All Outputs (1645)

An elliptically symmetric angular Gaussian distribution (2017)
Journal Article
Paine, P., Preston, S. P., Tsagris, M., & Wood, A. T. (2018). An elliptically symmetric angular Gaussian distribution. Statistics and Computing, 28(3), 689-697. https://doi.org/10.1007/s11222-017-9756-4

We define a distribution on the unit sphere Sd−1 called the elliptically symmetric angular Gaussian distribution. This distribution, which to our knowledge has not been studied before, is a subfamily of the angular Gaussian distribution closely analo... Read More about An elliptically symmetric angular Gaussian distribution.

Global anomalies on Lorentzian space-times (2017)
Journal Article
Schenkel, A., & Zahn, J. (2017). Global anomalies on Lorentzian space-times. Annales Henri Poincaré, 18(8), 2693-2714. https://doi.org/10.1007/s00023-017-0590-1

We formulate an algebraic criterion for the presence of global anomalies on globally hyperbolic space-times in the framework of locally covariant field theory. We discuss some consequences and check that it reproduces the well-known global SU(2) anom... Read More about Global anomalies on Lorentzian space-times.

A posteriori error estimates for the virtual element method (2017)
Journal Article
Cangiani, A., Georgoulis, E. H., Pryer, T., & Sutton, O. J. (2017). A posteriori error estimates for the virtual element method. Numerische Mathematik, 137(4), 857-893. https://doi.org/10.1007/s00211-017-0891-9

An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes. The estimator is fully com... Read More about A posteriori error estimates for the virtual element method.

Evolution of moments and correlations in non-renewal escape-time processes (2017)
Journal Article
Braun, W., Thul, R., & Longtin, A. (in press). Evolution of moments and correlations in non-renewal escape-time processes. Physical Review E, 95, https://doi.org/10.1103/PhysRevE.95.052127

The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting their applicability. Also, numerical results have mostly been obtained... Read More about Evolution of moments and correlations in non-renewal escape-time processes.

The automorphisms of Petit's algebras (2017)
Journal Article
Brown, C., & Pumpluen, S. (in press). The automorphisms of Petit's algebras. Communications in Algebra, https://doi.org/10.1080/00927872.2017.1327598

Let ? be an automorphism of a field K with fixed field F. We study the automorphisms of nonassociative unital algebras which are canonical generalizations of the associative quotient algebras K[t; ?]=fK[t; ?] obtained when the twisted polynomialf 2 K... Read More about The automorphisms of Petit's algebras.

Versatile Gaussian probes for squeezing estimation (2017)
Journal Article
Rigovacca, L., Farace, A., Souza, L. A. M., De Pasquale, A., Giovannetti, V., & Adesso, G. (in press). Versatile Gaussian probes for squeezing estimation. Physical Review A, 95(5), Article 052331. https://doi.org/10.1103/PhysRevA.95.052331

We consider an instance of “black-box” quantum metrology in the Gaussian framework, where we aim to estimate the amount of squeezing applied on an input probe, without previous knowledge on the phase of the applied squeezing. By taking the quantum Fi... Read More about Versatile Gaussian probes for squeezing estimation.

Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics (2017)
Journal Article
Gu??, M., & Kiukas, J. (in press). Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics. Journal of Mathematical Physics, 58, https://doi.org/10.1063/1.4982958

This paper deals with the problem of identifying and estimating dynamical parameters of continuous-time Markovian quantum open systems, in the input-output formalism. First, we characterise the space of identifiable parameters for ergodic dynamics, a... Read More about Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics.

Experimental test of photonic entanglement in accelerated reference frames (2017)
Journal Article
Fink, M., Rodriguez-Aramendia, A., Handsteiner, J., Ziarkash, A., Steinlechner, F., Scheidl, T., …Ursin, R. (2017). Experimental test of photonic entanglement in accelerated reference frames. Nature Communications, 8, 1-6. https://doi.org/10.1038/ncomms15304

The unification of the theory of relativity and quantum mechanics is a long-standing challenge in contemporary physics. Experimental techniques in quantum optics have only recently reached the maturity required for the investigation of quantum system... Read More about Experimental test of photonic entanglement in accelerated reference frames.

There is more to quantum interferometry than entanglement (2017)
Journal Article
Bromley, T. R., Silva, I. A., Oncebay-Segura, C. O., Soares-Pinto, D. O., deAzevedo, E. R., Tufarelli, T., & Adesso, G. (2017). There is more to quantum interferometry than entanglement. Physical Review A, 95(5), Article 052313. https://doi.org/10.1103/PhysRevA.95.052313

Entanglement has long stood as one of the characteristic features of quantum mechanics, yet recent developments have emphasized the importance of quantumness beyond entanglement for quantum foundations and technologies. We demonstrate that entangleme... Read More about There is more to quantum interferometry than entanglement.

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes (2017)
Journal Article
Antonietti, P. F., Houston, P., Hu, X., Sarti, M., & Verani, M. (in press). Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Numerische Mathematik, 54(4), https://doi.org/10.1007/s10092-017-0223-6

In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp-version symmetric interior penalty discontinuous Galerkin discretizations of s... Read More about Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes.

Shape of transition layers in a differential--delay equation (2017)
Journal Article
Wattis, J. A. (in press). Shape of transition layers in a differential--delay equation. IMA Journal of Applied Mathematics, https://doi.org/10.1093/imamat/hxx011

We use asymptotic techniques to describe the bifurcation from steady-state to a periodic solution in the singularly perturbed delayed logistic equation ?x?(t) = ?x(t)+ ? f(x(t ? 1)) with ? ? 1. The solution has the form of plateaus of approximatel... Read More about Shape of transition layers in a differential--delay equation.

Mapping toric varieties into low dimensional spaces (2017)
Journal Article
Dufresne, E., & Jeffries, J. (in press). Mapping toric varieties into low dimensional spaces. Transactions of the American Mathematical Society, 1. https://doi.org/10.1090/tran/7026

A smooth d-dimensional projective variety X can always be embedded into 2d + 1-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our requirement and ask only that the map is injective, then a... Read More about Mapping toric varieties into low dimensional spaces.

Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model (2017)
Journal Article
Fadai, N. T., Ward, M. J., & Wei, J. (2017). Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model. SIAM Journal on Applied Mathematics, 77(2), 664-696. https://doi.org/10.1137/16m1063460

A linear stability analysis of localized spike solutions to the singularly perturbed two-component Gierer--Meinhardt (GM) reaction-diffusion (RD) system with a fixed time delay $T$ in the nonlinear reaction kinetics is performed. Our analysis of this... Read More about Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model.

Development of a statistical crop model to explain the relationship between seed yield and phenotypic diversity within the Brassica napus Genepool (2017)
Journal Article
Bennett, E. J., Brignell, C. J., Carion, P. W., Cook, S. M., Eastmond, P. J., Teakle, G. R., …Wagstaff, C. (2017). Development of a statistical crop model to explain the relationship between seed yield and phenotypic diversity within the Brassica napus Genepool. Agronomy, 7(2), Article 31. https://doi.org/10.3390/agronomy7020031

Plants are extremely versatile organisms that respond to the environment in which they find themselves, but a large part of their development is under genetic regulation. The links between developmental parameters and yield are poorly understood in o... Read More about Development of a statistical crop model to explain the relationship between seed yield and phenotypic diversity within the Brassica napus Genepool.

Quantum communications and quantum metrology in the spacetime of a rotating planet (2017)
Journal Article
Kohlrus, J., Bruschi, D. E., Louko, J., & Fuentes, I. (2017). Quantum communications and quantum metrology in the spacetime of a rotating planet. EPJ Quantum Technology, 4, Article 7. https://doi.org/10.1140/epjqt/s40507-017-0061-0

We study how quantum systems that propagate in the spacetime of a rotating planet are affected by the curved background. Spacetime curvature affects wavepackets of photons propagating from Earth to a satellite, and the changes in the wavepacket encod... Read More about Quantum communications and quantum metrology in the spacetime of a rotating planet.

The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models (2017)
Journal Article
Wilkinson, R. R., Ball, F. G., & Sharkey, K. J. (2017). The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models. Journal of Mathematical Biology, 75(6-7), 1563-1590. https://doi.org/10.1007/s00285-017-1123-8

We consider a very general stochastic model for an SIR epidemic on a network which allows an individual’s infectious period, and the time it takes to contact each of its neighbours after becoming infected, to be correlated. We write down the message... Read More about The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models.

Spatio-temporal canards in neural field equations (2017)
Journal Article
Avitabile, D., Desroches, M., & Knobloch, E. (in press). Spatio-temporal canards in neural field equations. Physical Review E, 95(4), https://doi.org/10.1103/PhysRevE.95.042205

Canards are special solutions to ordinary differential equations that follow invariant repelling slow manifolds for long time intervals. In realistic biophysical single-cell models, canards are responsible for several complex neural rhythms observed... Read More about Spatio-temporal canards in neural field equations.

A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations (2017)
Journal Article
Brown, D. L., & Hoang, V. H. (2017). A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations. Journal of Computational and Applied Mathematics, 323, https://doi.org/10.1016/j.cam.2017.04.004

We consider two-scale elliptic equations whose coefficients are random. In particular, we study two cases: in the first case, the coefficients are obtained from an ergodic dynamical system acting on a probability space, and in the second the case, th... Read More about A hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equations.

Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field (2017)
Journal Article
Zhou, L., Carrington, M. E., Kunstatter, G., & Louko, J. (2017). Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field. Physical Review D, 95(8), https://doi.org/10.1103/PhysRevD.95.085007

We analyze the smooth and sharp creation of a pointlike source for a quantized massless scalar field in (3+1)-dimensional Minkowski spacetime, as a model for the breakdown of correlations that has been proposed to occur at the horizon of an evaporati... Read More about Smooth and sharp creation of a pointlike source for a (3+1)-dimensional quantum field.

Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations (2017)
Journal Article
Brown, D., Gallistl, D., & Peterseim, D. (in press). Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations. Lecture Notes in Computational Science and Engineering, 115, https://doi.org/10.1007/978-3-319-51954-8_6

This paper presents a multiscale Petrov-Galerkin finite element method for time-harmonic acoustic scattering problems with heterogeneous coefficients in the high-frequency regime. We show that the method is pollution free also in the case of heteroge... Read More about Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations.