Outputs (208)

On statistical testing and mean parameter estimation for zero-modification in count data regression (2016)
Presentation / Conference Contribution
Wilson, P., & Einbeck, J. (2016). On statistical testing and mean parameter estimation for zero-modification in count data regression. In J. F. Dupuy, & J. Josse (Eds.), Proceedings of the 31st International Workshop on Statistical Modelling. July 4-8, 2016, Rennes, France (327-332)

For the problem of testing for zero-modification in Poisson regression, a simple and intuitive test can be constructed by computing directly confidence intervals for the number of 0's under the Poisson assumption. This requires the ability of estimat... Read More about On statistical testing and mean parameter estimation for zero-modification in count data regression.

Totally null surfaces in neutral Kähler 4-manifolds (2016)
Journal Article
Georgiou, N., Guilfoyle, B., & Klingenberg, W. (2016). Totally null surfaces in neutral Kähler 4-manifolds. Balkan Journal of Geometry and its Applications, 21(1), 27-41

We study the totally null surfaces of the neutral Kähler metric on certain 4-manifolds. The tangent spaces of totally null surfaces are either self-dual (α-planes) or anti-self-dual (β-planes) and so we consider α-surfaces and β-surfaces. The metric... Read More about Totally null surfaces in neutral Kähler 4-manifolds.

Random dynamical systems with systematic drift competing with heavy-tailed randomness (2016)
Journal Article
Belitsky, V., Menshikov, M., Petritis, D., & Vachkovskaia, M. (2016). Random dynamical systems with systematic drift competing with heavy-tailed randomness. Markov processes and related fields, 22(4), 629-652

Motivated by the study of the time evolution of random dynamical systems arising in a vast variety of domains --- ranging from physics to ecology --- we establish conditions for the occurrence of a non-trivial asymptotic behaviour for these systems i... Read More about Random dynamical systems with systematic drift competing with heavy-tailed randomness.

Geometry of Solutions of Hitchin Equations on R^2 (2016)
Journal Article
Ward, R. (2016). Geometry of Solutions of Hitchin Equations on R^2. Nonlinearity, 29(3), Article 756. https://doi.org/10.1088/0951-7715/29/3/756

We study smooth SU(2) solutions of the Hitchin equations on ${{\mathbb{R}}^{2}}$ , with the determinant of the complex Higgs field being a polynomial of degree n. When $n\geqslant 3$ , there are moduli spaces of solutions, in the sense that the natur... Read More about Geometry of Solutions of Hitchin Equations on R^2.

New Quantum Obstructions to Sliceness (2016)
Journal Article
Lewark, L., & Lobb, A. (2016). New Quantum Obstructions to Sliceness. Proceedings of the London Mathematical Society, 112(1), 81-114. https://doi.org/10.1112/plms/pdv068

It is well known that generic perturbations of the complex Frobenius algebra used to define Khovanov cohomology each give rise to Rasmussen's concordance invariant ss. This gives a concordance homomorphism to the integers and a strong lower bound on... Read More about New Quantum Obstructions to Sliceness.

Elastic shape analysis of surfaces and images (2016)
Book Chapter
Kurtek, S., Jermyn, I., Xie, Q., & Klassen, E. (2016). Elastic shape analysis of surfaces and images. In P. K. Turaga, & A. Srivastava (Eds.), Riemannian computing and statistical inferences in computer vision (257-277). Springer Verlag. https://doi.org/10.1007/978-3-319-22957-7_12

We describe two Riemannian frameworks for statistical shape analysis of parameterized surfaces. These methods provide tools for registration, comparison, deformation, averaging, statistical modeling, and random sampling of surface shapes. A crucial p... Read More about Elastic shape analysis of surfaces and images.

Contact interactions between particle worldlines (2016)
Journal Article
Edwards, J. P. (2016). Contact interactions between particle worldlines. Journal of High Energy Physics, 2016(1), Article 33. https://doi.org/10.1007/jhep01%282016%29033

We construct contact interactions for bosonic and fermionic point particles. We first relate the resulting theories to classical electrostatics by taking functional averages over worldlines whose endpoints are fixed to charged particles. Counting tho... Read More about Contact interactions between particle worldlines.

Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras (2016)
Journal Article
Lawson, J. (2016). Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras. Electronic Journal of Combinatorics, 23(4), Article P4.41

Cluster automorphisms have been shown to have links to the mapping class groups of surfaces, maximal green sequences and to exchange graph automorphisms for skew-symmetric cluster algebras. In this paper we generalise these results to the skew-symmet... Read More about Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras.