All Outputs (159)

Experimental realization of a thermal squeezed state of levitated optomechanics (2016)
Journal Article
Rashid, M., Tufarelli, T., Bateman, J., Vovrosh, J., Hempston, D., Kim, M. S., & Ulbricht, H. (in press). Experimental realization of a thermal squeezed state of levitated optomechanics. Physical Review Letters, 117(27), Article 273601. https://doi.org/10.1103/PhysRevLett.117.273601

We experimentally squeeze the thermal motional state of an optically levitated nanosphere by fast switching between two trapping frequencies. The measured phase-space distribution of the center of mass of our particle shows the typical shape of a squ... Read More about Experimental realization of a thermal squeezed state of levitated optomechanics.

Detecting rotational superradiance in fluid laboratories (2016)
Journal Article
Cardoso, V., Coutant, A., Richartz, M., & Weinfurtner, S. (2016). Detecting rotational superradiance in fluid laboratories. Physical Review Letters, 117(27), Article 271101. https://doi.org/10.1103/PhysRevLett.117.271101

Rotational superradiance was predicted theoretically decades ago, and is chiefly responsible for a number of important effects and phenomenology in black-hole physics. However, rotational superradiance has never been observed experimentally. Here, wi... Read More about Detecting rotational superradiance in fluid laboratories.

Dynamical scalar hair formation around a Schwarzschild black hole (2016)
Journal Article
Benkel, R., Sotiriou, T. P., & Witek, H. (2016). Dynamical scalar hair formation around a Schwarzschild black hole. Physical Review D, 94(12), https://doi.org/10.1103/PhysRevD.94.121503

Scalar fields coupled to the Gauss-Bonnet invariant evade the known no-hair theorems and have nontrivial configurations around black holes. We focus on a scalar field that couples linearly to the Gauss-Bonnet invariant and hence exhibits shift symmet... Read More about Dynamical scalar hair formation around a Schwarzschild black hole.

An energy-stable time-integrator for phase-field models (2016)
Journal Article
Vignal, P., Collier, N., Dalcin, L., Brown, D., & Calo, V. (2017). An energy-stable time-integrator for phase-field models. Computer Methods in Applied Mechanics and Engineering, 316, https://doi.org/10.1016/j.cma.2016.12.017

We introduce a provably energy-stable time-integration method for general classes of phase-field models with polynomial potentials. We demonstrate how Taylor series expansions of the nonlinear terms present in the partial differential equations of th... Read More about An energy-stable time-integrator for phase-field models.

Analysis of a hysteresis-controlled self-oscillating class-D amplifier (2016)
Journal Article
Cox, S. M., Yu, J., Goh, W. L., & Tan, M. T. (in press). Analysis of a hysteresis-controlled self-oscillating class-D amplifier. IMA Journal of Applied Mathematics, 82(2), https://doi.org/10.1093/imamat/hxw053

This paper gives the first systematic perturbation analysis of the audio distortion and mean switching period for a self-oscillating class-D amplifier. Explicit expressions are given for all the principal components of audio distortion, for a general... Read More about Analysis of a hysteresis-controlled self-oscillating class-D amplifier.

The emergence of waves in random discrete systems (2016)
Journal Article
Pickton, J., Hopcraft, K. I., & Jakeman, E. (in press). The emergence of waves in random discrete systems. Scientific Reports, 6(21), https://doi.org/10.1038/s41598-016-0022-3

Essential criteria for the emergence of wave-like manifestations occurring in an entirely discrete system are identified using a simple model for the movement of particles through a network. The dynamics are entirely stochastic and memoryless involvi... Read More about The emergence of waves in random discrete systems.

