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School of Mathematical Sciences

Caught in the act... Image by Mr Tim Carnus.

Caught in the act... Image by Mr Tim Carnus.

School of Mathematical Sciences - Research Publications 2006/07

Below is the list of research publications for the School of Mathematical Sciences in the academic year 2006/07




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Books

Professor Philip Boland
Boland, P. J. (2007) Statistical and Probabilistic Methods in Actuarial Science. Boca Raton: Chapman & Hall/CRC. Available Online  
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Book Chapters

Professor Tom Laffey
Laffey, Thomas J. and Smigoc, Helena (2006) 'Structured matrices in the nonnegative inverse eigenvalue problem' In: Mathematical Papers in Honour of Eduardo Marques de Sa. Textos de Matematica (Univ de Coimbra).  
Dr Helena Smigoc
Laffey, T.J. and Smigoc, H. (2007) 'Structured matrices in the nonnegative inverse eigenvalue problem' In: Mathematical Papers in Honor of Eduardo Marques de Sá. Textos de Matemática, Volume 39.  
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Peer Reviewed Journals


Professor Philip Boland
Boland, P.J. and Ni Chuiv, N. (2007) 'Optimal Times for Software Release when Repair is Imperfect'. Statistics and Probability Letters, 77 :1176-1184.  
Boland, P.J. (2007) 'The Probability Distribution for the Number of Successes in Independent Trials'. Communications in Statistics, 36 :1327-1331.  
Dr Christopher Boyd
Boyd. C & Venkova, M. (2007) 'Grothendieck space ideals and weak continuity of polynomials on locally convex spaces'. Monatshefte Fur Mathematik, 151 :189-200.  
Boyd, C. & Ryan, R.A. (2006) 'The norm of products of polynomials in infinite dimensions'. Proceedings of the Edinburgh Mathematical Society, 49 :17-28.  
Boyd, C. & Rueda, P. (2006) 'Complete weights and $v$-peak points of spaces of weighted holomorphic functions'. Israel Journal of Mathematics, 155 :57-80.  
Boyd, C. & Lassalle, S. (2006) 'Centralisers of spaces of symmetric tensor products and applications'. Mathematische Zeitschrift, 254 (3):539-552.  
Dr Carl Bracken
Bracken, C., Byrne, E., McGuire, G. (2007) 'On the Walsh Spectrum of a New APN Function'. Lecture Notes in Computer Science, 4887.  
Dr Eimear Byrne
Byrne, E., Greferath, M., O'Sullivan, M. (2007) 'The Linear Programming Bound for Codes Over Finite Frobenius Rings'. Designs, Codes and Cryptography, 42 (3).  
Dr Rodrigo Caballero
Caballero, R. (2007) 'Cloud variability, radiative forcing and meridional temperature gradients in a general circulation model'. Tellus, 59 :641-649.  
Dr Marc Casals
Casals, M., Dolan, S., Kanti, P., Winstanley, E., (2007) 'Brane decay of a ( 4+n)-dimensional rotating black hole. III: spin-1/2 particles'. Journal of High Energy Phys.  
Professor John Connolly
Brophy, C., Gibson, D.J., Wayne, P.M. & Connolly, J. (2007) 'A modelling framework for analysing the reproductive output of individual plants grown in monoculture'. Ecological Modelling, 207 :99-108.  
Suter, M., Ramseier, D., Guesewell, S., Connolly, J. (2007) 'Convergence patterns and multiple species interactions in a designed plant mixture of five species'. Oecologia .  
Kirwan L., Lüscher, A., Sebastià, M.T., Finn, J.A., Collins, R.P., Porqueddu, C., Helgadottir, A., Baadshaug, O.H., Brophy, C., Coran, C., Dalmannsdóttir, S., Delgado, I., Elgersma, A., Fothergill, M., Frankow-Lindberg, B.E., Golinski, P., Grieu, P., Gustavsson, A.M., Höglind, M., Huguenin-Elie, O., Iliadis, C., Jørgensen, M., Kadziuliene, Z., Karyotis, T., Lunnan, T., Malengier, M., Maltoni, S., Meyer, V., Nyfeler, D., Nykanen-Kurki, P., Parente, J., Smit, H.T., Thumm, U., Connolly, J. (2007) 'Evenness drives consistent diversity effects in intensive grassland systems across 28 European sites'. Journal of Ecology .  
Sheehan, C., Kirwan, L., Connolly, J. and Bolger, T. (2007) 'The effects of earthworm functional group diversity on earthworm community structure'. Pedobiologia.  
Dr Edward A Cox
Kluwick, Alfred, Scheichl, Stefan and Cox, Edward A. (2007) 'Near-critical hydraulic flows in two-layer fluids'. Journal of Fluid Mechanics, 575 :177-186.  
Professor Sean Dineen
Dineen, S., Nilsson, L. (2007) 'Integral representation of holomorphic mappings on fully nuclear spaces'. Journal of Mathematical Analysis and Applications, 339 :146-152.  
Dr Sam Dolan
Dolan, S. (2007) 'Instability of the massive Klein-Gordon field on the Kerspacetime'. Physical Review Letters, 76 (084001).  
Dolan, S.R., Doran, C.J.L. and Lasenby, A.N. (2006) 'Fermion scattering by a Schwarzschild black hole'. Physical Review D, (74).  
Dr Konstantinos Drakakis
