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UCD School of Mathematical Sciences

'Solid Gold'. Image by Dr Mícheál Ó Searcóid.

'Solid Gold'. Image by Dr Mícheál Ó Searcóid.

UCD School of Mathematical Sciences - Research Publications 2008/09

Below is the list of research publications for the UCD School of Mathematical Sciences in the academic year 2008/09




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Peer Reviewed Journals
Dr Vincent Astier
Astier, V. and Unger, T. (2008) 'A Hermitian analogue of the Bröcker-Prestel theorem'. Indagationes Mathematicae .  
Dr Christopher Boyd
Boyd C. & Rueda P. (2009) 'Isometries of weighted spaces of holomorphic functions on unbounded domains'. Proceedings of Royal Society Edinburgh, Section A, 139A :253-271.  
Boyd C. & Rueda P. (2009) 'Isometries between spaces of Weighted Holomorphic Functions'. Studia Mathematica, 190 (3):203-231.  
Dr Miguel David Bustamante
Bustamante, M. D. and Kartashova, E. (2009) 'Dynamics of nonlinear resonances in Hamiltonian systems'. Europhysics Letters, 85 (14004).  
Cartes, C., Bustamante, M. D., Pouquet, A. and Brachet, M. (2009) 'Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD'. Fluid Dynamics Research, 41 (011404).  
Bustamante, M. D. and Kartashova, E. (2009) 'Effect of the dynamical phases on the nonlinear amplitudes' evolution'. Europhysics Letters, 85 (34002).  
Dr Eimear Byrne
Bernard Blümich, Qingxia Gong, Eimear Byrne, Marcus Greferath (2009) 'NMR with excitation modulated by Frank sequences'. Journal of Magnetic Resonance, 199 (1):18-24.  
C. Bracken, E. Byrne, N. Markin, G. McGuire (2009) 'Fourier Spectra of Binomial APN Functions'. SIAM Journal of Discrete Mathematics, 23 (2):596-608.  
Dr Rodrigo Caballero
Caballero, R., and B. T. Anderson (2009) 'Impact of midlatitude stationary waves on regional Hadley cells and ENSO'. Geophysical Research Letters, 36 .  
Mitchell, J. L., Pierrehumbert, R. T., Frierson, D. M. W., and R. Caballero (2009) 'The impact of methane thermodynamics on seasonal convection and circulation in a model Titan atmosphere'. Icarus, 203 :250-264.  
Professor Frederic Dias
Chardard, F., Dias, F. and Bridges, T.J. (2009) 'On the Maslov index of multi-pulse homoclinic orbits'. Proceedings of the Royal Society of London - A, 465 :2897-2910.  
Binder, B.J., Vanden-Broeck, J.M. and Dias, F. (2009) 'On satisfying the radiation condition in free-surface flows'. Journal of Fluid Mechanics, 624 :179-189.  
Lafargue, C., et al., (2009) 'Direct detection of optical rogue wave energy statistics in supercontinuum generation'. Electronics Letters, 45 (4):217-219.  
Christodoulides, P. and Dias, F. (2009) 'Impact of a rising stream on a horizontal plate of finite extent'. Journal of Fluid Mechanics, 621 :243-258.  
Dutykh, D. and Dias, F. (2009) 'Energy of tsunami waves generated by bottom motion'. Proceedings of the Royal Society of London - A, 465 :725-744.  
Nguyen, H.Y. and Dias, F. (2008) 'A Boussinesq system for two-way propagation of interfacial waves'. Physica D: Nonlinear Phenomena, 237 :2365-2389.  
Dr Christopher Ford
Christopher Ford (2008) 'Magnetic QED'. Journal of Physics A, 41 .  
Professor Nial Friel
N. Friel, A.N. Pettitt, R. Reeves, E. Wit (2009) 'Bayesian Inference in Hidden Markov Random Fields for Binary Data Defined on Large Lattices'. Journal of Computational and Graphical Statistics, 18 (2):243-261. Available Online  
M. Salter-Townshend, J. Haslett, N. Friel (2009) 'Discussion of `Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations' by Rue, Martino and Chopin.  '. Journal of the Royal Statistical Society, Series B, 71 .  
Professor Stephen Gardiner
Gardiner, Stephen J.; Carroll, Tom (2008) 'Lipschitz continuity of the Green function in Denjoy domains'. Arkiv for Matematik, 46 :271-283.  
Dr Marius Ghergu
Pres, J and Ghergu, M (2009) ' Positive harmonic functions that vanish on a subset of a cylindrical surface '. Potential Analysis, 31 (2):147-181.  
