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Hopf solitons in the Nicole model (2010)
Journal Article
Gillard, M., & Sutcliffe, P. (2010). Hopf solitons in the Nicole model. Journal of Mathematical Physics, 51(12), Article 122305. https://doi.org/10.1063/1.3525805

The Nicole model is a conformal field theory in a three-dimensional space. It has topological soliton solutions classified by the integer-valued Hopf charge, and all currently known solitons are axially symmetric. A volume-preserving flow is used to... Read More about Hopf solitons in the Nicole model.

Rejoinder - Galaxy Formation: a Bayesian Uncertainty Analysis (2010)
Journal Article
Vernon, I., Goldstein, M., & Bower, R. G. (2010). Rejoinder - Galaxy Formation: a Bayesian Uncertainty Analysis. Bayesian Analysis, 05(04), 697-708. https://doi.org/10.1214/10-ba524rej

We thank the discussants David Poole, Pritam Ranjan, Earl Lawrence, David Higdon, and David van Dyk for their commentaries on our paper, and for raising many interesting points for discussion, ranging from practical questions related to the imple- me... Read More about Rejoinder - Galaxy Formation: a Bayesian Uncertainty Analysis.

Recognizing trace graphs of closed braids (2010)
Journal Article
Fiedler, T., & Kurlin, V. (2010). Recognizing trace graphs of closed braids. Osaka Journal of Mathematics, 47(4), 885-909

To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetrahedral moves. For closed braids with a fixed numbe... Read More about Recognizing trace graphs of closed braids.

Galaxy Formation: a Bayesian Uncertainty Analysis (2010)
Journal Article
Vernon, I., Goldstein, M., & Bower, R. G. (2010). Galaxy Formation: a Bayesian Uncertainty Analysis. Bayesian Analysis, 05(04), 619-670. https://doi.org/10.1214/10-ba524

In many scientific disciplines complex computer models are used to understand the behaviour of large scale physical systems. An uncertainty anal- ysis of such a computer model known as Galform is presented. Galform models the creation and evolution o... Read More about Galaxy Formation: a Bayesian Uncertainty Analysis.

A bootstrap test for symmetry based on ranked set samples (2010)
Journal Article
Drikvandi, R., Modarres, R., & Jalilian, A. H. (2011). A bootstrap test for symmetry based on ranked set samples. Computational Statistics & Data Analysis, 55(4), 1807-1814. https://doi.org/10.1016/j.csda.2010.11.012

To test the hypothesis of symmetry about an unknown median we propose the maximum of a partial sum process based on ranked set samples. We discuss the properties of the test statistic and investigate a modified bootstrap ranked set sample bootstrap p... Read More about A bootstrap test for symmetry based on ranked set samples.

Kinetic mixing of U(1)’s for local string models (2010)
Journal Article
Bullimore, M., Conlon, J. P., & Witkowski, L. T. (2010). Kinetic mixing of U(1)’s for local string models. Journal of High Energy Physics, 2010(11), Article 142. https://doi.org/10.1007/jhep11%282010%29142

We study kinetic mixing between massless U(1)s in toroidal orbifolds with D3-branes at orbifold singularities. We focus in particular on C3/Z4 singularities but also study C3/Z6 and C3/Z′6 singularities. We find kinetic mixing can be present and desc... Read More about Kinetic mixing of U(1)’s for local string models.

Passage-time moments and hybrid zones for the exclusion-voter model (2010)
Journal Article
MacPhee, I. M., Menshikov, M. V., Volkov, S., & Wade, A. R. (2010). Passage-time moments and hybrid zones for the exclusion-voter model. Bernoulli (Andover), 16(4), 1312-1342. https://doi.org/10.3150/09-bej243

We study the non-equilibrium dynamics of a one-dimensional interacting particle system that is a mixture of the voter model and the exclusion process. With the process started from a finite perturbation of the ground state Heaviside configuration con... Read More about Passage-time moments and hybrid zones for the exclusion-voter model.

A theoretical and numerical study of a phase field higher-order active contour model of directed networks (2010)
Presentation / Conference Contribution
El Ghoul, A., Jermyn, I., & Zerubia, J. (2010, November). A theoretical and numerical study of a phase field higher-order active contour model of directed networks. Presented at 10th Asian Conference on Computer Vision, Queenstown

We address the problem of quasi-automatic extraction of directed networks, which have characteristic geometric features, from images. To include the necessary prior knowledge about these geometric features, we use a phase field higher-order active co... Read More about A theoretical and numerical study of a phase field higher-order active contour model of directed networks.