederman, S. Previs and  L. Nagy: Chronic ethanol and triglyceride turnover in white adipose tissue in rats: inhibition of the anti-lipolytic action of insulin after chronic ethanol contributes to increased triglyceride degradation  J Biol Chem.  282(39) (2007), 28465-73. J. Alexander,  J. Wintersmith, L Zou, A. Bernoff, J. Mann Jr., E. Kooijman and  E. Mann: Determination of interphase line tension in Langmuir films, (Phys. Rev. E, 75(6), (2007) J. Alexander,  A. Bernoff, E. Mann, J. Mann, Jr., J. Wintersmith, and  L. Zou: Domain relaxation in Langmuir layers, J. Fluid Mech, 571 (2007), 191-219. D. Bertaccini and  D. Calvetti: Fast simulation of solid tumors thermal ablation treatments with a 3D reaction diffusion model, J. Comp. Biol. Med., 37 (2007): 1173-1182 D. Calvetti, E. Somersalo: Microlocal sequential regularization in imaging, Inverse Problems and Imaging, 1 (2007): 1-11. J. Heino, K. Tunyan, D. Calvetti and  E. Somersalo: Bayesian flux balance analysis applied to a skeletal muscle metabolic model, J. Theoret. Biol., 248 (2007): 91-110. R. Occhipinti, M. Puchowicz, J. LaManna, E. Somersalo and  D. Calvetti: Statistical analysis of metabolic pathways of brain metabolism at steady state, Ann. Biomed. Eng., 6 (2007): 886-902. D. Calvetti: Preconditioned iterative methods for ill-conditioned linear systems from a Bayesian inversion perspective, J. Comput. Appl. Math., 198 (2007):378-395. D. Calvetti and E. Somersalo: A unified Bayesian framework for algorithms to recover blocky signals. Advanced Signal Processing Algorithms, Architectures and Implementations XVII, edited by Franklin T. Luk, Proc. of SPIE Vol. 6697 (SPIE 2007), paper no. 6697-4 10 pages. D. Gurarie, F.E. McKenzie: A stochastic model of immune-modulated malaria infection and disease in children, Math BioSciences, 210,  2, 2007, 576-597 D. Gurarie: Evolution of malaria virulence in cross-generation transmission through selective immune pressure, Nature Proceedings, 2007 (npre.2007.194.1) S. Izen: Refined Estimates on the Growth Rate of Jacobi Polynomials, J. Approx. Theory 144, 2007, pp. 54--66. S. Izen: A fast algorithm to compute the  $\pi$-line through points inside a helix  cylinder  Proc. AMS 135, 2007, pp. 269--276. P. Kotelenez: (2007), Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations,Springer-Verlag (December 2007). P. Kotelenez, M. Leitman and J. Mann, Jr. (2007), Clustering in Colloids. International Conference on Engineering and Mathematics (EnMa),ISBN 978-84-95809-29-2 Bilbao, Spain, 243-250. J. Langer and D. Singer :  Foci and Foliations of Algebraic Curves,  Milan. Journal of Mathematics 75 (2007), 225--271. J. Langer and A. Calini Schwarz reflection geometry, Part II: local and global behavior of the exponential map, Exp. Math., 16 (2007), No. 3, pp. 321–346. J. Langer: Rational diffeomorphisms of the circle, Applied Mathematics Letters, 20, (2007), No. 8, pp. 876-879. E. Meckes and M. Meckes: The central limit problem for random vectors with symmetries -- J. Theoret. Probab. 20, no. 4 (2007). M. Meckes: On the spectral norm of a random Toeplitz matrix. Electron. Commun. Probab. 12 (2007), 315-325. Published version / Preprint M. Meckes: Some remarks on transportation cost and related inequalities. Geometric Aspects of Functional Analysis, 237-244, Lecture Notes in Math. 1910, Springer, Berlin, 2007. Published version / Preprint D. Calvetti and E. Somersalo: Introduction to Bayesian Scientific Computing – Ten Lectures on Subjective Computing. Springer Verlag, 2007 J. P. Kaipio and E. Somersalo: Statistical inverse problems: discretization, model reduction and inverse crimes. J. Comp. Appl. Math. 198 (2007) 493–504. A. Seppänen, L. Heikkinen, T. Savolainen, A. Voutilainen, E. Somersalo and J. P. Kaipio: An experimental evaluation of state estimation with fluid dynamical models in process tomography. Chem. Eng. Journal 127 (2007) 23–30. R. K. Dash, E. Somersalo, M. E. Cabrera and D. Calvetti: An efficient deconvolution algorithm for estimating oxygen consumption during muscle activities. Comput. Meth. Prog. Biomed. 