All Outputs (159)

Limiting behaviour of Fréchet means in the space of phylogenetic trees (2016)
Journal Article
Barden, D., Le, H., & Owen, M. (2018). Limiting behaviour of Fréchet means in the space of phylogenetic trees. Annals of the Institute of Statistical Mathematics, 70(1), 99-129. https://doi.org/10.1007/s10463-016-0582-9

As demonstrated in our previous work on T4, the space of phylogenetic trees with four leaves, the topological structure of the space plays an important role in the non-classical limiting behaviour of the sample Fréchet means in T4. Nevertheless, the... Read More about Limiting behaviour of Fréchet means in the space of phylogenetic trees.

Accessible quantification of multiparticle entanglement (2016)
Journal Article
Cianciaruso, M., Bromley, T. R., & Adesso, G. (2016). Accessible quantification of multiparticle entanglement. npj Quantum Information, 2(1), Article 16030. https://doi.org/10.1038/npjqi.2016.30

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology and life sciences. For arbitrary multiparticle systems, entan... Read More about Accessible quantification of multiparticle entanglement.

Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator (2016)
Journal Article
Silva, I. A., Souza, A. M., Bromley, T. R., Cianciaruso, M., Marx, R., Sarthour, R. S., …Adesso, G. (2016). Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator. Physical Review Letters, 117(16), https://doi.org/10.1103/PhysRevLett.117.160402

The ability to live in coherent superpositions is a signature trait of quantum systems and constitutes an irreplaceable resource for quantum-enhanced technologies. However, decoherence effects usually destroy quantum superpositions. It has been recen... Read More about Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator.

Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models (2016)
Journal Article
Kalogirou, A., Cîmpeanu, R., Keaveny, E., & Papageorgiou, D. (2016). Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models. Journal of Fluid Mechanics, 806, R1. https://doi.org/10.1017/jfm.2016.612

The nonlinear stability of two-fluid Couette flows is studied using a novel evolution equation whose dynamics is validated by direct numerical simulation (DNS). The evolution equation incorporates inertial effects at arbitrary Reynolds numbers throug... Read More about Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models.

Transport of phase space densities through tetrahedral meshes using discrete flow mapping (2016)
Journal Article
Bajars, J., Chappell, D., Søndergaard, N., & Tanner, G. (in press). Transport of phase space densities through tetrahedral meshes using discrete flow mapping. Journal of Computational Physics, 328, https://doi.org/10.1016/j.jcp.2016.10.019

Discrete flow mapping was recently introduced as an efficient ray based method determin- ing wave energy distributions in complex built up structures. Wave energy densities are transported along ray trajectories through polygonal mesh elements using... Read More about Transport of phase space densities through tetrahedral meshes using discrete flow mapping.

Hybrid vertex-midline modelling of elongated plant organs (2016)
Journal Article
Fozard, J. A., Bennett, M. J., King, J. R., & Jensen, O. E. (2016). Hybrid vertex-midline modelling of elongated plant organs. Interface Focus, 6(5), Article 20160043. https://doi.org/10.1098/rsfs.2016.0043

We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale... Read More about Hybrid vertex-midline modelling of elongated plant organs.

Uninvited guest in mixed derivative Hořava gravity (2016)
Journal Article
Coates, A., Colombo, M., Gümrükçüoğlu, A. E., & Sotiriou, T. P. (2016). Uninvited guest in mixed derivative Hořava gravity. Physical Review D, 94(8), Article 84014. https://doi.org/10.1103/PhysRevD.94.084014

We revisit the mixed-derivative extension of Hořava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimal theory with mixed-derivative terms that contain two... Read More about Uninvited guest in mixed derivative Hořava gravity.

A multiscale analysis of drug transport and response for a multiphase tumor model (2016)
Journal Article
Collis, J., Hubbard, M. E., & O'Dea, R. D. (in press). A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics, https://doi.org/10.1017/S0956792516000413

In this article we consider the spatial homogenization of a multi- phase model for avascular tumour growth and response to chemother- apeutic treatment. The key contribution of this work is the derivation of a system of homogenized partial differenti... Read More about A multiscale analysis of drug transport and response for a multiphase tumor model.

Infinite Horizon Sparse Optimal Control (2016)
Journal Article
Kalise, D., Kunisch, K., & Rao, Z. (2017). Infinite Horizon Sparse Optimal Control. Journal of Optimization Theory and Applications, 172(2), 481-517. https://doi.org/10.1007/s10957-016-1016-9

A class of infinite horizon optimal control problems involving nonsmooth cost functionals is discussed. The existence of optimal controls is studied for both the convex case and the nonconvex case, and the sparsity structure of the optimal controls p... Read More about Infinite Horizon Sparse Optimal Control.

Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains (2016)
Book Chapter
Antonietti, P. F., Cangiani, A., Collis, J., Dong, Z., Georgoulis, E. H., Giani, S., & Houston, P. (2016). Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In G. R. Barrenechea, F. Brezzi, A. Cangiani, & E. H. Georgoulis (Eds.), Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (281-310). Cham: Springer Publishing Company. https://doi.org/10.1007/978-3-319-41640-3_9

The numerical approximation of partial differential equations (PDEs) posed on complicated geometries, which include a large number of small geometrical features or microstructures, represents a challenging computational problem. Indeed, the use of st... Read More about Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains.

