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# Department of Mathematics, Applied Mathematics and Statistics

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# 2010 – Today

### 2013

W. Strychalski and R. D. Guy, “A Computational Model of Bleb Formation”, Math. Med. Biol. vol. 30, no. 2, 115-130 (2013)

Homa L, Calvetti D, Hoover A and Somersalo E: Bayesian preconditioned CGLS for source separation in MEG time series, SIAM J. Sci. Comput. 13 (2013) B778-B798.

Arnold A, Calvetti D and Somersalo E (2013) Linear multistep methods, particle filtering and sequential Monte Carlo. Inverse Problems 29:085007

Martelli S, Calvetti D, Somersalo E Viceconti M and Taddei F (2013) Computational tools for calculating alternative muscle force patterns during motion: a comparison of possible solutions. J Biomech. 46(12):2097-100. doi: 10.1016

Calvetti D and Somersalo E (2013) Quantitative in silico analysis of neurotransmitter pathways under steady state conditions, Front. Endocrinol., 08 October 2013 | doi: 10.3389.

Calvetti D, Somersalo E and Spies R (2013) Variable order smoothness priors for ill-posed inverse problems, Math. Comp., to appear.

Immonen T, Calvetti D and Somersalo E (2013) Modeling HIV-1 dynamics and fitness in cell culture across scales, Bull. Math. Biol., to appear.

Joel Langer and David A. Singer, The trefoil, Milan J. Math., (2013), 22 pages, to appear.

Michiel Hochstenbach, David A. Singer, and Paul Zachlin, Numerical Approximation of the Field of Values of the Inverse of a Large Matrix , Textos de Matematica 44 (2013), 59-71.

W. Guo and J. Qin, A geometry guided image denoising scheme, Inverse Problems and Imaging, 7(2): 499-521, 2013.

W. Guo and M. Lai, Box spline wavelet frames for image edge analysis, SIAM J. Imaging Sci., 6(3), 1553-1578, 2013.

J. Qin and W. Guo, An efficient compressive sensing MR Image Reconstruction Scheme, ISBI, 306-309, 2013.

Miranda C. N. Cheng, Xi Dong, John F. R. Duncan, Jerey Harvey, Shamit Kachru and Timm Wrase, Mathieu Moonshine and N = 2 String Compactications, June 2013. Journal of High Energy Physics 09 (2013) 030. arXiv:1306.4981

P. Pepple Williamson, Estimation of the Population Size in the Classical Occupancy Problem, Communications in Statistics – Simulation and Computation, accepted April 2013.

A. I. Saichev and W.A. Woyczynski, Distributions in the Physical and Engineering Sciences: Volume 2: Linear and Nonlinear Dynamics in Continuous Media, Birkhauser-Boston/Springer 2013, 409 pp.

M. Czystolowski, W. Szczotka, and W.A. Woyczynski, Levy processes as heavy traffic limits of tandem queues with heavy tails, Probability and Mathematical Statistics, 33 (2013), 107-120

### 2012

W. Strychalski and R. D. Guy, “Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow”, Commun. Comput. Phys. vol. 12, no. 2, 462-478 (2012)

D. Calvetti, E. Somersalo, Ménage á trois: the role of neurotransmitters in the energy metabolism of astrocytes glutamatergic, ad GABAergic neurons. J. Cerebral Blood Flow and Metabolism 32, 1472-1483, 2012. Electronic version: doi: 10.1038/jcbfm.2012.31.

D. Calvetti, E. Somersalo, D. McGivney, Left and right preconditioning for electrical impedance tomography with strutural information. Inverse Problems 28, 055015, 2012.

E. Somersalo, Y. Cheng and D. Calvetti, The metabolism of neurons and astrocytes through mathematical modesl. Ann. Biomed. Eng. 40 2328-2344, 2012.

D. McGivney, D. Calvetti, E. Somersalo, Quantitiative imaging with electrical impedance spectroscopy. Phys. Med. Biol. 57, 7289 2012.

D. Calvetti, E. Somersalo, R Occhipinti, W. F. Boron, A reaction-diffusion model of COinflux into an oocyte. J. Theor. Biol., 185-203, 2012.

D. Calvetti, E Somersalo, T. Immonen, R. Gibson, T. Leitner, M.A. Miller, E.J. Arts, A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 competition assay. J. Theor. Biol. 312C 120-132, 2012.

D. Calvetti and E. Somersalo, Computional Mathematical Modeling. An Integrated Approach through Scales. SIAM, Philadelphia, 2012.

W. Guo and W. Yin, Edge guided reconstruction for Compressive Imaging, SIAM J. Imaging Sci., 5(3), 809-834, 2012.

J. Miao, W. Guo, S. Narayan and D. L. Wilson, “A simple application of compressed sensing to further accelerate partially parallel imaging”, Magnetic Resonance Imaging, 31(1), 75-85, 2012.