85 (2007) 247–256. D. Calvetti, J. Heino, E. Somersalo and K. Tunyan: Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Inverse Problems and Imaging 1 (2007), 247-263. D. Calvetti and E. Somersalo: Gaussian hypermodels and recovery of blocky objects. Inverse Problems 23 (2007) 733–754. S. Szarek and N. Tomczak-Jaegermann:  Decoupling weakly dependent events. In "Geometric Aspects of Functional Analysis, Israel Seminar 2004-2005", V. D. Milman and G. Schechtman eds., Lecture Notes in Math. 1910, Springer Verlag, Berlin 2007, 297-303. Preprint in PDF format, 8 p. P.B. Kruskal, J.J. Stanis, B.L. McNaughton, P.J. Thomas, “A binless correlation measure reduces the variability of memory reactivation estimates", Statistics in Medicine, 26 (21): 3997-4008, (2007). (Epub June 26, 2007). J.M. Kimmel, R. M. Salter, P.J. Thomas, “An Information Theoretic Framework for Eukaryotic Gradient Sensing", Advances in Neural Information Processing Systems 19, MIT Press, pp 705-712, 2007. E. Werner:  On L_p affine surface areas, Indiana Univ. Math. J. 56, no.5 (2007), 2305-2324   2006 J. Alexander, I. Bederman, D. Dufner and S. Previs: Novel application of the "doubly-labeled" water method: measuring CO2 production and the tissue-specific dynamics of lipid and protein in vivo, Am. J. Physiol. Endocrin. Metab. 290 (2006), E1048-E1056. J. Alexander, A.Bernoff, E. Mann, J. Mann, Jr. and L. Zou: Hole dynamics of polymer Langmuir films , Physics of Fluids, 18(6), 062103 (2006). J. Alexander and G. Auchmuty: Finite-energy solutions of mixed 3d div-curl systems Quart. Appl. Math. 64(2) (2006), 335-357. J. Alexander: Closed geodesics on certain surfaces of revolution, J. of Geom. and Symm. in Physics 8 (2006), 1-16. D. Calvetti, R.K. Dash, E. Somersalo and   M.E. Cabrera: Local regularization method applied to estimating oxygen consumption during muscle activities, Inverse Problems, 22 (2006): 229--244. D. Calvetti, F. Sgallari, E. Somersalo: Statistical image inpainting and bootstrap prior, Image and Vision Computing, 24 (2006): 782-793. D. Calvetti, R. Hageman and E. Somersalo: Large-scale Bayesian parameter estimation for a three-compartment cardiac model during ischemia, Inverse Problems, 22 (2006): 1797-1861. S. Miocinovic, M. Parent, C.R. Butson , P.J. Hahn, G.S. Russo, J.L. Vitek and C.C. McIntyre: “Computational analysis of the activation of the subthalamic nucleus and lenticular fasciculus during therapeutic deep brain stimulation.” J. Neurophysiol. 96:1569-1580.(2006) D. Gurarie, P.A. Zimmerman, C.H. King: Dynamic regulation of single- and mixed-species malaria infection: insights to specific and non-specific mechanisms of control, J. Theor. Biol. 240 (2006) 185-199. D. Gurarie, F.E. McKenzie: Dynamics of immune response and drug resistance in malaria infection, Malaria J., 5: 86 (2006) D. Singer:  The location of critical points of Finite blaschke products, Conform. Geom. Dyn. 10 (2006), 117-124. D. Calvetti, J. P. Kaipio and E. Somersalo: Aristotelian prior boundary conditions. Int. J. Math. Comp. Sci. 1 (2006) 63–81. S. R. Arridge, J. P. Kaipio, V. Kolehmainen, M. Schweiger, E. Somersalo, T. Tarvainen and M. Vauhkonen: Approximation errors and model reduction with an application in optical diffusion tomography. Inverse Problems 22 (2006) 175–195. Y. V. Kurylev, M. Lassas and E. Somersalo: Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. J. Math. Pures Appliquées 86 (2006) 237–270. A. R. Ruuskanen, A. Seppänen, S. R. Duncan, E. Somersalo and J. P. Kaipio: Using process tomographyas a sensor for optimal control. Appl. Num. Math. 56 (2006) 37–54. D. Calvetti and E. Somersalo: Large scale statistical parameter estimation in complex systems with an application to metabolic models. Multiscale Modelling and Simulation 5 (2006) 1333-1366. S. Szarek: Convexity, Complexity, and High Dimensions. In "Proceedings of the International Congress of Mathematicians (Madrid, 2006)," Vol. II. European Math. Soc. 2006, 1599--1621. Available online from icm2006.org S. Szarek: Still more on norms of completely positive maps. Arxiv.org eprint 2 p. S. Szarek, I. Bengtsson and K. Zyczkowski:  On the structure of the body of states with positive partial transpose. J. Phys. A: Math. Gen. 39 (2006) L119-L126. Arxiv.org eprint 10 p. S. Szarek and G. Aubrun: Tensor products of convex sets and the volume of separable states on N qudits. Phys. Rev. A. 73, 022109 (2006). Arxiv.org eprint 14 p. P.J.Thomas, J.D. Cowan, “Simultaneous constraints on pre- and post-synaptic cells couple cortical feature maps in a 2D geometric model of orientation preference", Mathematical Medicine and Biology, 23 (2):119-138, (2006). (Epub April 20, 2006.) E. Werner, Y. Gordon, A. Litvak and  C. Schütt: On the minimum of several random variables, Proc. Amer. Math. Soc. 134 (2006), no. 