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2000 – 2004

2004

J. Alexander, S. Previs, R. Fatica, V. Chandramouli, H. Brunengraber and B. Landau: Quantitation of rates of protein synthesis in humans using deuterated water: measurements in chronically dialyzed patients with end stage renal disease, Am. J. Physiol. Endocrin. Metab.286 (April 2004), E665-E672.

J. Alexander: Loxodromes: A rhumb way to go, Math. Mag.77(5) (2004), 349-358.

D. Calvetti, L. Reichel: Tikhonov regularization with a solution constraint, SIAM J. Sci. Comput., 26 (2004), pp. 224-239.

A. Nair, D. Calvetti and D.G. Vince: Regularized Autoregressive Analysis of Intravascular Ultrasound Backscatter: Improvement in Spatial Accuracy of Tissue Maps, IEEE Trans. Ultrason. Ferroelectr. Freq. Control (A), 51 (2004), pp. 420-431.

D. Calvetti, G. Landi, L. Reichel and F. Sgallari: Nonnegativity and iterative methods for ill-posed problems, Inverse Problems 20(2004), pp. 1747-1758.

D. Gurarie, and K.W. Chao: Two-dimensional vortex patterns for sinh-Poisson equation: equilibria and stability, Phys. Fluids, (2004), 16 (9), 3296

S. Danilov and D. Gurarie: Scaling, spectra and zonal jets in beta-plane turbulence, PHYSICS OF FLUIDS, 16(7), 2592-2603., doi:10.1063/1.1752928 , (2004).

M. Meckes: Volumes of symmetric random polytopes. Arch. Math. 82 (2004) no. 1, 85-96.Published version / Preprint

M. Meckes: Concentration of norms and eigenvalues of random matrices. J. Funct. Anal. 211 (2004) no. 2, 508-524.

J. Kaipio and E. Somersalo: Statistical and Computational Inverse Problems. Springer Verlag, 2004.

Y. V. Kurylev, M. Lassas and E. Somersalo: Focusing waves in electromagnetic inverse problems. AMS Contemporary Math. 348 (2004) 11–22.

J.P. Kaipio, A. Seppänen, E. Somersalo and H. Haario: Posterior covariance related optimal current patterns in electrical impedance tomography. Inverse Problems 20 (2004) 919–936.

J. Heino and E. Somersalo: A modelling error approach for the estimation of optical absorption in the presence of anisotropies. Phys. Med. Biol 49 (2004) 4785–4798.

P. Ola, L. Päivärinta and E. Somersalo: Inverse problems for time harmonic electrodynamics. In Inside Out: Inverse Problems and Applications. G. Uhlmann (editor). MSRI publications 47, Cambridge Univ Press, 2004, 169–192.

S. Szarek, S. Artstein, V. Milman and N. Tomczak-Jaegermann: On convexified packing and entropy duality. Geom. Funct. Anal. 14 (2004), no. 5, 1134-1141. Preprint in PDF format, 6p.

S. Szarek, S. Artstein and V. Milman: Duality of Metric Entropy. Annals of Math. 159 (2004), no. 3, 1313-1328. Preprint in PDF format, 17 p.

S. Szarek and N. Tomczak-Jaegermann: Saturating Constructions for Normed Spaces. Geom. Funct. Anal. 14 (2004), no. 6, 1352-1375. Preprint in PDF format, 27 p.

P.J. Thomas, J.D. Cowan, “Symmetry induced coupling of cortical feature maps”, Physical Review Letters, 92 (18):188101, (2004). (Epub May 2004.)

J.M. Fellous, P.H.E. Tiesinga,P.J. Thomas and T.J. Sejnowski, “Discovering Spike Patterns in Neuronal Responses”;, Journal of Neuroscience, 24 (12), 2989-3001, (2004).

P.J. Thomas, D.J. Spencer, S.K. Hampton, P. Park and J. Zurkus, “The DiffusionLimited Biochemical Signal-Relay Channel”, Advances in Neural Information Processing Systems 16, MIT Press, (2004).

E. Werner and C. Schütt: Surface bodies and $p$- affine surface area, Advances in Math. 187 (2004), 98-145

 

2003

J. Alexander, D. Brunengraber, B. McCabe, T. Kasumov, V. Chandramouli and S. Previs: Influence of diet on modeling of adipose tissue triglycerides during growth, Am. J. Physiol. Endocrin. Metab. 285 (2003), E917-E926.

J. Baglama, D. Calvetti and L. Reichel: IRBL: An implicitly restarted block Lanczos method for large-scale Hermitian eigenproblems, SIAM J. Sci. Comput., 24 (2003), pp. 1650-1677.

D. Calvetti, L. Reichel and A. Shuibi: L-curve and curvature bounds for Tikhonov regularization, Numer. Algorithms, 35(2003), pp. 301-314.

D. Calvetti, L. Reichel: Pole placement preconditioning, Linear Algebra Appl., 366 (2003), pp.99-120.

D. Calvetti, L. Reichel and A. Shuibi: Enriched Krylov subspace methods for ill-posed problems, Linear Algebra Appl., 362 (2003), pp. 257-273.

D. Calvetti, L. Reichel: Tikhonov regularization of large scale problems, BIT, 43 (2003), pp.263-283.

D. Calvetti, L. Reichel: On the evaluation of polynomial coefficients, Numer. Algorithms, 33 (2003), pp.153-161.

D. Calvetti, L. Reichel: Gauss quadrature applied to trust region computations, Numer. Algorithms, 34 (2003), pp.85-102.

J. Baglama, D. Calvetti and L. Reichel: IRBL: An implicitly restarted block Lanczos method for large-scale Hermitian eigenproblems, SIAM J. Sci. Comput., 24 (2003), pp. 1650-1677.

J. Baglama, D. Calvetti and L. Reichel: Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix, ACM Trans. Math. Software, 29 (2003), pp. 337-348.

D. Calvetti, L. Reichel: Symmetric Gauss-Lobatto and modified anti-Gauss rules, BIT, 43 (2003), pp.541-554.

C. Ramanathan, P. Jia, R. Ghanem, D. Calvetti and Y. Rudy: Noninvasive Electrocardiographic Imaging (ECGI): Application of the Generalized Minimal Residual (GMRes) method, Ann. Biomed. Eng., 3 (2003), pp. 981-994.

D. Calvetti, L. Reichel: Gauss quadrature rules applied to trust region computations, Numer. Algorithms, 34 (2003), pp. 85-102.

D. Gurarie: Long range dynamics of shallow water triad: renormalization, modulation and cyclogenesis, J. Atm. Sci., 60,5, 693-710 (2003).

M. Bikson, P.J. Hahn, J.E. Fox and J.G.R Jefferys: “Depolarization block of neurons during maintenance of electrographic seizures.” J. Neurophysiol. 90:2402-2408.(2003)

J. Shuai, M. Bikson, P.J. Hahn, J. Lian, and D.M.: “Durand Ionic mechanisms underlying spontaneous CA1 neuronal firing in Ca2+-free solution.” Biophys J. 84:2099-2111.(2003)

J. Langer and A. Calini: Schwarz reflection geometry, Part I: continuous iteration of reflection, Math. Zeitschrift, 244 (2003), 775–804.

K. Bingham, Y. V. Kurylev and E. Somersalo (editors): New Analytic and Geometric Methods in Inverse Problems. Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000. Springer Verlag, 2003.

Y. V. Kurylev, M. Lassas and E. Somersalo: Reconstruction of a manifold from electromagnetic boundary measurements. AMS Contemporary Math. 333 (2003) 147–161.

S. Siltanen, V. Kolehmainen, S. Järvenpää, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttilä and E. Somersalo: Statistical inversion for medical X-ray tomography with few radiographs I: General theory. Phys. Med. Biol. 48 (2003) 1437–1463.

V. Kolehmainen, S. Siltanen, S. Järvenpää, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttilä and E.Somersalo: Statistical inversion for medical X-ray tomography with few radiographs II: Application to dental radiology. Phys. Med. Biol. 48 (2003) 1465–1490.

E. Somersalo, A. Voutilainen and J. Kaipio: Non-stationary MEG by Bayesian filtering. Inverse Problems 19 (2003) 1047–1064.

J. Heino, S. Arridge, J. Sikora and E. Somersalo: Anisotropic effects in highly scattering media. Phys. Rev. E 68 (2003) art.no. 031908.

S. Szarek, S. Artstein and V. MilmanDuality of metric entropy in euclidean space. C. R. Acad. Sci. Paris. 337 (2003), no. 11, 711-714. Preprint in English in PDF format, 5 p.

S. Szarek and B. S. Kashin: On Gram matrices of uniformly bounded systems of functions. Trudy MIAN 243 (2003), 237-243 (English transl. Proc. Steklov Inst. 243 (2003), 227–233.) Preprint in Russian in PDF format, 10 p. English transl.

S. Szarek and B. S. Kashin: The Knaster problem and the geometry of high-dimensional cubes. C. R. Acad. Sci. Paris Sér. I Math. 336 (2003), no. 11, pp. 931–936. Preprint in English in PDF format, 6 p.

S. Szarek, S. Artstein and V. Milman: More on the Duality Conjecture for Entropy Numbers. C. R. Acad. Sci. Paris Sér. I Math. 336 (2003), no. 6, 479–482.

S. Szarek and P. Mankiewicz: On the geometry of proportional quotients of ${l^m_1}$}. Studia Math. 155 (2003), 51–66. Preprint in PDF format, 19 p.

P.J. Thomas, P. H. E. Tiesinga, J.M. Fellous and T. J. Sejnowski: “Reliability and Bifurcation in Neurons Driven by Multiple Sinusoids”, Neurocomputing 52-54, 955-961, (2003).

 

2002

D. Calvetti, S.-M. Kim, L. Reichel: The restarted QR-algorithm for eigenvalue computation of structured matrices, J. Comput. Appl. Math., 149 (2002), pp. 415-422.

D. Calvetti, B. Lewis, L. Reichel: GMRES, L-curves and discrete ill-posed problems, BIT, 42 (2002), pp. 44-65.

D. Calvetti, B. Lewis, L. Reichel: On the regularizing properties of the GMRES method, Numer. Math., 91 (2002), pp. 605-625.

D. Calvetti, P.C. Hansen, L. Reichel: L-curve curvature bounds via Lanczos bidiagonalization, Elec. Trans. Numer. Anal., 14 (2002), pp. 20-35.

D. Calvetti, L. Reichel: Lanczos-based exponential filtering for discrete ill-posed problems, Numer. Algorithms, 29 (2002), pp. 45-65.

S. Danilov, D. Gurarie: Rhines scale and spectra of the beta-plane turbulence with bottom drag, Phys. Rev. E 65, 067301 (2002)

D. Gurarie, D. Lenshow: A Simple Model for Relating Concentrations and Fluctuations of Trace Reactive Species to Their Lifetime in the Atmosphere, J. Geoph. Res., 107, no. D24, 4805, (2002)

D. Singer and Rongpei Huang: A New Flow on Starlike Curves in R3, Proc. Amer. Math. Soc. 130 (2002), 2725-2735

J. P. Kaipio and E. Somersalo: Estimating anomalies from indirect observations. J. Comp. Phys. 181 (2002) 398–406.

Y. V. Kurylev, M. Lassas and E. Somersalo: Reconstruction of a manifold from electromagnetic boundary measurements. AMS Contemporary Math. 333 (2002) 147–162.

M. Mataich, M. Lassas, E. Somersalo and S. Siltanen: Wind velocity observation with CW Doppler radar. IEEE Trans. GRS 40 (2002) 2427–2437.

J. Heino and E. Somersalo: Estimation of optical absorption in anisotropic background. Inverse Problems 18 (2002) 559–573.

S. Szarek, M. B. Ruskai and E. Werner: An Analysis of Completely-Positive Trace-Preserving Maps on $M_2$. Linear Algebra Appl. 347 (2002), 159–187. Arxiv.org eprint

W.J. Rappel, P. J. Thomas, H. Levine and W. F. Loomis: “Establishing Direction during Chemotaxis in Eukaryotic Cells”, Biophysical Journal 83, 1361-1367, (2002).

P.C. Bresslo, J.D. Cowan, M. Golubitsky, P.J. Thomas and M.C. Wiene: “What geometric visual hallucinations tell us about the visual cortex”, Neural Computation 14,473-491, (2002).

E. Werner, Y. Gordon, A. Litvak and C. Schütt: Geometry of spaces between polytopes and related zonotops , Bulletin des sciences mathematiques, 126 (2002), 733-762

E. Werner, Y. Gordon, A. Litvak and C. Schütt: Orlicz norms of sums of random variables , Annals of Probability 30 (2002), 1833-1853

E. Werner: The $p$- affine surface area and geometric interpretations, Rendiconti Circ. Mat. Palermo Serie II, 70 (2002), 367-382

E. Werner and C. Schütt: Random polytopes of points chosen from the boundary of a convex body, GAFA Seminar Notes (2002), Lecture Notes in Mathematics 1807, Springer-Verlag, 241-422

 

2001

J. Alexander and G. Auchmuty : L2-well-posedness of planar div-curl problems, Arch. Rat. Mech. Anal. , 160(2) (2001), 91-134

J. Alexander, R. Moore, W. L. Kath, B. Sandstede and C. K. R. T. Jones: Stability of multiple pulses in optical fibers with phase-sensitive amplification and noise, Optics Comm. 195 (2001) 127-139.