The impact of electrode resistance on the biogalvanic characterisation technique (2016)
Journal Article
Chandler, J., Head, D., Hubbard, M. E., Neville, A., Jayne, D., & Culmer, P. (2016). The impact of electrode resistance on the biogalvanic characterisation technique. Physiological Measurement, 38(2), https://doi.org/10.1088/1361-6579/38/2/101

Measurement of a tissue-specific electrical resistance may offer a discriminatory metric for evaluation of tissue health during cancer surgery. With a move toward minimally-invasive procedures, applicable contact sensing modalities must be scalable,... Read More about The impact of electrode resistance on the biogalvanic characterisation technique.

Regularized inner products and errors of modularity (2016)
Journal Article
Bringmann, K., Diamantis, N., & Ehlen, S. (2017). Regularized inner products and errors of modularity. International Mathematics Research Notices, 2017(24), 7420-7458. https://doi.org/10.1093/imrn/rnw225

© The Author(s) 2016. We develop a regularization for Petersson inner products of arbitrary weakly holomorphic modular forms, generalizing several known regularizations. As one application, we extend work of Duke, Imamoglu, and Toth on regularized in... Read More about Regularized inner products and errors of modularity.

Effect of possible rotor deformation on the probability of face contact for a liquid film bearing (2016)
Journal Article
Hibberd, S., Bailey, N., Hibberd, S., & Power, H. (2017). Effect of possible rotor deformation on the probability of face contact for a liquid film bearing. Tribology International, 109, 297-310. https://doi.org/10.1016/j.triboint.2016.12.032

The possibility of face contact is examined for a coaxial rotor-stator bearing in dynamic motion constrained by a highly rotating very thin liquid film. A modified Reynolds equation for pressurised flow is coupled to the bearing structure leading to... Read More about Effect of possible rotor deformation on the probability of face contact for a liquid film bearing.

Propagating wave correlations in complex systems (2016)
Journal Article
Creagh, S. C., Gradoni, G., Hartmann, T., & Tanner, G. (2016). Propagating wave correlations in complex systems. Journal of Physics A: Mathematical and Theoretical, 50(4), Article 45101. https://doi.org/10.1088/1751-8121/50/4/045101

We describe a novel approach for computing wave correlation functions inside finite spatial domains driven by complex and statistical sources. By exploiting semiclassical approximations, we provide explicit algorithms to calculate the local mean of t... Read More about Propagating wave correlations in complex systems.

Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures (2016)
Journal Article
Gnutzmann, S., & Waltner, D. (in press). Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures. Physical Review E, 94(6), Article 062216. https://doi.org/10.1103/PhysRevE.94.062216

We consider exact and asymptotic solutions of the stationary cubic nonlinear Schrödinger equation on metric graphs. We focus on some basic example graphs. The asymptotic solutions are obtained using the canonical perturbation formalism developed in o... Read More about Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures.

Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems (2016)
Journal Article
Cangiani, A., Georgoulis, E. H., Kyza, I., & Metcalfe, S. (2016). Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems. SIAM Journal on Scientific Computing, 38(6), A3833-A3856. https://doi.org/10.1137/16m106073x

This work is concerned with the development of a space-time adaptive numerical method, based on a rigorous a posteriori error bound, for a semilinear convection-diffusion problem which may exhibit blow-up in finite time. More specifically, a posterio... Read More about Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems.

A geometric approach to visualization of variability in functional data (2016)
Journal Article
Xie, W., Kurtek, S., Bharath, K., & Sun, Y. (in press). A geometric approach to visualization of variability in functional data. Journal of the American Statistical Association, 112(519), https://doi.org/10.1080/01621459.2016.1256813

We propose a new method for the construction and visualization of boxplot-type displays for functional data. We use a recent functional data analysis framework, based on a representation of functions called square-root slope functions, to decompose o... Read More about A geometric approach to visualization of variability in functional data.