Practical quantum metrology in noisy environments (2016)
Journal Article
Nichols, R., Bromley, T. R., Correa, L. A., & Adesso, G. (2016). Practical quantum metrology in noisy environments. Physical Review A, 94(4), Article 042101. https://doi.org/10.1103/PhysRevA.94.042101

The problem of estimating an unknown phase ? using two-level probes in the presence of unital phase-covariant noise and using finite resources is investigated. We introduce a simple model in which the phase-imprinting operation on the probes is reali... Read More about Practical quantum metrology in noisy environments.

Regularity points and Jensen measures for R(X) (2016)
Journal Article
Feinstein, J., & Yang, H. (in press). Regularity points and Jensen measures for R(X). Studia Mathematica, 235(1), https://doi.org/10.4064/sm8351-7-2016

We discuss two types of `regularity point', points of continuity and R-points for Banach function algebras, which were introduced by the first author and Somerset in (2000). We show that, even for the natural uniform algebras R(X) (for compact plane... Read More about Regularity points and Jensen measures for R(X).

Hollow quasi-Fatou components of quasiregular maps (2016)
Journal Article
Nicks, D. A., & Sixsmith, D. J. (2017). Hollow quasi-Fatou components of quasiregular maps. Mathematical Proceedings, 162(3), https://doi.org/10.1017/S0305004116000840

We define a quasi-Fatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in Rd is called hollow if it has a bounded complementary component. We show that for each d?2 there exists a quasiregular ma... Read More about Hollow quasi-Fatou components of quasiregular maps.

Price of anarchy on heterogeneous traffic-flow networks (2016)
Journal Article
Rose, A. M., O'Dea, R. D., & Hopcraft, K. I. (2016). Price of anarchy on heterogeneous traffic-flow networks. Physical Review E, 94(3), Article 032315. https://doi.org/10.1103/PhysRevE.94.032315

The efficiency of routing traffic through a network, comprising nodes connected by links whose cost of traversal is either fixed or varies in proportion to volume of usage, can be measured by the `price of anarchy'. This is the ratio of the cost incu... Read More about Price of anarchy on heterogeneous traffic-flow networks.

Hierarchical Bayesian level set inversion (2016)
Journal Article
Dunlop, M. M., Iglesias, M., & Stuart, A. M. (in press). Hierarchical Bayesian level set inversion. Statistics and Computing, 27(6), https://doi.org/10.1007/s11222-016-9704-8

The level set approach has proven widely successful in the study of inverse problems for inter- faces, since its systematic development in the 1990s. Re- cently it has been employed in the context of Bayesian inversion, allowing for the quantificatio... Read More about Hierarchical Bayesian level set inversion.

Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis (2016)
Journal Article
Mellor, N. L., Band, L. R., Pěnčík, A., Novak, O., Rashed, A., Holman, T., …Owen, M. R. (2016). Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis. Proceedings of the National Academy of Sciences, 113(39), 11022-11027. https://doi.org/10.1073/pnas.1604458113

Auxin is a key hormone regulating plant growth and development. We combine experiments and mathematical modeling to reveal how auxin levels are maintained via feedback regulation of genes encoding key metabolic enzymes. We describe how regulation of... Read More about Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis.

A Bayesian micro-simulation to evaluate the cost-effectiveness of interventions for mastitis control during the dry period in UK dairy herds (2016)
Journal Article
Down, P., Bradley, A., Breen, J., Browne, W., Kypraios, T., & Green, M. (2016). A Bayesian micro-simulation to evaluate the cost-effectiveness of interventions for mastitis control during the dry period in UK dairy herds. Preventive Veterinary Medicine, 133, 64-72. https://doi.org/10.1016/j.prevetmed.2016.09.012

Importance of the dry period with respect to mastitis control is now well established although the precise interventions that reduce the risk of acquiring intramammary infections during this time are not clearly understood. There are very few interve... Read More about A Bayesian micro-simulation to evaluate the cost-effectiveness of interventions for mastitis control during the dry period in UK dairy herds.

The imprint of the analogue Hawking effect in subcritical flows (2016)
Journal Article
Coutant, A., & Weinfurtner, S. (2016). The imprint of the analogue Hawking effect in subcritical flows. Physical Review D, 94(6), Article 064026. https://doi.org/10.1103/PhysRevD.94.064026

We study the propagation of low-frequency shallow water waves on a one-dimensional flow of varying depth. When taking into account dispersive effects, the linear propagation of long-wavelength modes on uneven bottoms excites new solutions of the disp... Read More about The imprint of the analogue Hawking effect in subcritical flows.

Unruh-DeWitt detector’s response to fermions in flat spacetimes (2016)
Journal Article
Louko, J., & Toussaint, V. (2016). Unruh-DeWitt detector’s response to fermions in flat spacetimes. Physical Review D, 94(6), Article 064027. https://doi.org/10.1103/PhysRevD.94.064027

We examine an Unruh-DeWitt particle detector that is coupled linearly to the scalar density of a massless Dirac field in Minkowski spacetimes of dimension d≥2 and on the static Minkowski cylinder in spacetime dimension two, allowing the detector’s mo... Read More about Unruh-DeWitt detector’s response to fermions in flat spacetimes.

Extrinsic curvature in two-dimensional causal dynamical triangulation (2016)
Journal Article
Glaser, L., Sotiriou, T. P., & Weinfurtner, S. (2016). Extrinsic curvature in two-dimensional causal dynamical triangulation. Physical Review D, 94(6), Article 64014. https://doi.org/10.1103/PhysRevD.94.064014

Causal dynamical triangulation (CDT) is a nonperturbative quantization of general relativity. Hořava-Lifshitz gravity, on the other hand, modifies general relativity to allow for perturbative quantization. Past work has given rise to the speculation... Read More about Extrinsic curvature in two-dimensional causal dynamical triangulation.