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'Makes you think!'. Image by Dr Ian Reid. 
Below is the list of research publications for the UCD School of Mathematical Sciences in the academic year 2010/11
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| Professor Peter Lynch | |
| Peter Lynch (2010) Rambling Round Ireland: A Commodius Vicus of Recirculation. Dublin: Liffey Press. | |
| Dr Thomas Unger | |
| Knebusch, M. (Author) and Unger, T. (Translator) (2010) Specialization of Quadratic and Symmetric Bilinear Forms. London: Springer. | |
| Professor Peter Lynch | |
| Rodrigo Caballero and Peter Lynch (2011) 'Climate modelling and deep-time climate change' In: Trevor Hodkinson, Mike Jones, John Parnell and Steve Waldren (eds). Climate Change, Ecology and Systematics. Cambridge: Cambridge University Press. | |
| Peter Lynch (2011) 'From Richardson to Early Numerical Weather Prediction' In: Leo Donner, Wayne Schubert, Richard Somerville (eds). The Development of Atmospheric General Circulation Models: Complexity, Synthesis and Computation. United Kingdom: Cambridge University Press (ISBN-13: 9780521190060). | |
| Dr Vincent Astier | |
| Astier, V. and Mariano, H. (2011) 'Realizing profinite reduced special groups'. Pacific Journal of Mathematics . | |
| Dr Miguel Bustamante | |
| Miguel D. Bustamante (2011) '3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis'. Physica D: Nonlinear Phenomena, 240 (13):1092-1099. | |
| E. Kartashova and M. D. Bustamante (2011) 'Commun. Comput. Phys. 10, 1211-1240, Resonance clustering in wave turbulent regimes: Integrable dynamics'. . | |
| Professor Frederic Dias | |
| Dias, F,Vanden-Broeck, JM (2011) 'Potential-flow studies of steady two-dimensional jets, waterfalls, weirs and sprays'. Journal of Engineering Mathematics, 70 :165-174. | |
| Chardard, F,Dias, F,Nguyen, HY,Vanden-Broeck, JM (2011) 'Stability of some stationary solutions to the forced KdV equation with one or two bumps'. Journal of Engineering Mathematics, 70 :175-189. | |
| Chardard, F,Dias, F,Bridges, TJ (2011) 'Computing the Maslov index of solitary waves, Part 2: Phase space with dimension greater than four'. Physica D, 240 :1334-1344. | |
| Stefanakis, TS,Dias, F,Dutykh, D (2011) 'Local Run-Up Amplification by ResonantWave Interactions'. Physical Review Letters, 107 . | |
| Dutykh, D., Poncet, R. and Dias, F. (2011) 'The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation'. European Journal of Mechanics - B/Fluids, 30 :598-615. | |
| Kuznetsov, E.A. and Dias, F. (2011) 'Bifurcations of solitons and their stability'. Physics Reports, 507 :43-105. | |
| Papadimitrakis, I.A. and Dias, F. (2011) 'Occurrence and breaking of extreme waves in deep water. A stochastic approach revisit'. The Open Ocean Engineering Journal, 4 :15-23. | |
| Dudley, J.M. et al., (2010) 'Extreme events in optics: Challenges of the MANUREVA project'. The European Physical Journal - Special Topics, 185 :125-133. | |
| Professor Nial Friel | |
N. Friel, A.N. Pettitt (2011) 'Classification using distance nearest neighbours'. Statistics and Computing, 21 (3):431-437. ![]() |
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| M. Hall, N. Friel (2011) 'Mortality Projections using Generalized Additive Models with applications to annuity values for the Irish population'. Annals of Actuarial Science, 5 :19-32. | |
| H. Wang, N. Friel, F. Gosselin and P. Schyns (2011) 'Efficient bubbles for visual categorization tasks'. Vision Research, 51 :1318-1323. | |
A. Caimo and N. Friel (2011) 'Bayesian inference for exponential random graph models'. Social Networks, 33 :41-55. ![]() |
