All Outputs (1646)

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.

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.

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.

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.

Schur complement inequalities for covariance matrices and monogamy of quantum correlations (2016)
Journal Article
Lami, L., Hirche, C., Adesso, G., & Winter, A. (2016). Schur complement inequalities for covariance matrices and monogamy of quantum correlations. Physical Review Letters, 117, Article 220502. https://doi.org/10.1103/PhysRevLett.117.220502

We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantum covariance matrices, including strong subadditivity. This allows us... Read More about Schur complement inequalities for covariance matrices and monogamy of quantum correlations.

The Schwarzian derivative and the Wiman-Valiron property (2016)
Journal Article
Langley, J. (in press). The Schwarzian derivative and the Wiman-Valiron property. Journal d'Analyse Mathématique, 130(1), https://doi.org/10.1007/s11854-016-0029-5

Consider a transcendental meromorphic function in the plane with finitely many critical values, such that the multiple points have bounded multiplicities and the inverse function has finitely many transcendental singularities. Using the Wiman-Valiron... Read More about The Schwarzian derivative and the Wiman-Valiron property.

Control of NFAT Isoform Activation and NFAT-Dependent Gene Expression through Two Coincident and Spatially Segregated Intracellular Ca 2+ Signals (2016)
Journal Article
Kar, P., Mirams, G. R., Christian, H. C., & Parekh, A. B. (2016). Control of NFAT Isoform Activation and NFAT-Dependent Gene Expression through Two Coincident and Spatially Segregated Intracellular Ca 2+ Signals. Molecular Cell, 64(4), 746-759. https://doi.org/10.1016/j.molcel.2016.11.011

© 2016 The Author(s) Excitation-transcription coupling, linking stimulation at the cell surface to changes in nuclear gene expression, is conserved throughout eukaryotes. How closely related coexpressed transcription factors are differentially activa... Read More about Control of NFAT Isoform Activation and NFAT-Dependent Gene Expression through Two Coincident and Spatially Segregated Intracellular Ca 2+ Signals.

Poisson algebras for non-linear field theories in the Cahiers topos (2016)
Journal Article
Benini, M., & Schenkel, A. (2017). Poisson algebras for non-linear field theories in the Cahiers topos. Annales Henri Poincaré, 18(4), 1435-1464. https://doi.org/10.1007/s00023-016-0533-2

We develop an approach to construct Poisson algebras for non-linear scalar field theories that is based on the Cahiers topos model for synthetic differential geometry. In this framework the solution space of the field equation carries a natural smoot... Read More about Poisson algebras for non-linear field theories in the Cahiers topos.

Working with Nonassociative Geometry and Field Theory (2016)
Journal Article
E. Barnes, G., Schenkel, A., & J. Szabo, R. (2016). Working with Nonassociative Geometry and Field Theory. Proceedings of Science, 263, https://doi.org/10.22323/1.263.0081

We review aspects of our formalism for differential geometry on noncommutative and nonassociative spaces which arise from cochain twist deformation quantization of manifolds. We work in the simplest setting of trivial vector bundles and flush out the... Read More about Working with Nonassociative Geometry and Field Theory.

Structure-function clustering in multiplex brain networks (2016)
Journal Article
Crofts, J. J., Forrester, M., & O'Dea, R. D. (2016). Structure-function clustering in multiplex brain networks. EPL, 116(1), Article 18003. https://doi.org/10.1209/0295-5075/116/18003

A key question in neuroscience is to understand how a rich functional repertoire of brain activity arises within relatively static networks of structurally connected neural populations: elucidating the subtle interactions between evoked "functional c... Read More about Structure-function clustering in multiplex brain networks.

Theoretical approaches to understanding root vascular patterning: a consensus between recent models (2016)
Journal Article
Mellor, N., Adibi, M., El-Showk, S., De Rybel, B., King, J., Mähönen, A. P., …Bishopp, A. (in press). Theoretical approaches to understanding root vascular patterning: a consensus between recent models. Journal of Experimental Botany, https://doi.org/10.1093/jxb/erw410

The root vascular tissues provide an excellent system for studying organ patterning, as the specification of these tissues signals a transition from radial symmetry to bisymmetric patterns. The patterning process is controlled by the combined action... Read More about Theoretical approaches to understanding root vascular patterning: a consensus between recent models.