Joel Langer and David A. Singer, Subdividing the Trefoil by Origami, Geometry 1 (2012).

E. Werner, f-Divergence for convex bodies , Proceedings of the “Asymptotic Geometric Analysis” workshop, Fields Institute, Toronto 2012

G. Paouris and E. Werner, On the approximation of a polytope by its dual Lp-centroid bodies, to appear in Indiana Univ. Math. J.

J. Jenkinson and E. Werner, Relative entropies for convex bodies, to appear in TRANSACTIONS OF THE AMS

E. Werner, Renyi Divergence and Lp-affine surface area for convex bodies, Advances in Mathematics 230, 1040–1059 (2012)

S. Artstein-Avidan, B. Klartag and C. Schuett and E. Werner, Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality, Journal of Functional Analysis 262, 4181-4204 (2012)

G. Paouris and E. Werner, Relative entropy of cone measures and Lp centroid bodies, PROCEEDINGS LONDON MATH. SOC. 104 (2012), no. 2, 253–286.

S. Reisner, C. Schuett and E. Werner, A note on Mahler’s conjecture, INTERNATIONAL MATH. RESEARCH NOTICES, (2012), no. 1, 1–16.

Y. Gordon, A. Litvak, C. Schuett and E. Werner, Uniform estimates for order statistics and Orlicz functions, POSITIVITY, 16 (2012), no. 1, 1–28.

Miranda C. N. Cheng and John F. R. Duncan, On the Discrete Groups of Mathieu Moonshine, December 2012. (To appear in Contemporary Mathematics, AMS.) arXiv:1212.0906

John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, Alistair Savage and Michael Schlosser, On the work of Igor Frenkel, May 2012. (To appear in Contemporary Mathematics, AMS.)

Miranda C. N. Cheng and John F. R. Duncan, The Largest Mathieu Group and (Mock) Automorphic Forms. String-Math 2011, Proceedings of Symposia in Pure Mathematics 85 (2012). arXiv:1201.4140

Miranda C. N. Cheng and John F. R. Duncan, On Rademacher Sums, the Largest Mathieu Group, and the Holographic Modularity of Moonshine. Communications in Number Theory and Physics 6 (2012), no. 3. arXiv:1110.3859

Christopher J. Cummins and John F. R. Duncan, An E8 correspondence for multiplicative eta-products, April 2012. Canadian Mathematical Bulletin 55 (2012), 67-72. doi:10.4153/CMB-2011-068-9

P. Pepple Williamson, Usefulness of Asymptotic Distributions in the Classical Occupancy Problem, Communications in Statistics – Simulation and Computation, 41, 1501-1517, 2012.

Xiaosong Li and P. Pepple Williamson, Testing on the Common Mean of Normal Distributions Using Bayesian Methods, Journal of Statistical Computation and Simulation, accepted October 2012. (published online November 28, 2012, will appear in January or February of 2014)

A. Piryatinska, W.A. Woyczynski, K. Loparo and M. Scher, Optimal channel selection for analysis of EEG-sleep patterns in neonates , Computer Methods and Algorithms in Biomedicine, 106 (2012), 14-26.

Ya. Belopolskaya and W.A. Woyczynski, Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes, Stochastics and Dynamics, 12 (2012), 1-31.

Ya. Belopolskaya and W.A. Woyczynski, Probabilistic approach to construction of viscosity solutions for the Cauchy problem for systems of fully nonlinear parabolic equations, Proceedings of the Seminar of the St. Petersburg Division of the Mathematical Institute of Russian Academy of Sciences, 396 (2012), 31-66.

W.A. Woyczynski, The legend of Hugo Steinhaus: tales of two cities, up close and personal, Annals of the Polish Mathematical Society, 6th European Congress of Mathematics Issue, 48 (2012), 293-311.

S. Meleard, B. Jourdain, and W.A. Woyczynski, Levy flights in evolutionary ecology, Journal of Mathematical Biology , 65 (4) (2012), 677-707.

Z. Hass, W.A. Woyczynski, C. Yanosko, and Eric Becker, A lost opportunity: Recovering the end of Major League Baseball’s 1994 strike shortened season, Mathematica Applicanda , 40 (2) (2012), 13-31.

### 2011

D. Calvetti, L. Homa and E. Somersalo, Bayesian mixture models for source separation in MEG. Inverse Problems 27 (2011) 115001.

D. Calvetti, B. Wodlinger, D.M. Durand and E. Somersalo, Hierarchical beamformer and cross-talk reduction in electroneurography. J. Neural Engineering 8 (2011) 056002.