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| Professor Stephen Gardiner | |
| Gardiner, Stephen J. (2011) 'Coincidence of harmonic and finely harmonic functions'. Potential Analysis, 34 (1):81-88. | |
| Gardiner, Stephen J. (2010) 'Sets of determination for the Nevanlinna class'. Bulletin of the London Mathematical Society, 42 (6):1115-1120. | |
| Gardiner, Stephen J. (2010) 'Finely continuously differentiable functions'. Mathematische Zeitschrift, 266 (4):851-861. | |
| Stephen J. Gardiner (2010) 'Potential theory in the exterior of a cylindrical set'. Indiana University Mathematics Journal, 59 (5):1777-1792. | |
| Dr Marius Ghergu | |
Ghergu, M., Moradifam, A. and Taliaferro, S.D. (2011) 'Isolated singularities of polyharmonic inequalities'. JOURNAL OF FUNCTIONAL ANALYSIS, 261 (3):660-680. ![]() |
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Ghergu, M. (2011) 'A Lane-Emden system with singular data'. Proceedings of Royal Society Edinburgh, Section A, 141 (6):1279-1294. ![]() |
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| Ghergu, M. and Radulescu, V. (2010) 'Turing patterns in a general Brusselator system'. Communications in Contemporary Mathematics, 12 (5):661-679. | |
| Dr Claire Gormley | |
| Nyamundanda, G., Brennan, L and Gormley, I.C. (2010) 'Probabilistic principal component analysis for metabolomic data'. BMC Bioinformatics, 11 (571). | |
| Morine MJ, McMonagle J, Toomey S, Reynolds CM, Moloney AP, Gormley IC, O Gaora P, Roche HM (2010) 'Bi-directional gene set enrichment and canonical correlation analysis identify key diet-sensitive pathways and biomarkers of metabolic syndrome'. BMC Bioinformatics, 11 (1). | |
| Dr Gabrielle E Kelly | |
| Kelly, G.E. and More, S.J. (2011) 'Spatial clustering of TB-infected cattle herds prior to and following proactive badger removal'. Epidemiology & Infection, 139 (8):1220-1229. | |
| Professor Peter Lynch | |
| Nolan, P., P. Lynch and C. Sweeney (2011) 'Simulating Climate Change and its Effects on the Wind Energy Resource of Ireland'. Wind Energy . | |
| Colm Clancy & Peter Lynch (2011) 'Laplace transform integration of the shallow water equations. Part 2: Lagrangian formulation and orographic resonance'. Quarterly Journal Of The Royal Meteorological Society, 137 :800-809. | |
| Colm Clancy & Peter Lynch (2011) 'Laplace transform integration of the shallow water equations. Part 1: Eulerian formulation and Kelvin waves'. Quarterly Journal Of The Royal Meteorological Society, 137 :792-799. | |
| Dr Michael Mackey | |
| Hoffmann, Philipp and Mackey, Michael and Ó Searcóid, Mícheál (2011) 'On the second parameter of an $(m,p)$-isometry'. Integral Equations and Operator Theory, 71 :389-405. | |
| Professor Gary McGuire | |
| O'Connor, LH,McGuire, G,Naehrig, M,Streng, M (2011) 'A CM construction for curves of genus 2 with p-rank 1'. Journal of Number Theory, 131 :920-935. | |
| Gologlu, F,McGuire, G,Moloney, R (2011) 'Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula'. Acta Arithmetica, 148 :269-279. | |
| Hernando, F,McGuire, G (2011) 'Proof of a conjecture on the sequence of exceptional numbers, classifying cyclic codes and APN functions'. Journal of Algebra, 343 :78-92. | |
| Dr Patrick Murphy | |
| Burke, O,Murphy, P (2011) 'The use of volunteer radon measurements for radon mapping purposes: an examination of sampling bias issues'. Journal of Radiological Protection, 31 :319-328. | |
| Professor Thomas Murphy | |
| Stokes, EK, O'Connell, C and Murphy, B (2011) 'An investigation into fatigue post stroke and its multidimensional nature'. Advances in Physiotherapy, 13 (1):2-10. | |
| Fan, Y., Murphy, T.B., Byrne, J., Brennan, L., Fitzpatrick, J. and Watson, R.W.G. (2011) 'Applying Random Forests to identify biomarker panels in serum 2D-DIGE data for the detection and staging of prostate cancer'. Journal of Proteome Research, 10 (3):1361-1373. | |
| Arnold, J.A., Saldova, R., Galligan, M.C., Murphy, T.B., Mimura-Kimura, Y., Telford, J.E., Godwin, A.K., Rudd, P. M. (2011) 'Novel Glycan Biomarkers for the Detection of Lung Cancer'. Journal of Proteome Research, 10 (4):1755-1764. | |
Galvin, R., Cusack, T., O'Grady, E., Murphy, T.B., Stokes, E. (2011) 'Family mediated exercise intervention [FAME]: evaluation of a novel form of exercise delivery after stroke'. Stroke, 42 :681-686. ![]() |
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| Toher, D., Downey, G. and Murphy, T.B. (2011) 'Semi-Supervised Linear Discriminant Analysis'. Journal of Chemometrics . | |
| Rowan, F., Docherty, N.G., Murphy, M., Murphy, T.B., Coffey, J.C. and O'Connell, P.R. (2010) 'Bacterial colonisation of colonic crypts correlates with disease activity in ulcerative colitis'. Annals of Surgery, 252 (5):869-875. | |
| Rowan, F., Docherty, N.G., Murphy, M., Murphy, T.B., Coffey, J.C. and O'Connell, P.R. (2010) 'Desulfovibrio bacterial species are increased in ulcerative colitis'. Diseases of the Colon and Rectum, 53 (11):1530-1536. | |
| McNicholas, P.D. and Murphy, T.B. (2010) 'Model-Based Clustering of Microarray Expression Data via Latent Gaussian Mixture Models'. Bioinformatics, 26 (21):2705-2712. | |
| Dr Zoltan Neufeld | |
| Cerone, L. and Munoz-Garcia, J. and Neufeld, Z. (2011) 'Integrating Multiple Signals into Cell Decisions by Networks of Protein Modification Cycles'. Biophysical Journal, 101 (7). | |
| Bruning U, Cerone L, Neufeld Z, Fitzpatrick SF, Cheong A, Scholz CC, Simpson DA, Leonard MO, Tambuwala MM, Cummins EP, Taylor CT (2011) 'MicroRNA-155 Promotes Resolution of Hypoxia-Inducible Factor-1{alpha} Activity During Prolonged Hypoxia''. Molecular Cell Biology, 31 . | |
| W McKiver and Z Neufeld (2011) 'Resonant plankton patchiness induced by large scale turbulent flow'. Physical Review E, 83 . | |
| Dr James O'Shea | |
| O'Shea, J (2011) 'Sums of squares in certain quaternion and octonion algebras'. Comptes Rendus Mathématique. Académie des Sciences. Paris, 349 :239-242. | |
| Dr Robert Osburn | |
| Osburn, R,Sahu, B (2011) 'Congruences via modular forms'. Proceedings of the American Mathematical Society, 139 :2375-2381. | |
| Osburn, R,Sahu, B (2011) 'Supercongruences for Apery-like numbers'. Advances in Applied Mathematics, 47 :631-638. | |
| D. Brink, P. Moree and R. Osburn (2011) 'Principal forms X^2 + nY^2 representing many integers'. 81 (2):129-139. | |
| Jeremy Lovejoy and Robert Osburn (2011) 'Quadratic forms and four partition functions modulo 3'. 11 (A4):47-53. | |
| Professor Adrian Ottewill | |
| Adrian C. Ottewill and Peter Taylor (2011) 'Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String'. Classical and Quantum Gravity, 28 . | |
| Dr Andrew Parnell | |
| Andrew L Jackson, Richard Inger, Andrew C Parnell, Stuart Bearhop (2011) 'Comparing isotopic niche widths among and within communities: Siber - stable isotope bayesian ellipses in R'. Journal of Animal Ecology, 80 :595-602. | |
| Dr Hermann Render | |
| E. Lundberg, H. Render (2011) 'The Khavinson-Shapiro Conjecture and Polynomial Decompositions'. J. Math. Analysis Appl, 376 :506-513. | |
| Dr Helena Smigoc | |
| Laffey, Thomas J. and \vSmigoc, Helena (2011) 'Simultaneous reduction of matrices in the presence of a nonderogatory matrix'. Submitted for publication . | |
| Dr Richard Smith | |
Smith, R.J. and Troyanski, S. (2010) 'Renormings of C(K) spaces'. Revista de la Real Academia de Ciencias Exactas, 104 (2):375-412. ![]() |
