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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.

Mirror symmetry and the classification of orbifold del Pezzo surfaces (2016)
Journal Article
Akhtar, M., Coates, T., Corti, A., Heuberger, L., Kasprzyk, A. M., Oneto, A., …Tveiten, K. (2016). Mirror symmetry and the classification of orbifold del Pezzo surfaces. Proceedings of the American Mathematical Society, 144(2), 513-527. https://doi.org/10.1090/proc/12876

We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equival... Read More about Mirror symmetry and the classification of orbifold del Pezzo surfaces.

Variational water wave modelling: from continuum to experiment (2016)
Book Chapter
Bokhove, O., & Kalogirou, A. (2016). Variational water wave modelling: from continuum to experiment. In Lectures on the Theory of Water Waves (226-260). Cambridge University Press. https://doi.org/10.1017/CBO9781316411155.012

© Cambridge University Press 2016. Variational methods are investigated asymptotically and numerically to model water waves in tanks with wave generators. As a validation, our modelling results using (dis)continuous Galerkin finite element methods wi... Read More about Variational water wave modelling: from continuum to experiment.

Efficiency of inefficient endoreversible thermal machines (2016)
Journal Article
Palao, J. P., Correa, L. A., Adesso, G., & Alonso, D. (2016). Efficiency of inefficient endoreversible thermal machines. Brazilian Journal of Physics, 46(3), 282-287. https://doi.org/10.1007/s13538-015-0396-x

We present a study of the performance of endoreversible thermal machines optimized with respect to the thermodynamic force associated with the cold bath in the regime of small thermodynamic forces. These thermal machines can work either as an engine... Read More about Efficiency of inefficient endoreversible thermal machines.

Generating entanglement between two-dimensional cavities in uniform acceleration (2016)
Journal Article
Regula, B., Lee, A. R., Dragan, A., & Fuentes, I. (2016). Generating entanglement between two-dimensional cavities in uniform acceleration. Physical Review D, 93(2), Article 025034. https://doi.org/10.1103/physrevd.93.025034

Moving cavities promise to be a suitable system for relativistic quantum information processing. It has been shown that an inertial and a uniformly accelerated one-dimensional cavity can become entangled by letting an atom emit an excitation while it... Read More about Generating entanglement between two-dimensional cavities in uniform acceleration.

A Bayesian approach to analyzing phenotype microarray data enables estimation of microbial growth parameters (2016)
Journal Article
Gerstgrasser, M., Nicholls, S., Stout, M., Smart, K., Powell, C., Kypraios, T., & Stekel, D. J. (2016). A Bayesian approach to analyzing phenotype microarray data enables estimation of microbial growth parameters. Journal of Bioinformatics and Computational Biology, 14(03), 1-23. https://doi.org/10.1142/S0219720016500074

Biolog phenotype microarrays enable simultaneous, high throughput analysis of cell cultures in different environments. The output is high-density time-course data showing redox curves (approximating growth) for each experimental condition. The softwa... Read More about A Bayesian approach to analyzing phenotype microarray data enables estimation of microbial growth parameters.

Quantum thermodynamics for a model of an expanding Universe (2016)
Journal Article
Nana Liu, Goold, J., Fuentes, I., Vedral, V., Modi, K., & Bruschi, D. E. (2016). Quantum thermodynamics for a model of an expanding Universe. Classical and Quantum Gravity, 33(3), 035003. https://doi.org/10.1088/0264-9381/33/3/035003

We investigate the thermodynamical properties of quantum fields in curved spacetime. Our approach is to consider quantum fields in curved spacetime as a quantum system undergoing an out-of-equilibrium transformation. The non-equilibrium features are... Read More about Quantum thermodynamics for a model of an expanding Universe.

Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
Journal Article
Ashwin, P., Coombes, S., & Nicks, R. (2016). Mathematical frameworks for oscillatory network dynamics in neuroscience. Journal of Mathematical Neuroscience, 6, Article 2. https://doi.org/10.1186/s13408-015-0033-6

The tools of weakly coupled phase oscillator theory have had a profound impact on the neuroscience community, providing insight into a variety of network behaviours ranging from central pattern generation to synchronisation, as well as predicting nov... Read More about Mathematical frameworks for oscillatory network dynamics in neuroscience.

Exact Bayesian inference for the Bingham distribution (2016)
Journal Article
Fallaize, C. J., & Kypraios, T. (in press). Exact Bayesian inference for the Bingham distribution. Statistics and Computing, 26(1), https://doi.org/10.1007/s11222-014-9508-7

This paper is concerned with making Bayesian inference from data that are assumed to be drawn from a Bingham distribution. A barrier to the Bayesian approach is the parameter-dependent normalising constant of the Bingham distribution, which, even whe... Read More about Exact Bayesian inference for the Bingham distribution.

Vanishing of some Galois cohomology groups for elliptic curves (2016)
Book Chapter
Lawson, T., & Wuthrich, C. (2016). Vanishing of some Galois cohomology groups for elliptic curves. In D. Loeffler, & S. L. Zerbes (Eds.), Elliptic curves, modular forms and Iwasawa theory: in honour of John H. Coates' 70th birthday, Cambridge, UK, March 2015. Springer

Let E/Q be an elliptic curve and p be a prime number, and let G be the Galois group of the extension of Q obtained by adjoining the coordinates of the p-torsion points on E. We determine all cases when the Galois cohomology group H1(G;E[p] does not v... Read More about Vanishing of some Galois cohomology groups for elliptic curves.