D. Calvetti and E. Somersalo, Dynamic activation model for glutamatergic neurovascular unit. J. Theor. Biol. 274 (2011) 12.29.

D. Calvetti and E. Somersalo, Statistical methods in imaging. In: O, Scherzer (Ed.): Handbook of Mathematical Methods in Imaging, 2011, Springer Verlag, 913-957.

J. Qin and W. Guo, An automatic additive and multiplicative noise removal scheme with sharpness preservation, Proceedings of International Symposium on Biomedical Imaging, 2011, p1819-1822.

C. Li, Q. Hao, W. Guo and F. Hu, Compressive neural activity detection with fMR images using Graphical Model Inference, International Journal of Computational Biology and Drug Design, 2011, 3(3):187-200.

Kotelenez, P. and Seadler, B.: On Hahn-Jordan Decomposition for Signed Measure Valued Stochastic Partial Differential Equations. Stochastics and Dynamics, 2010.

J. Langer, A theorem on meromorphic parameterizations of real algebraic curves, Journal of Geometry.

J.Langer, The conformal Vega disk, Bridges Proceedings 2011.

J. Langer and D. Singer, The lemniscatic chessboard, Forum Geometricorum .

M. Leitman and P. Villaggio: An Approximate Theory of Pseudo-Arches. To appear in Int’l. J. Solids and Structures

E. Meckes and M. Meckes: Another observation about operator compressions, Proc. Amer. Math. Soc. (2011), 1433-1439.

M. Meckes and S. Szarek, Concentration for noncommutative polynomials in random matrices. To appear in Proc. Amer. Math. Soc. Arxiv.org eprint 11 p. http://arxiv.org/abs/1101.1923

Kahle, Matthew and Meckes, Elizabeth, Limit theorems for Betti numbers of random simplicial complexes, ArXiv preprint http://arxiv.org/abs/1009.4130.

Meckes, Elizabeth, Projections of probability distributions: A measure-theoretic Dvoretzky theorem, In Geometric Aspects of Functional Analysis: Papers from the Israel Seminar (GAFA), 2011 (to appear).

G. Aubrun, S. J. Szarek and D. Ye: Entanglement thresholds for random induced states. Arxiv.org eprint 29 p. http://arxiv.org/abs/1106.2264

S. J. Szarek, E. Werner and K. Zyczkowski: How often is a random quantum state entangled? J. Phys. A: Math. Theor. 44,045303 (2011). Arxiv.org eprint 19 p. http://arxiv.org/abs/1010.1485

D. Michael Ackermann, Niloy Bhadra, Meana Gerges and Peter J. Thomas: Dynamics and Sensitivity Analysis of High Frequency Conduction Block. Journal of Neural Engineering.

Peter J. Thomas: A Lower Bound for the First Passage Time Density of the Suprathreshold Ornstein-Uhlenbeck Process. Journal of Applied Probability 48(2), June 2011.

J. V. Toups, J. M. Fellous, P. J. Thomas, T. J. Sejnowski, P. H. Tiesinga: Finding the event structure of neuronal spike trains. Neural Computation.

D. J. Meyer, J. Messer, T. Singh, P. J. Thomas, W. A. Woyczynski, J. Kaye, A. J. Lerner: Random Local Temporal Structure of Category Fluency Responses. Journal of Computational Neuroscience.

Anand, A., Ovall, J., Turc, C., Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners, to appear in Journal Integral Equations and Applications, 2011

Anand, A., Chaubell, J., Bruno, O., Turc, C., Efficient Solution of Three-Dimensional Problems of Acoustic and Electromagnetic Scattering by Open Surfaces, WAVES 2011

Bruno, O., Shipman, S., Turc, C., Venakides, S., Efficient Solution of Acoustic and Electromagnetic Scattering Problems\\ in Three-Dimensional Periodic Media, WAVES 2011.

E. Werner, Y. Gordon, A. Litvak and C. Schütt : Uniform estimates for order statistics and Orlicz functions Positivity, DOI 10.1007/s11117-010-0107-3

E. Werner, S. Reisner and C. Schütt : Mahler’s conjecture and curvature International Mathematics Research Notices, DOI 10.1093/imrn/rnr003

E. Werner and Deping Ye: On the Homothety Conjecture to appear in Indiana J. of Math.

G. Aubrun, S. Szarek and E. Werner: Hastings’s additivity counterexample via Dvoretzky’s theorem Communications in Mathematical Physics 305 (2011)

### 2010

W. Strychalski, D. Adalsteinsson, and T. C. Elston, “Simulating Biochemical Signaling Networks in Complex Moving Geometries”, SIAM J. Sci. Comput. vol. 32, no. 5, 3039-3070 (2010)