Ghergu, M (2009) 'Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition'. Transactions of the American Mathematical Society, 361 (8):3953-3976.  
Ghergu, M (2009) 'Large time behavior of solutions to degenerate parabolic equations with weights'. Journal of Mathematical Analysis and Applications, 352 (1):132-138.  
Ghergu, M (2009) 'On the global solutions to a class of strongly degenerate parabolic equations'. Nonlinear Analysis-Theory Methods & Applications, 70 (3):1430-1442.  
Ghergu, M and Radulescu, V (2008) 'A singular Gierer-Meinhardt system with different source terms'. Proceedings of Royal Society Edinburgh, Section A, 138 (6):1215-1234.  
Ghergu, M (2008) 'Non-constant steady-state solutions for Brusselator system'. Nonlinearity, 21 (10):2331-2345.  
Dr Claire Gormley
Brennan, S.A., Harty, J.A., Gormley, I.C. and O'Rourke, S.K. (2009) 'Comparison of acetabular reamings during hip resurfacing versus uncemented total hip arthroplasty'. Journal of Orthopaedic Surgery, 17 (1):42-46. Available Online  
Gormley, I.C. and Murphy, T.B. (2008) 'Exploring Voting Blocs within the Irish Electorate: A Mixture Modeling Approach'. Journal of the American Statistical Association, 103 (483):1014-1027.  
Dr Gabrielle E Kelly
G.E. Kelly, J. Condon, S. J. More, L. Dolan, I. Higgins and J. Eves (2008) 'A long-term observational study of the impact of badger removal on herd restrictions due to bovine TB in the Irish midlands during 1989-2004'. Epidemiology and Infection, 136 :1362-1373. Available Online  
Professor Peter Lynch
Wim Verkley and Peter Lynch (2009) 'Energy and enstrophy spectra of geostrophic turbulent flows derived from a maximum entropy principle'. Journal of the Atmospheric Sciences, 66 (8):2216-2236. Available Online  
Peter Lynch (2009) 'On Resonant Rossby-Haurwitz triads'. Tellus, 61A :438-445. Available Online  
Semmler, T., S. Varghese, R. McGrath, P. Nolan, S. Wang, P. Lynch and C O'Dowd C (2008) 'Regional model simulation of North Atlantic cyclones: Present climate and idealized response to increased sea surface temperature'. Journal of Geophysical Research Atmospheres, .  
Lynch, Peter & Owen Lynch (2008) ' Forecasts by PHONIAC'. Weather, 63 (11):324-326. Available Online  
Peter Lynch and Gérard De Moor (2008) 'Les origines de la prévision numérique du temps et de la modélisation climatique'. La Meteorologie, 63 :14-24. Available Online  
Dr Michael Mackey
Mackey, M. (2009) 'Homotopes of JB*-triples and a Russo-Dye theorem'. Asian-European Journal of Mathematics, 2 (3):465-476. Available Online  
Dr Patrick Murphy
Hardiman, N., Murphy, P. and Burke, O. (2008) 'The Politics of Economic Adjustment in a Liberal Market Economy: the Social Compensation Hypothesis Revisited'. Irish Political Studies, 23 (4).  
Murphy, P. and Organo, C. A (2008) 'Comparative Study of Lognormal, Gamma and Beta Modelling in Radon Mapping with Recommendations Regarding Bias, Sample Sizes and the Treatment of Outliers'. Journal of Radiological Protection, 28 :293-302.  
Professor Thomas Brendan Murphy
Gormley, I.C. and Murphy, T.B. (2009) 'A grade of membership model for rank data'. Bayesian Analysis, 4 (2):265-296.  
Gormley, I.C. and Murphy, T.B. (2008) 'A Mixture of Experts Model for Rank Data with Applications in Election Studies'. Annals of Applied Statistics, 2 (4):1452-1477.  
Galvin R., Murphy T.B., Cusack T. and Stokes E. (2008) 'The Impact of Increased Duration of Exercise Therapy on Functional Recovery Following Stroke — What Is the Evidence?'. Topics in Stroke Rehabilitation, 15 (4):365-377.  
Dr William McKiver
McKiver, W. J. & Neufeld, Z. (2009) 'The influence of turbulent advection on a phytoplankton ecosystem with nonuniform carrying capacity'. Physical Review E, 79 (6).  
Dr Zoltan Neufeld
William J. McKiver and Zoltan Neufeld (2009) 'Influence of turbulent advection on a phytoplankton ecosystem with nonuniform carrying capacity'. Physical Review E, 79 (6).  
Munoz-Garcia, J., Neufeld, Z. and Kholodenko, B. (2009) 'Positional Information Generated by Spatially Distributed Signaling Cascades'. PLoS Computational Biology, 5 (3).  
