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A spectral boundary integral method for inviscid water waves in a finite domain (2016)
Journal Article
Im, J., & Billingham, J. (2016). A spectral boundary integral method for inviscid water waves in a finite domain. International Journal for Numerical Methods in Fluids, 82(7), 437-448. https://doi.org/10.1002/fld.4225

In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite... Read More about A spectral boundary integral method for inviscid water waves in a finite domain.

Multicellular mathematical modelling of mesendoderm formation in amphibians (2016)
Journal Article
Brown, L., Middleton, A., King, J., & Loose, M. (2016). Multicellular mathematical modelling of mesendoderm formation in amphibians. Bulletin of Mathematical Biology, 78(3), 436-467. doi:10.1007/s11538-016-0150-8

The earliest cell fate decisions in a developing embryo are those associated with establishing the germ layers. The specification of the mesoderm and endoderm is of particular interest as the mesoderm is induced from the endoderm, potentially from an... Read More about Multicellular mathematical modelling of mesendoderm formation in amphibians.

Neural field models with threshold noise (2016)
Journal Article
Thul, R., Coombes, S., & Laing, C. R. (2016). Neural field models with threshold noise. Journal of Mathematical Neuroscience, 6, Article 3. https://doi.org/10.1186/s13408-016-0035-z

The original neural field model of Wilson and Cowan is often interpreted as the averaged behaviour of a network of switch like neural elements with a distribution of switch thresholds, giving rise to the classic sigmoidal population firing-rate funct... Read More about Neural field models with threshold noise.

Hierarchical Bayesian modelling of variability and uncertainty in synthetic action potential traces (2016)
Journal Article
Johnstone, R. H., Bardenet, R., Gavaghan, D. J., Polonchuk, L., Davies, M. R., & Mirams, G. R. (2016). Hierarchical Bayesian modelling of variability and uncertainty in synthetic action potential traces. Computing in cardiology, 43, 1089-1092

© 2016 CCAL. There are many sources of uncertainty in the recording and modelling of membrane action potentials (APs) from cardiomyocytes. For example, there are measurement, parameter, and model uncertainties. There is also extrinsic variability bet... Read More about Hierarchical Bayesian modelling of variability and uncertainty in synthetic action potential traces.

Quantum periods for 3-dimensional Fano manifolds (2016)
Journal Article
Coates, T., Corti, A., Galkin, S., & Kasprzyk, A. M. (2016). Quantum periods for 3-dimensional Fano manifolds. Geometry and Topology, 20(1), https://doi.org/10.2140/gt.2016.20.103

The quantum period of a variety X is a generating function for certain Gromov-Witten invariants of X which plays an important role in mirror symmetry. In this paper we compute the quantum periods of all 3-dimensional Fano manifolds. In particular we... Read More about Quantum periods for 3-dimensional Fano manifolds.

Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices (2016)
Journal Article
Truong, K., & Ossipov, A. (2016). Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices. Journal of Physics A: Mathematical and Theoretical, 49(14), https://doi.org/10.1088/1751-8113/49/14/145005

We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=W\tilde{H}W$, where $\tilde{H}$ is a random matrix from the Gaussian unitary ensemble and W is a deterministic diagonal matrix with positive entries. Using the supe... Read More about Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices.

Entanglement quantification made easy: polynomial measures invariant under convex decomposition (2016)
Journal Article
Regula, B., & Adesso, G. (2016). Entanglement quantification made easy: polynomial measures invariant under convex decomposition. Physical Review Letters, 116, Article 070504. https://doi.org/10.1103/PhysRevLett.116.070504

Quantifying entanglement in composite systems is a fundamental challenge, yet exact results are only available in few special cases. This is because hard optimization problems are routinely involved, such as finding the convex decomposition of a mixe... Read More about Entanglement quantification made easy: polynomial measures invariant under convex decomposition.

Assisted distillation of quantum coherence (2016)
Journal Article
Chitambar, E., Streltsov, A., Rana, S., Bera, M. N., Adesso, G., & Lewenstein, M. (2016). Assisted distillation of quantum coherence. Physical Review Letters, 116(7), https://doi.org/10.1103/PhysRevLett.116.070402

We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent operations are a... Read More about Assisted distillation of quantum coherence.