Event series prediction via non-homogeneous Poisson process modelling (2016)
Conference Proceeding
Goulding, J., Preston, S. P., & Smith, G. (2016). Event series prediction via non-homogeneous Poisson process modelling. In 2016 IEEE 16th International Conference on Data Mining (ICDM). https://doi.org/10.1109/ICDM.2016.0027

Data streams whose events occur at random arrival times rather than at the regular, tick-tock intervals of traditional time series are increasingly prevalent. Event series are continuous, irregular and often highly sparse, differing greatly in nature... Read More about Event series prediction via non-homogeneous Poisson process modelling.

The deterministic Kermack?McKendrick model bounds the general stochastic epidemic (2016)
Journal Article
Wilkinson, R. R., Ball, F. G., & Sharkey, K. J. (2016). The deterministic Kermack?McKendrick model bounds the general stochastic epidemic. Journal of Applied Probability, 53(4), 1031-1040. https://doi.org/10.1017/jpr.2016.62

We prove that, for Poisson transmission and recovery processes, the classic Susceptible $\to$ Infected $\to$ Recovered (SIR) epidemic model of Kermack and McKendrick provides, for any given time $t>0$, a strict lower bound on the expected number of s... Read More about The deterministic Kermack?McKendrick model bounds the general stochastic epidemic.

Modelling and Bayesian analysis of the Abakaliki smallpox data (2016)
Journal Article
Stockdale, J. E., Kypraios, T., & O’Neill, P. D. (2017). Modelling and Bayesian analysis of the Abakaliki smallpox data. Epidemics, 19, https://doi.org/10.1016/j.epidem.2016.11.005

The celebrated Abakaliki smallpox data have appeared numerous times in the epidemic modelling literature, but in almost all cases only a specific subset of the data is considered. The only previous analysis of the full data set relied on approximatio... Read More about Modelling and Bayesian analysis of the Abakaliki smallpox data.

Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations (2016)
Journal Article
Zhang, K., Crooks, E., & Orlando, A. (in press). Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations. SIAM Journal on Mathematical Analysis, 48(6), https://doi.org/10.1137/15M1045673

We introduce Lipschitz continuous and C¹,¹ geometric approximation and interpolation methods for sampled bounded uniformly continuous functions over compact sets and over complements of bounded open sets in Rn by using compensated convex transforms.... Read More about Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations.

Differential cohomology and locally covariant quantum field theory (2016)
Journal Article
Becker, C., Schenkel, A., & Szabo, R. J. (2017). Differential cohomology and locally covariant quantum field theory. Reviews in Mathematical Physics, 29(1), Article 1750003. https://doi.org/10.1142/S0129055X17500039

We study differential cohomology on categories of globally hyperbolic Lorentzian manifolds. The Lorentzian metric allows us to define a natural transformation whose kernel generalizes Maxwell's equations and fits into a restriction of the fundamental... Read More about Differential cohomology and locally covariant quantum field theory.

Geometrical structure of two-dimensional crystals with non-constant dislocation density (2016)
Journal Article
Parry, G. P., & Zyskin, M. (in press). Geometrical structure of two-dimensional crystals with non-constant dislocation density. Journal of Elasticity, 127(2), https://doi.org/10.1007/s10659-016-9612-3

We outline mathematical methods which seem to be necessary in order to discuss crystal structures with non-constant dislocation density tensor(ddt) in some generality. It is known that, if the ddt is constant (in space), then material points can be i... Read More about Geometrical structure of two-dimensional crystals with non-constant dislocation density.

The nonconforming virtual element method for the stokes equations (2016)
Journal Article
Cangiani, A., Gyrya, V., & Manzini, G. (2016). The nonconforming virtual element method for the stokes equations. SIAM Journal on Numerical Analysis, 54(6), 3411-3435. https://doi.org/10.1137/15M1049531

© 2016 Society for Industrial and Applied Mathematics. We present the nonconforming virtual element method (VEM) for the numerical approximation of velocity and pressure in the steady Stokes problem. The pressure is approximated using discontinuous p... Read More about The nonconforming virtual element method for the stokes equations.