12, 3665-3675 E. Werner: Floating bodies and Illumination bodies, Integral Geometry and Convexity, Proc. Conf. Wuhan, E. Grinberg, S. Li, G. Zhang, J. Zhou editors, World Scientific Pub. (2006) E. Werner, M. Ludwig,and  C. Schütt: Approximation of the Euclidean ball by a polytope , Studia Math. 173 (2006), 1-18   2005 J. Alexander and G. Auchmuty: L2 well-posedness of 3-d div-curl boundary-value problems,  Quart. Appl. Math., 63(3) (2005), 479-508. J. Alexander: Splashing a wall with a garden hose, College Math. J. 36(2) (2005), 149-152. Chvetsov, D. Calvetti, J. Sohn and T. Kinsella: Regularization of inverse planning for intensity modulated radiotherapy, J. of Medical Physics, 32 (2005), pp. 501-514. D. Calvetti, S.-M. Kim, L. Reichel: Quadrature rules based on the Arnoldi process, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 765-781. D. Calvetti, J. Kaipio, E. Somersalo: Aristotelian prior boundary conditions, Intl. J. Math. Comp. Sci., 1 (2005), pp. 63{81. D. Calvetti, L. Reichel, A. Shuibi: Invertible smoothing preconditioners for linear discrete ill-posed problems, Appl. Numer. Math., 54 (2005), pp. 135-149. D. Gurarie, C. King: Heterogeneous model of schistosomiasis transmission and long-term control: the combined influence of spatial variation and age-dependent factors on optimal allocation of drug therapy, Parasitology (2005), 130, 1–17. P. Kotelenez: From Discrete Deterministic Dynamics to Stochastic Kinematics - A Derivation of Brownian Motions. Stochastics and Dynamics, Vol 5, Number 3, 343-384.(2005a) P. Kotelenez: Correlated Brownian Motions as an Approximation to Deterministic Mean-Field Dynamics. Ukrainian Math.J., T 57, 6, 757-769.(2005b) P. Kotelenez, M. Leitman, and J. Mann, Jr.:  Mesoscopic Modeling of Depletion Forces. AIP Conference Proceedings, Vol. 800, FourthInternational Conference on Unsolved Problems of Noise and Fluctuations in 1 Physics, Biology and High Technology 2005, Melville, New York, 455-459 (refereed paper).(2005), E. Meckes, S. Chatterjee and P. Diaconis:  Exchangeable pairs and Poisson approximation -- Probab. Surv. 2 (2005). M. Meckes: Sylvester's problem for symmetric convex bodies and related problems. Monatsh. Math. 145 (2005) no. 4, 307-319. Note: The published version contains several references to the literature which are missing in the preprint, and has improved proofs of Propositions 13 and 16. Published version / Preprint J. Heino, E. Somersalo and J. Kaipio: Statistical compensation of geometric mismodeling in optical tomography. Optics Express 13 (2005) 296–308. J. Heiskala, I. Nissilä, T. Neuvonen, S. Järvenpää and E. Somersalo: Modelling anisotropic light propagation in a realistic model of a human head. Appl. Optics 44 (2005) 2049–2057. D. Calvetti and E. Somersalo: Prior conditioners for linear systems. Inverse Problems 21 (2005) 1397–1418. O. Tanzer, S. Järvenpää, J. Nenonen and E. Somersalo: Representation of bioelectric current sources using Whitney elements in finite element method. Phys. Med. Biol. 50 (2005) 3023–3039. D. Calvetti and E. Somersalo: Statistical compensation of boundary clutter in image deblurring. Inverse Problems 21 (2005) 1697–1714. J. P. Kaipio, S. Duncan, A. Seppänen, E. Somersalo and A. Voutilainen: State estimation, in: D. Scott and H. McCann (editors): Handbook of Process Imaging for Automatic Control, CRC Press, 2005, 207–235. S. Szarek:  The volume of separable states is super-doubly-exponentially small in the number of qubits. Phys. Rev. A 72, 032304 (2005). Arxiv.org eprint 20 p. S. Szarek and N. Tomczak-Jaegermann:  Saturating Constructions for Normed Spaces II. J. Funct. Anal. 221 (2005), no. 2, 407-438. Preprint in PDF format, 35 p. C. Turc and Fernando Reitich:  High-order-high-frequency solvers for rough-surface acoustic and electromagnetic scattering problems,Proceedings of Waves 2005, Providence, RI, 2005. C. Turc and Fernando Reitich: High order solutions of three dimensional rough surface scattering problems at high-frequencies.  II: The vector-electromagnetic case, Waves in Random and Complex Media, (15) 2005,323–337. C. Turc and Fernando Reitich:  High-order solutions of three dimensional rough surface scattering problems at high-frequencies.  I: The scalar case,  Waves in Random and Complex Media, (15) 2005, 1–16. E. Werner, Y. Gordon, A. Litvak and C. Schütt: Minima of sequences of Gaussian random variables , C.R.Acad.Sci.Paris, Ser.I 340 (2005), 445-448.