G.S. Ammar, D. Calvetti, W.B. Gragg, L. Reichel: Polynomial zerofinders based on Szegő polynomials, J. Comput. Appl. Math., 127 (2001), pp. 1-16.

D. Calvetti, S. Morigi, L. Reichel, F. Sgallari: An iterative method with error estimators, J. Comput. Appl. Math., 127 (2001), pp. 93-119.

D. Calvetti, B. Lewis, L. Reichel: On the solution of large Sylvester-observer equations, Numer. Linear Algebra Appl., 8 (2001), pp. 435-451.

D. Calvetti, B. Lewis, L. Reichel: On the choice of subspace for iterative methods for linear discrete ill-posed problems, Int. J. Appl. Math. Comput. Sci., 11 (2001), pp. 1069-1092.

S. Danilov and D. Gurarie: Forced two-dimensional turbulence in spectral and physical space, Phys. Rev. E 63, 061208 (2001)

S. Danilov and D. Gurarie: Nonuniversal features of forced two-dimensional turbulence in the energy range, Phys. Rev. E 63, 020203 (2001)

P.J. Hahn and D. Durand: “Bistable dynamics in simulations of neural activity in high extracellular potassium conditions.” J. Comp. Neuro., 11:5-18.(2001)

J. Shuai, J. Lian, P.J. Hahn and D.M. Durand: “Positive Lyapunov exponents calculated from time series of strange nonchaotic attractors.” Phys. Rev. E, 64:026220.(2001)

M. Bikson, J. Lian, P.J. Hahn, W.C. Stacey, C. Sciortino and D.M. Durand: “Suppression of epileptiform activity by high frequency sinusoidal fields in rat hippocampal slices.” J. Physiol., 531:181-191. (2001)

J. Lian, J. Shuai, P.J. Hahn, and D.M. Durand: “Nonlinear dynamic properties of low calcium induced epileptiform activity.” Brain Res., 890:246-254.(2001)

S. H. Izen, T. J. Bencic: Application of the Radon transform to calibration of the NASA-Glenn Icing Research Wind Tunnel. Radon transforms and tomography (South Hadley, MA, 2000), 147–166,– –Contemp. Math., 278,– –Amer. Math. Soc., Providence, RI,– –2001.

J. Langer: Sraightening soliton curves, Appl. Math. Lett., 14 (2001), 387-391.

D. Singer: Diffeomorphisms of the circle and hyperbolic curvature, Conform. Geom. Dyn. 5 (2001), 1-5.

M. Lassas and E. Somersalo: Analysis of PML equations in general convex geometry. Proc. of the Royal Soc. Edinburgh 131A (2001) 1183–1207.

A. Seppänen, M. Vauhkonen, P. Vauhkonen, E. Somersalo and J. P. Kaipio: State estimation with fluid dynamical evolution models in process tomography – An application with impedance tomography. Inverse Problems 17 (2001) 467–484.

J. Cheng, G. Nakamura and E. Somersalo: Uniqueness of identifying the convection term. Comm. Korean Math. Soc. 16 (2001) 405–414.

A. Seppänen, M. Vauhkonen, P. Vauhkonen, E. Somersalo and J. P. Kaipio: Fluid dynamical models and state estimation in process tomography – Effects due to inaccuracies in flow fields. J. Electron. Imaging 10 (2001) 630–640.

A. Seppänen, M. Vauhkonen, E. Somersalo and J. P. Kaipio: State space models in process tomography- Approximation of the state noise covariance. Inverse Problems in Engineering 9 (2001) 561–585.

M. Lassas, J. Liukkonen and E. Somersalo: Complex Riemannian metric and absorbing boundary conditions. J. Math. Pures Appliquées 7 (2001) 739–768.

S. Szarek and V. Milman: A Geometric Approach to Duality of Metric Entropy. C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 2, 157-162. Preprint in PDF format

S. Szarek and K. R. Davidson: Local operator theory, random matrices and Banach spaces. In “Handbook on the Geometry of Banach spaces,” Volume 1, W. B. Johnson, J. Lindenstrauss eds., Elsevier Science 2001, pp. 317-366. Addenda and Corrigenda, in Volume 2, 2003, pp. 1819-1820. Preprint in PDF format, 59 p. Addenda and Corrigenda, 2 p.

P.C. Bresslo, J.D. Cowan, M. Golubitsky, P.J. Thomas and M.C. Wiener: “Geometric visual hallucinations, Euclidean symmetry, and the functional architecture of striate cortex”, Phil. Trans. R. Soc. Lond. B 356, 299-330, (2001).