W. Strychalski, D. Adalsteinsson, and T. C. Elston, “A Cut Cell Method for Simulating Spatial Models of Biochemical Reaction Networks in Arbitrary Geometries”, Comm. App. Math. Comp. Sci. vol. 5, no. 1, 31-53 (2010)

D. Calvetti and E. Somersalo, Subjective knowledge or Objective Belief? In: L. Biegler, G. Biros, O. Gjattas, M. Heinkenschloss, D. Keyes, B. Mallick, Y, Marzouk, L. Tenorio, B. van Bloemen Waanders, K. Willcox (eds) Large-scale inverse problems and quantification of uncertainity, 2010, John Wiley & Sons, Ltd, UK, 33-70

J. Bardsley, D. Calvetti and E. Somersalo: Hierarchical regularization for edge preserving reconstruction of PET images. Inverse Problems 26 (2010)

R. Occhipinti, E. Somersalo and D. Calvetti: Energetics of inhibition: insights with a computational model of the human GABAergic neuron astrocyte complex, to appear in J. Cereb. Blood Flow Metab

W. Guo, W.Yin: EdgeCS: Edge Guided Compressive Sensing Reconstruction, to appear on Proceedings of SPIE Visual Communication and Image Processing (2010)

F. Huang, Y. Chen, W. Yin, W. Lin, X. Ye, W. Guo, Arne Reykowski: A rapid and robust numerical algorithm for sensitivity encoding with sparsity constraints: Self-feeding sparse SENSE, to appear on Magnetic Resonance in Medicine (2010) .

L. Kristensen, D.Lenschow, D. Gurarie, N. Jensen: A Simple Model for the Vertical Transport of Reactive Species in the Convective Atmospheric Boundary Layer, Boundary-Layer Meteorology: Volume 134, Issue 2 (2010), Page 195

D. Gurarie, C.H. King, X. Wang: (2010), A new approach to modeling Schistosomiasis transmission based on stratified worm burden, Parasitology.

D. Gurarie, X. Wang, AL Bustinduy, and CH King: (2010) Modeling Catch-Up Growth Following Different Drug Treatment Regimens for Endemic Schistosomiasis, PLoS NTD (UR).

P. Kotelenez, Stochastic Flows and Signed Measure Valued Stochastic Partial Differential Equations. Theory of Stochastic Processes (November 2010).

P. Kotelenez, and T.G. Kurtz, Macroscopic Limit for Stochastic Partial Differential Equations of McKean-Vlasov Type. “Probab. Th. Rel. Fields” Vol. 146, Issue 1-2, p. 189-.(2010)

J. Langer, The Vitruvian figure of eight, Bridges Pecs, Proceedings 2010.

M. Leitman and P. Villagio: Optimal Parabolic Arches, Int. J. of Eng. Sci. in honor of K.R. Rajagopal’s 60th birthday .

G. Aubrun, S. Szarek and E. Werner, Hastings’ additivity counterexample via Dvoretzky’s theorem. Arxiv.org eprint 11 p. http:arxiv.org/abs/1003.4925

P. Indyk and S. Szarek, Almost-Euclidean subspaces of $\ell_1^N$ via tensor products: a simple approach to randomness reduction. RANDOM 2010, to appear Arxiv.org eprint 10 p. http://arxiv.org/abs/1001.0041

J. Fulop, W. Koczkodaj and S. Szarek, A different perspective on a scale for pairwise comparisons. LNCS Transactions on Computational Collective Intelligence, to appear

W. Koczkodaj and S. Szarek, On Distance-based Inconsistency Reduction Algorithms for Pairwise Comparisons. Logic Journal of IGPL, to appear. Available at http://jigpal.oxfordjournals.org/cgi/content/abstract/jzp062

G. Aubrun, S. Szarek and E. Werner, Non-additivity of Rényi entropy and Dvoretzky’s theorem. J. Math. Phys. 51, 022102 (2010). Arxiv.org eprint 8 p. http://arxiv.org/abs/0910.1189

S. Szarek, On norms of completely positive maps. In ,Proceedings of IWOTA 2008, Oper. Theory Adv. Appl. Vol. 202, Birkhauser, Basel 2010, 535-538. (preliminary version was listed as a preprint under 2006)

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, 11:57, 29 June 2010. Reprint: http://www.biomedcentral.com/1471-2156/11/57.

E. Werner and D. Ye, Inequalities for mixed p-affine surface area, Math. Annalen 347 (2010), 703-737

E. Werner, G. Aubrun and S. Szarek, Nonadditivity of Renyi entropy and Dvoretzky’s theorem, Journal of Mathematical Physics 51 (2010) 022102 and Virtual Journal of Quantum Information 10 (2010)