Slowly rotating black holes in Einstein-æther theory (2016)
Journal Article
Barausse, E., Sotiriou, T. P., & Vega, I. (2016). Slowly rotating black holes in Einstein-æther theory. Physical Review D, 93(4), Article 44044. https://doi.org/10.1103/PhysRevD.93.044044

We study slowly rotating, asymptotically flat black holes in Einstein-æther theory and show that solutions that are free from naked finite area singularities form a two-parameter family. These parameters can be thought of as the mass and angular mome... Read More about Slowly rotating black holes in Einstein-æther theory.

Adaptive energy minimisation for hp-finite element methods (2016)
Journal Article
Houston, P., & Wihler, T. P. (2016). Adaptive energy minimisation for hp-finite element methods. Computers and Mathematics with Applications, 71(4), https://doi.org/10.1016/j.camwa.2016.01.002

This article is concerned with the numerical solution of convex variational problems. More precisely, we develop an iterative minimisation technique which allows for the successive enrichment of an underlying discrete approximation space in an adapti... Read More about Adaptive energy minimisation for hp-finite element methods.

Layer methods for stochastic Navier–Stokes equations using simplest characteristics (2016)
Journal Article
Milstein, G., & Tretyakov, M. (2016). Layer methods for stochastic Navier–Stokes equations using simplest characteristics. Journal of Computational and Applied Mathematics, 302, https://doi.org/10.1016/j.cam.2016.01.051

We propose and study a layer method for stochastic Navier-Stokes equations (SNSE) with spatial periodic boundary conditions and additive noise. The method is constructed using conditional probabilistic representations of solutions to SNSE and exploit... Read More about Layer methods for stochastic Navier–Stokes equations using simplest characteristics.

Abstract Swiss cheese space and classicalisation of Swiss cheeses (2016)
Journal Article
Feinstein, J., Morley, S., & Yang, H. (2016). Abstract Swiss cheese space and classicalisation of Swiss cheeses. Journal of Mathematical Analysis and Applications, 438(1), 119-141. https://doi.org/10.1016/j.jmaa.2016.02.004

Swiss cheese sets are compact subsets of the complex plane obtained by deleting a sequence of open disks from a closed disk. Such sets have provided numerous counterexamples in the theory of uniform algebras. In this paper, we introduce a topological... Read More about Abstract Swiss cheese space and classicalisation of Swiss cheeses.

Localized single frequency lasing states in a finite parity-time symmetric resonator chain (2016)
Journal Article
Phang, S., Vukovic, A., Creagh, S. C., Sewell, P., Gradoni, G., & Benson, T. M. (2016). Localized single frequency lasing states in a finite parity-time symmetric resonator chain. Scientific Reports, 6, Article e20499. https://doi.org/10.1038/srep20499

In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part of the mate... Read More about Localized single frequency lasing states in a finite parity-time symmetric resonator chain.

Dynamical phase transitions as a resource for quantum enhanced metrology (2016)
Journal Article
Macieszczak, K., Gu??, M., Lesanovsky, I., & Garrahan, J. P. (2016). Dynamical phase transitions as a resource for quantum enhanced metrology. Physical Review A, 93(2), Article 022103. https://doi.org/10.1103/PhysRevA.93.022103

We consider the general problem of estimating an unknown control parameter of an open quantum system. We establish a direct relation between the evolution of both system and environment and the precision with which the parameter can be estimated. We... Read More about Dynamical phase transitions as a resource for quantum enhanced metrology.

Reproduction numbers for epidemic models with households and other social structures II: comparisons and implications for vaccination (2016)
Journal Article
Ball, F., Pellis, L., & Trapman, P. (2016). Reproduction numbers for epidemic models with households and other social structures II: comparisons and implications for vaccination. Mathematical Biosciences, 274, https://doi.org/10.1016/j.mbs.2016.01.006

In this paper we consider epidemic models of directly transmissible SIR (susceptible - infective - recovered) and SEIR (with an additional latent class) infections in fully-susceptible populations with a social structure, consisting either of househo... Read More about Reproduction numbers for epidemic models with households and other social structures II: comparisons and implications for vaccination.

Stochastic simplified modelling of abrasive waterjet footprints (2016)
Journal Article
Torrubia, P. L., Billingham, J., & Axinte, D. A. (2016). Stochastic simplified modelling of abrasive waterjet footprints. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2186), https://doi.org/10.1098/rspa.2015.0836

Abrasive micro-waterjet processing is a non-conventional machining method that can be used to manufacture complex shapes in difficult-to-cut materials. Predicting the effect of the jet on the surface for a given set of machi... Read More about Stochastic simplified modelling of abrasive waterjet footprints.