Drakakis, K., Gow, R., Rickard, S. (2007) 'Parity properties of Costas arrays defined via finite fields'. Advances in Mathematics of Communications, 1 (3):323-332.  
Drakakis, K. (2007) 'A note on the appearance of consecutive numbers amongst the set of winning numbers in Lottery'. Facta Universitatis: Mathematics and Informatics, 22 (1):1-10. Available Online  
Drakakis, K. (2007) 'Empirical Mode Decomposition of financial data'. International Journal of Mathematical Sciences, 6 (2). Available Online  
Drakakis, K. (2007) 'Analysis of financial data through signal processing techniques'. International Journal of Mathematical Sciences, 6 (2). Available Online  
Drakakis, K., Rickard, S., de Frein, R., Cichocki, A. (2007) 'Analysis of Financial Data using Non-Negative Matrix Factorization'. International Journal of Mathematical Sciences, 6 (2). Available Online  
Drakakis, K., Radulovic, D. (2007) 'A Discretized Version of the Self-Similar Model for Internet Traffic'. Journal of Computational Methods in Sciences and Engineering. Available Online  
Drakakis, K., Radulovic, D. (2007) 'On the burstiness of Internet traffic'. Applied Mathematical Sciences, 1 (9-12):571-602. Available Online  
Drakakis, K., Radulovic, D. (2007) 'On the multiresolution structure of Internet traffic traces'. International Journal of Mathematical Sciences. Available Online  
Drakakis, K. (2007) 'Data Mining and Costas Arrays'. Turkish Journal of Electrical Engineering & Computer Sciences, 15 (1):67-76. Available Online  
Drakakis, K. (2006) 'A review of Costas arrays'. Journal of Applied Mathematics, 2006 :1-32. Available Online  
Dr Mark Dukes
Dukes, M. (2007) 'Permutation statistics on involutions'. European J. Combin, 28 :186-198.  
Prof Nial Friel
Ridall, P.J., Pettitt, A.N., Friel, N., McCombe, P.A. and Henderson, R. (2007) 'Motor unit number estimation using reversible jump Markov chain Monte Carlo (with discussion)'. Applied Statistics, 56 :235-269.  
Friel. N. and Rue, H. (2007) 'Recursive computing for general factorizable models'. Biometrika, 9 :661-672.  
Dellaportas, P., Friel, N., and Roberts, G.O. (2006) 'Bayesian model selection for partially observed diffusion models'. Biometrika, 93 :809-825.  
Professor Stephen Gardiner
Gardiner, Stephen J., Netuka, Ivan (2007) 'Potential theory of the farthest point distance function'. Journal d`Analyse Mathématique, 101 :163-177.  
Gardiner, Stephen J., Hansen, Wolfhard (2007) 'The Riesz decomposition for finely superharmonic functions'. Advances in Mathematics, 214 :417-436.  
Gardiner, Stephen J., Sjödin, Tomas (2007) 'Quadrature domains for harmonic functions'. Bulletin of the London Mathematics Society, 39 :586-590.  
Dr Claire Gormley
Gormley, I.C. and Murphy, T.B. (2007) 'Discussion of `Model-based clustering for social networks.''. Journal of the Royal Statistical Society, Series A, B, 170 (Pt2):301-354.  
Gormley, I.C. and Murphy, T.B. (2006) 'Discussion of `Estimating the Integrated Likelihood via Posterior Simulation Using the Harmonic Mean Identity.'' Bayesian Statistics, 8 :1-45.  
Gormley, I.C. and Murphy, T.B. (2006) 'Analysis of Irish Third-Level College Applications'. Journal of the Royal Statistical Society, Series A, B, 169 (2):361-380. Available Online  
Gormley, I.C. and Murphy, T.B. (2006) 'A Latent Space Model For Rank Data'. Lecture Notes in Computer Science, 4503 .  
Murphy T.B. and Gormley I.C. (2006) 'Discussion of Haslett et al. `Bayesian paleoclimate reconstruction’'. Journal of the Royal Statistical Society, Series A, B, 169 (3):434-435.  
Professor Roderick Gow
Gow, R., Drakakis, K., Rickard, S. (2007) 'Parity properties of Costas arrays defned via finite fields'. Advances in Mathematics of Communications, 1 :321-330.  
Dr Marcus Greferath
Byrne, Eimear, Greferath, Marcus and O'Sullivan, Michael E. (2007) 'The Linear Programming bound for Codes over Finite Frobenius Rings'. Designs, Codes and Cryptography, (42):289-301.  
Greferath, Marcus, McGuire, Gary and O'Sullivan, Michael (2006) 'On Plotkin-Optimals Codes over Finite Frobenius Rings'. Journal of Algebra and its Applications, (5):799-815.  
Dr Russell Higgs
Higgs, R., Humphreys, J.F. (2006) 'A dual approach to alpha-regularity'. International Journal of Mathematics, Game Theory and A, 15 :117-122.  
Dr Remo Hugli
Hugli, RV. (2007) 'Collinear systems and normal contractive projections on JBW*-triples'. Integr Equat Oper Th, 58 :315-339.  
Dr Gabrielle E Kelly
Boughton, C., Egan, J., Kelly, G., Markey, B., Leonard, N., (2007) 'Rapid infection of pigs following exposure to environments contaminated with different levels of Salmonella typhimurium'. Foodborne Pathog Dis, 4 :33-40.  