P.C. Bresslo, J.D. Cowan, M. Golubitsky and P.J. Thomas : “Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex”, Nonlinearity. 14, 739-775, (2001).

E. Werner, S. Reisner and C. Schütt: Dropping a vertex or a facet from a convex polytope , Forum Math. 13 (2001), 359-378

 

2000

J. Alexander, B. Fiedler and S. Liebscher: Generic Hopf bifurcation from lines of equilibria without parameters: III. Binary Oscillations, Int. J. Bifurcation and Chaos in Appl. Sciences and Eng. 10(9) (2000), 1613-1622.

D. Calvetti, L. Reichel, F. Sgallari, G. Spaletta: A regularizing Lanczos iteration method for underdetermined linear systems, J. Comput. Appl. Math., 115 (2000), pp. 101-120.

D. Calvetti, S. Morigi, L. Reichel, F. Sgallari: Tikhonov regularization and the L-curve for large, discrete ill-posed problems , J. Comput. Appl. Math., 123 (2000), pp. 423-446.

D. Calvetti, L. Reichel: Iterative methods for large continuation problems, J. Comput. Appl. Math., 123 (2000), pp. 217-240.

D. Calvetti, S. Morigi, L. Reichel, F. Sgallari: Computable error bounds and estimates for the conjugate gradient method, Numer. Algorithm, 25 (2000), pp. 79-88.

D. Calvetti, B. Lewis, L. Reichel: GMRES-type methods for inconsistent systems, Linear Algebra Appl., 316 (2000), pp.157-169.

D. Calvetti, S. Morigi, L. Reichel, F. Sgallari: An L-ribbon for large underdetermined linear discrete ill-posed problems, Numer. Algorithms, 25 (2000), pp. 89-107.

S. Danilov, D. Gurarie: Quasi two-dimensional turbulence, Physics Uspekhi: Review of topical problems, (Uspekhi Fizicheskih Nauk, Russian Academy of Sciences), 43 (9) 863 -900 (2000).

B. Ovryn, S. H. Izen: Imaging of transparent spheres through a planar interface using high-numerical aperture optical microscope, J. Opt. Soc. Amer. A 17(7), 2000, pp. 1202–1213.

P. Kotelenez: Smooth Solutions of Quasi-linear Stochastic Partial Differential Equations of McKean-Vlasov Type. In: “Skorokhod’s Ideas in Probability Theory”, V. Korolyuk, N. Portenko, H. Syta (eds.), in honor of A.V.Skorokhod, National Academy of Sciences of Ukraine, Institute of Mathematics, Kyiv.( 2000)

J. Langer and R. Perline: Geometric realizations of Fordy-Kulish nonlinear Schrödinger systems, Pac. J. Math.,Vol. 195, No. 1, 2000, 157-178.

J. Kaipio, V. Kolehmainen, E. Somersalo and M. Vauhkonen: Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Inverse Problems 16 (2000) 1487–1522.

S. Szarek and D. Voiculescu: Shannon’s Entropy Power Inequality via Restricted Minkowski Sums. In “Geometric Aspects of Functional Analysis”, V. D. Milman and G. Schechtman eds., Lecture Notes in Math. 1745, Springer Verlag, Berlin 2000, 257-262. Preprint in PDF format

S. Szarek and V. Milman: A Geometric Lemma and Duality of Entropy Numbers. In “Geometric Aspects of Functional Analysis, Israel Seminar 1996-2000″, V. D. Milman and G. Schechtman eds., Lecture Notes in Math. 1745, Springer Verlag, Berlin 2000, 191-222. Preliminary version: Erwin Schršdinger Institute, Vienna, preprint # 687, April 1999, 40 p., available at http://www.esi.ac.at/ESI-Preprints.html

P.J. Thomas: “Order and Disorder in Visual Cortex: Spontaneous Symmetry-Breaking and Statistical Mechanics of Pattern Formation in Vector Models of Cortical Development”, Dissertation, University of Chicago Department of Mathematics, (2000).

E. Werner and C. Schütt: Random polytopes with vertices on the boundary of a convex body , Comptes Rendus de l’Academie des Sciences Paris 331 (2000), 697-201

E. Werner and M. B. Ruskai: Study of a class of regularizations of $1/|x|$ using {G}aussian integrals, SIAM J. of Math. Analysis vol.32, no. 2 (2000), 435-463

E. Werner, M. B. Ruskai and R. Brummelhuis: One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields, Differential Equations and Mathematical Physics, ed. by G.Weinstein and R. Weikard, 43-51, International Press, (2000)

E. Werner and M. Meyer: On the p-affine surface area, Advances in Math. 152 (2000), 288-313