Skip to main content

Research Repository

Advanced Search

All Outputs (1660)

The nonassociative algebras used to build fast-decodable space-time block codes (2015)
Journal Article
Pumpluen, S., & Steele, A. (2015). The nonassociative algebras used to build fast-decodable space-time block codes. Advances in Mathematics of Communications, 9(4), https://doi.org/10.3934/amc.2015.9.449

Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear eit... Read More about The nonassociative algebras used to build fast-decodable space-time block codes.

Removability of exceptional sets for differentiable and Lipschitz functions (2015)
Journal Article
Craig, J., Feinstein, J., & Patrick, P. (2015). Removability of exceptional sets for differentiable and Lipschitz functions. 00 Journal not listed, 645, https://doi.org/10.1090/conm/645

We discuss removability problems concerning differentiability and pointwise Lipschitz conditions for functions of a real variable. We prove that, in each of the settings under consideration, a set is removable if and only if it has no perfect subsets... Read More about Removability of exceptional sets for differentiable and Lipschitz functions.

Swiss Cheeses and Their Applications (2015)
Conference Proceeding
Feinstein, J., Morley, S., & Yang, H. (2015). Swiss Cheeses and Their Applications. In K. Jarosz (Ed.), Function Spaces in Analysis. https://doi.org/80.1090/conm/645/

Swiss cheese sets have been used in the literature as useful examples in the study of rational approximation and uniform algebras. In this paper, we give a survey of Swiss cheese constructions and related results. We describe some notable examples of... Read More about Swiss Cheeses and Their Applications.

Secure continuous variable teleportation and Einstein-Podolsky-Rosen steering (2015)
Journal Article
He, Q., Rosales-Zárate, L., Adesso, G., & Reid, M. D. (2015). Secure continuous variable teleportation and Einstein-Podolsky-Rosen steering. Physical Review Letters, 115(18), https://doi.org/10.1103/PhysRevLett.115.180502

We investigate the resources needed for secure teleportation of coherent states. We extend continuous variable teleportation to include quantum teleamplification protocols that allow nonunity classical gains and a preamplification or postattenuation... Read More about Secure continuous variable teleportation and Einstein-Podolsky-Rosen steering.

A geometric network model of intrinsic grey-matter connectivity of the human brain (2015)
Journal Article
Lo, Y., O'Dea, R. D., Crofts, J. J., Han, C. E., & Kaiser, M. (2015). A geometric network model of intrinsic grey-matter connectivity of the human brain. Scientific Reports, 5, Article e15397. https://doi.org/10.1038/srep15397

Network science provides a general framework for analysing the large-scale brain networks that naturally arise from modern neuroimaging studies, and a key goal in theoretical neuroscience is to understand the extent to which these neural architecture... Read More about A geometric network model of intrinsic grey-matter connectivity of the human brain.

Generation of quantum steering and interferometric power in the dynamical Casimir effect (2015)
Journal Article
Sabín, C., & Adesso, G. (2015). Generation of quantum steering and interferometric power in the dynamical Casimir effect. Physical Review A, 92(4), https://doi.org/10.1103/PhysRevA.92.042107

We analyze the role of the dynamical Casimir effect as a resource for quantum technologies, such as quantum cryptography and quantum metrology. In particular, we consider the generation of Einstein-Podolsky-Rosen steering and Gaussian interferometric... Read More about Generation of quantum steering and interferometric power in the dynamical Casimir effect.

Mathematical Modelling of Heart Rate Changes in the Mouse (2015)
Report
Christie, M., Nandi, M., Borg, Y., Carapella, V., Mirams, G., Aston, P., …Chakrabarti, B. Mathematical Modelling of Heart Rate Changes in the Mouse. NC3Rs

The CVS is composed of numerous interacting and dynamically regulated physiological subsystems which each generate measurable periodic components such that the CVS can itself be presented as a system of weakly coupled oscillators. The interactions be... Read More about Mathematical Modelling of Heart Rate Changes in the Mouse.

Hydroxychloroquine reduces heart rate by modulating the hyperpolarization-activated current If: Novel electrophysiological insights and therapeutic potential (2015)
Journal Article
Capel, R. A., Herring, N., Kalla, M., Yavari, A., Mirams, G. R., Douglas, G., …Burton, R. A. B. (2015). Hydroxychloroquine reduces heart rate by modulating the hyperpolarization-activated current If: Novel electrophysiological insights and therapeutic potential. Heart Rhythm, 12(10), 2186-2194. https://doi.org/10.1016/j.hrthm.2015.05.027

© 2015 Heart Rhythm Society. Background Bradycardic agents are of interest for the treatment of ischemic heart disease and heart failure, as heart rate is an important determinant of myocardial oxygen consumption. Objectives The purpose of this study... Read More about Hydroxychloroquine reduces heart rate by modulating the hyperpolarization-activated current If: Novel electrophysiological insights and therapeutic potential.

Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces (2015)
Journal Article
Fesenko, I. (2015). Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces. Moscow Mathematical Journal, 15(3),

The classical Riemann–Roch theorem for projective irreducible curves over perfect fields can be elegantly proved using adeles and their topological self-duality. This was known already to E. Artin and K. Iwasawa and can be viewed as a relation betwee... Read More about Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces.

Scaling of critical wave functions at topological Anderson transitions in one dimension (2015)
Journal Article
Quinn, E., Cope, T., Bardarson, J. H., & Ossipov, A. (2015). Scaling of critical wave functions at topological Anderson transitions in one dimension. Physical Review B, 92(10), Article 104204. https://doi.org/10.1103/PhysRevB.92.104204

Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critic... Read More about Scaling of critical wave functions at topological Anderson transitions in one dimension.

Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics (2015)
Journal Article
Zhou, D., Dryden, I. L., Koloydenko, A. A., Audenaert, K. M., & Bai, L. (2016). Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics. Journal of Applied Statistics, 43(5), 943-978. https://doi.org/10.1080/02664763.2015.1080671

Practical statistical analysis of diffusion tensor images is considered, and we focus primarily on methods that use metrics based on Euclidean distances between powers of diffusion tensors. First we describe a family of anisotropy measures based on a... Read More about Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics.

A phase-space approach for propagating field–field correlation functions (2015)
Journal Article
Gradoni, G., Creagh, S. C., Tanner, G., Smartt, C., & Thomas, D. W. (2015). A phase-space approach for propagating field–field correlation functions. New Journal of Physics, 17, Article 093027. https://doi.org/10.1088/1367-2630/17/9/093027

We show that radiation from complex and inherently random but correlated wave sources can be modelled efficiently by using an approach based on the Wigner distribution function. Our method exploits the connection between correlation functions and the... Read More about A phase-space approach for propagating field–field correlation functions.

The linear inverse problem in energy beam processing with an application to abrasive waterjet machining (2015)
Journal Article
Axinte, D., Bilbao Guillerna, A., & Billingham, J. (2015). The linear inverse problem in energy beam processing with an application to abrasive waterjet machining. International Journal of Machine Tools and Manufacture, 99, 34-42. https://doi.org/10.1016/j.ijmachtools.2015.09.006

© 2015 The Authors. Published by Elsevier Ltd. The linear inverse problem for energy beam processing, in which a desired etched profile is known and a trajectory of the beam that will create it must be found, is studied in this paper. As an example,... Read More about The linear inverse problem in energy beam processing with an application to abrasive waterjet machining.

On the asymptotic optimality of greedy index heuristics for multi-action restless bandits (2015)
Journal Article
Hodge, D., & Glazebrook, K. (2015). On the asymptotic optimality of greedy index heuristics for multi-action restless bandits. Advances in Applied Probability, 47(3), 652-667. doi:10.1017/S0001867800048771

The class of restless bandits as proposed by Whittle (1988) have long been known to be intractable. This paper presents an optimality result which extends that of Weber and Weiss (1990) for restless bandits to a more general setting in which individu... Read More about On the asymptotic optimality of greedy index heuristics for multi-action restless bandits.

Threshold manipulation in parity-time symmetric microresonator chain (2015)
Conference Proceeding
Phang, S., Vukovic, A., Creagh, S., Benson, T. M., Gradoni, G., & Sewell, P. D. (2015). Threshold manipulation in parity-time symmetric microresonator chain.

This paper analyses the eigenfrequencies of an infinitely long chain of microresonators with PT symmetry. The results show that the depth of modulation of the real part of the refractive index can be used to control the threshold point of the PT stru... Read More about Threshold manipulation in parity-time symmetric microresonator chain.

A regularization approach to blind deblurring and denoising of QR barcodes (2015)
Journal Article
van Gennip, Y., Athavale, P., Gilles, J., & Choksi, R. (2015). A regularization approach to blind deblurring and denoising of QR barcodes. IEEE Transactions on Image Processing, 24(9), https://doi.org/10.1109/TIP.2015.2432675

QR bar codes are prototypical images for which part of the image is a priori known (required patterns). Open source bar code readers, such as ZBar, are readily available. We exploit both these facts to provide and assess purely regularization-based m... Read More about A regularization approach to blind deblurring and denoising of QR barcodes.

Unified pre- and postsynaptic long-term plasticity enables reliable and flexible learning (2015)
Journal Article
Costa, R. P., Froemke, R. C., Sjöström, P. J., & van Rossum, M. C. (2015). Unified pre- and postsynaptic long-term plasticity enables reliable and flexible learning. eLife, 4, 1-16. https://doi.org/10.7554/eLife.09457

Although it is well known that long-term synaptic plasticity can be expressed both pre- and postsynaptically, the functional consequences of this arrangement have remained elusive. We show that spike-timing-dependent plasticity with both pre- and pos... Read More about Unified pre- and postsynaptic long-term plasticity enables reliable and flexible learning.

Fisher informations and local asymptotic normality for continuous-time quantum Markov processes (2015)
Journal Article
Catana, C., Bouten, L., & Gu??, M. (2015). Fisher informations and local asymptotic normality for continuous-time quantum Markov processes. Journal of Physics A: Mathematical and Theoretical, 48(36), Article 365301. https://doi.org/10.1088/1751-8113/48/36/365301

We consider the problem of estimating an arbitrary dynamical parameter of an open quantum system in the input–output formalism. For irreducible Markov processes, we show that in the limit of large times the system-output state can be approximated by... Read More about Fisher informations and local asymptotic normality for continuous-time quantum Markov processes.

High-Resolution Three-Dimensional Structural Data Quantify the Impact of Photoinhibition on Long-Term Carbon Gain in Wheat Canopies in the Field (2015)
Journal Article
Burgess, A. J., Retkute, R., Pound, M. P., Foulkes, J., Preston, S. P., Jensen, O. E., …Murchie, E. H. (2015). High-Resolution Three-Dimensional Structural Data Quantify the Impact of Photoinhibition on Long-Term Carbon Gain in Wheat Canopies in the Field. Plant Physiology, 169(2), 1192-1204. https://doi.org/10.1104/pp.15.00722

Photoinhibition reduces photosynthetic productivity; however, it is difficult to quantify accurately in complex canopies partly because of a lack of high-resolution structural data on plant canopy architecture, which determines complex fluctuations o... Read More about High-Resolution Three-Dimensional Structural Data Quantify the Impact of Photoinhibition on Long-Term Carbon Gain in Wheat Canopies in the Field.