Boughton, C., Egan, J., Kelly, G., Markey, B., Leonard, N., (2007) 'Quantitative examination of Salmonella spp. in the lairage environment of a pig abattoir'. Foodborne Pathog Dis, 4 :26-32.  
Professor Tom Laffey
Laffey, Thomas J. and Smigoc, Helena (2007) 'Tensor conditions for the existence of a common solution to the Lyapunov equation'. Linear Algebra and Its Applications, 420 :672-685.  
Laffey, Thomas J. and Smigoc, Helena (2007) 'Common solutions to the Lyapunov equation for 2x2 complex matrices'. Linear Algebra and Its Applications, 420 :609-624.  
Laffey, Thomas J. and Smigoc, Helena (2007) 'Construction of nonnegative symmetric matrices with given spectrum'. Linear Algebra and Its Applications, 421 :97-109.  
Laffey, Thomas J. and Smigoc, Helena (2007) 'Spectra of principal'. Linear Algebra and Its Applications.  
Professor David W Lewis
Lewis, D. & DeWannemacker, S. (2007) 'Structure Theorems for AP-rings'. Journal of Algebra, 144-158.  
Professor Peter Lynch
Bokhove, O. and Lynch, Peter (2007) 'Air parcels and air particles: Hamiltonian dynamics'. Nieuw Arch. Wisk, 5/8 (2):100-106.  
Dr Michael Mackey
Mackey, Michael, Sevilla-Peris, Pablo, Vallejo, José A. (2006) 'Composition operators on weighted spaces of holomorphic functions on JB-triples'. Letters in Mathematical Physics, 76 (1):19-26.  
Professor Gary McGuire
Bracken, Carl, McGuire, Gary (2007) 'Duals of quasi-3 designs are not necessarily quasi-3'. Designs, Codes and Cryptography, 44.  
Lahtonen, Jyrki, McGuire, Gary, Ward, Harold (2007) 'Gold and Kasami-Welch Functions, Quadratic Forms, and Bent Functions'. Advances in Mathematics of Communications, 1 (2).  
Bracken, Carl, McGuire, Gary and Ward, Harold (2006) 'New Quasi-Symmetric Designs Constructed using Mutually Orthogonal Latin Squares and Hadamard Matrices'. Designs, Codes and Cryptography, 41.  
Greferath, Marcus, McGuire, Gary, O'Sullivan, Michael E. (2006) 'Plotkin-Optimal Codes over Finite Frobenius Rings'. Journal of Algebra and its Applications, 5.  
Dr Patrick Murphy
Organo, C. and Murphy, P. (2007) 'The Castleisland Radon Survey - Follow-up to the discovery of a house with extremely high radon concentrations in County Kerry'. Journal of Radiological Protection, 27 :275-286.  
Murphy, P. (2006) 'Statistics = State Arithmetic: Can academic statisticians reconnect with their roots?'. Journal of The Royal Statistical Society, Series A, B.  
Dr Zoltan Neufeld
Torney, C.,Neufeld, Z. (2007) 'Transport and aggregation of self-propelled particles in fluid flows'. Physical Review Letters, 99 (7).  
Dr Robert Osburn
Moree P., and Osburn, R. (2006) 'Two-dimensional lattices with few distances'. L'Enseignement Mathématique, 52 :361-380.  
Professor Joe Pule
Dorla, T.C., Dobrovolny, C., Pule, J.V. (2007) 'Lowest Lyapunov exponents for the armchair nanotubes'. Markov Process. Related Fields, 13 :331-390.  
Pule J.V., Zagrebnov, A. (2007) 'Proof of the variational principle for a pair Hamiltonian boson model'. Review of Mathematical Physics, 19 :157-194.  
Dr Tomas Sjodin
Sjodin, T. (2007) 'On the structure of partial balayage'. Nonlinear Analysis-Theory Methods & Applications, 67 (1):94-102.  
Dr Vitaly Skachek
Ashikhmin, A., Skachek, V. (2006) 'Decoding of Expander Codes at Rates Close to Capacity'. IEEE Transactions on Information Theory, 52 :5475-5485.  
Dr Helena Smigoc
Laffey, T.J. and Šmigoc, H. (2007) 'Tensor condition for the existence of a common quadratic solution to the Lyapunov equation'. Linear Algebra and Its Applications, 420 :672-685.  
Laffey, T.J. and Šmigoc, H. (2007) 'Construction of nonnegative symmetric matrices with given spectrum'. Linear Algebra and Its Applications, 421 :97-109.  
Laffey, T.J. and Šmigoc, H. (2007) 'Common solution to the Lyapunov equation for 2x2 complex matrices'. Linear Algebra and Its Applications, 420 :609-624.  
Dr Calvin Smith
Smith, CJ. (2007) 'An absolute quantum energy inequality for the Dirac field in curved spacetime'. Classical Quant Grav, 24 :4733-4750.  
Dr Joni Tammi
Tammi J. & Vainio R. (2006) 'Turbulence transmission in parallel relativistic shocks using ray tracing'. Astronomy & Astrophysics.  
Dr Milena Venkova
Venkova, M. (2007) 'Global Schauder decompositions of locally convex spaces'. Mathematica Scandinavica, 101 :65-82.  
Dr Shane Whelan
Whelan, S. (2007) 'Demographic trends and the future of pensions in the UK'. Journal of Statistical & Social Inquiry Society of Irl, XXXVI.  
Whelan, S. (2007) 'Valuing Ireland's Pension System'. Quarterly Economic Commentary, 55-80.  
Whelan, S. (2006) 'Trends in Mortality Statistics in Northern Ireland'. Journal of Statistical & Social Inquiry Society of Irl, XXXV.  
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Conference Publications


Dr Eimear Byrne
Byrne, E., Greferath, M. and O'Sullivan, M. (2007) Duality of ring-linear codes and a linear programming bound. Proceedings of the International Workshop on Coding and Cryptography (WCC07).  
Dr Sam Dolan
Casals, M., Dolan, S.R., Kanti, P., Winstanley, E. (2007) Brane decay of a (4+n)-Dimensional Rotating Black Hole. III: spin-1/2 particles. JHEP 03.  
Dr Konstantinos Drakakis
Rickard, S., Drakakis, K., Tsakalozos, N. (2006) Time-varying channel models efficiency. Eusipco.  
Drakakis, K., Radulovic, D. (2006) A Discretized Version of the Self-Similar Model for Internet Traffic. IEEE Ciss.  
Rickard, S., Drakakis, K., Tsakalozos, N. (2006) On the efficiency of time-varying channel models. IEEE Ciss.  
Drakakis, K., Gow, R., Rickard, S. (2006) On the parity populations of Welch-constructed Costas arrays. IEEE Ciss.  
Drakakis, K., Gow, R., O'Carroll, L. (2006) On some properties of Costas arrays generated via finite fields. IEEE Ciss.  
Drakakis, K. (2006) Data mining and Costas arrays. IEEE Ciss.  
Drakakis, K. (2006) Computer-assisted search for Costas arrays. IEE Issc.  
Prof Nial Friel
Friel, N. and Pettitt, A.N. (2007) Discussion of 'Nested Sampling' by J. Skilling . In: Bernardo, J.M. et al eds. Bayesian Statistics 8,  
Professor Stephen Gardiner
Gardiner, Stephen J., Netuka, Ivan (2007) The farthest point distance function. In: A. Carbery et al eds. Complex and Harmonic Analysis, 35 - 43.  
Gardiner, Stephen J. (2006) Radial limits of harmonic functions. In: H. Aikawa eds. Potential theory in Matsue, Tokyo, 43 - 51.  
Dr Marcus Greferath
Greferath, Marcus and Honold, Thomas (2006) Monomial Extension of Isometries between Codes over Z_m. Proceedings of the ACCT-10, Zvenigorod, Russia.  
Dr Laura Hitt
Hitt, Laura (2007) On the minimal embedding field. Pairing-based Cryptography -- Pairings 2007, 294 - 301.  
Dr Patrick Murphy
Murphy, P. (2006) Teaching an Introductory Statistics Course to Social Science Students: A Non-Standard Approach ICOTS7 Proceedings. IASE, 2006.  
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