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| Dr Thomas Unger | |
| Pumplün, S. and Unger, T. (2011) 'Space-time block codes from nonassociative division algebras'. Advances in Mathematics of Communications, 5 (3):449-471. | |
| Dr Lennon Ó'Náraigh | |
| Lennon Ó Naraigh, Peter Spelt, Tamer Zaki (2011) 'Turbulent flow over a liquid layer rvisited: multi-equation turbulent modelling'. Journal of Fluid Mechanics . | |
| Lennon Ó Náraigh, Peter Spelt, Omar Matar, Tamer Zaki (2011) 'Interfacial instability in turbulent flow over a liquid film in a channel'. . | |
| Professor Peter Lynch | |
| Peter Lynch (2011) 'The Two-Child Paradox: Dichotomy and Ambiguity' Bulletin of the Irish Mathematical Society, 67 :67-73. | |
| Dr Maria Meehan | |
| Maria Meehan (2011) 'Real Numbers - engineering undergrads bring maths to life in the classroom' The Engineers Journal, 65 (3):179-181. | |
| Dr Eimear Byrne | |
| Eimear Byrne, Akiko Manada, Stevan Marinkovic, Emanuele Popovici (2011) A Graph Theoretical Approach for Network Coding in Wireless Body Area Networks Proceedings of the IEEE International Symposium on Information Theory (ISIT2011), St Petersburg, 469 - 463 | |
| Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbraegel (2011) Algebraic Decoding of Negacyclic Codes over Z4 . In: Daniel Augot and Anne Canteaut eds. Proceedings of the 7th International Workshop on Coding and Cryptography (WCC2011), 101 - 111 | |
| Eimear Byrne and Alison Sneyd (2011) On the Parameters of Codes with Two Homogeneous Weights . In: Daniel Augot and Anne Canteaut eds. Proceedings of the 7th International Workshop on Coding and Cryptography (WCC2011), Paris, 81 - 91 | |
| Dr Marius Ghergu | |
| Ghergu, M. (2011) Steady-state systems for a general Brusselator model . In: Ruzhansky, M. and Wirth, J eds. Modern Aspects of the Theory of Partial Differential Equations, 153 - 166 | |
| Dr Gabrielle E Kelly | |
| Gabrielle E. Kelly (2011) The change-point problem in regression with correlated data and change in variance . In: David Conesa, anabel Forte, Antonio Lopez-Quilez, Facundo Munoz eds. 26th International Workshop on Statistical Modelling, Valencia, Spain, 326 - 329 | |
Gabrielle E. Kelly (2011) Anisotropic spatial clustering of TB in cattle - the implications for control policy . In: Alfred Stein, Edzer Pebesma, Gerard Heuvelink eds. Procedia Environmental Sciences, Enschede, The Netherlands, 111 - 116 ![]() |
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| Professor Thomas Murphy | |
Galligan, M., Campbell, M.C., Saldova, R., Rudd, P.M. and Murphy, T.B. (2011) Application of Compositional Models for Glycan HILIC Data . In: Egozcue, J.J., Tolosana-Delgado, R. and Ortego, M.I eds. 4th International Workshop on Compositional Data Analysis, ![]() |
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Ali, A., Murphy, T.B., Carr, H. and Meila (2010) Preferences in college applications - a nonparametric Bayesian analysis of top-10 rankings NIPS Workshop on Computational Social Science and the Wisdom of Crowds, ![]() |
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| Dr Jens Zumbragel | |
| Bryne, E., Greferath, M., Pernas, J., and Zumbragel, J. (2011) Algebraic decoding of negacyclic codes over Z4 . In: Augot, D. and Canteaut, A eds. Seventh International Workshop on Coding and Cryptography (WCC 2011), Paris, France, 101 - 110 | |
| Mc Fadden, C., Greferath, M., and Zumbragel, J. (2011) Characteristics of invariant weights related to code equivalence over rings . In: Augot, D. and Canteaut, A eds. Seventh International Workshop on Coding and Cryptography (WCC 2011), Paris, France, 91 - 99 | |