Dr Robert Osburn
K. Bringmann, J. Lovejoy and R. Osburn (2009) 'Rank and crank moments for overpartitions'. Journal of Number Theory, 129 (7):1758-1772.  
R. Osburn and J. Lovejoy (2009) 'M_2-rank differences for partitions without repeated odd parts'. Journal de Theorie des Nombres de Bordeaux, 21 (2):313-334.  
R. Osburn and C. Schneider (2009) 'Gaussian hypergeometric series and supercongruences'. Mathematics of Computation, 78 (265):275-292.  
Robert Osburn and Dermot McCarthy (2008) 'A p-adic analogue of a formula of Ramanujan'. Archiv der Mathematik, 91 (6):492-504.  
Professor Adrian Ottewill
Marc Casals, Sam Dolan, Adrian C. Ottewill, and Barry Wardell (2009) 'Self-force calculations with matched expansions and quasinormal mode sums'. Physical Review D, 79 (12):124043-1-124043-37.  
Marc Casals, Sam Dolan, Adrian Ottewill, Barry Wardell (2009) 'Pade Approximants of the Green Function in Spherically Symmetric Spacetimes'. Physical Review D, 79 (12):124044-1-124044-17.  
Ottewill, A. C., Wardell, B., (2009) 'Quasi-local contribution to the scalar self-force: Non-geodesic motion'. Physical Review D, 79 (2):024031-1-024031-10.  
Dr Andrew Parnell
Haslett, J and Parnell, A.C. (2008) 'A simple monotone process with application to radiocarbon-dateddepth chronologies'. Journal of the Royal Statistical Society: Series C (Applied Statistics), 57 (4):399-418.  
Dr Hermann Render
J.M. Aldaz, O. Kounchev, H. Render (2009) 'Bernstein operators for exponential polynomials'. Constructive Approximation, 29 :345-367.  
H. Render (2008) 'Reproducing kernels for polyharmonic polynomials'. Archiv der Mathematik, 91 :136-144.  
P. Ebenfelt, H. Render (2008) 'The Goursat Problem for a Generalized Helmholtz Operator in the plane'. Journal D`Analyse Mathematique, 105 :149-168.  
Dr Richard Smith
Smith, R.J. (2009) 'Gruenhage compacta and strictly convex dual norms'. Journal of Mathematical Analysis and Applications, 350 (2):745-757.  
Dr Thomas Unger
Klep, I and Unger, T (2009) 'The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution'. Oberwolfach Reports, 6 (2):1388-1390.  
Lewis, D.W. and Unger, T. (2008) 'Hermitian Morita theory: a matrix approach'. Irish Mathematical Society Bulletin, 62 :37-41.  
Astier, V. and Unger, T. (2008) 'A hermitian analogue of the Bröcker-Prestel theorem'. Indagationes Mathematicae-New Series, 19 (3):349-358.  
Dr Sander Pieter Zwegers
Sander Zwegers (2009) 'The Folsom-Ono grid contains only integers'. Proceedings of the American Mathematical Society, 137 :1579-1584.  
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Conference Publications
Dr Eimear Byrne
E. Byrne, M. Greferath, A. Kohnert, V. Skachek (2009) Refined Bounds for Ring-Linear Codes . In: Peter Boyvalenkov eds. Sixth International Workshop on Optimal Codes and Related Topics, Varna, Bulgaria, 55 - 61  
Professor Stephen Gardiner
Gardiner, S. J. and Sjödin, T. (2009) Partial balayage and the exterior inverse problem of potential theory Potential theory and stochastics in Albac, 111 - 123  
Gardiner, S. J. and Sjödin, T. (2009) Potential theory in Denjoy domains Analysis and Mathematical Physics, 143 - 166  
Dr Maria Meehan
Meehan, M. (2009) The Undergraduate Ambassadors Scheme in Ireland Campus Engage International Conference,  
Dr Patrick Murphy
Patrick Murphy (2009) Where Next for Statistics Education? 2009 International Association for Statistics Education Satellite Conference,  
Patrick Murphy (2009) Methods to Enhance Student Learning of Statistics 2009 International Statistical Institute,  
Orlaith Burke, Patrick Murphy, Stephanie Long, David Fenton and Catherine Organo (2009) Modelling Seasonal Effects in Radon Emissions Data 2009 Joint Statistical Meetings,  
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Published Reports
Dr Gabrielle E Kelly
Kelly, G.E. (2009) Notes on H-likelihood. UCD, University College Dublin.  
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