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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., Weijers, D., & 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.

On the observation of nonclassical excitations in Bose–Einstein condensates (2016)
Journal Article
Finke, A., Jain, P., & Weinfurtner, S. (2016). On the observation of nonclassical excitations in Bose–Einstein condensates. New Journal of Physics, 18(113017), https://doi.org/10.1088/1367-2630/18/11/113017

In the recent experimental and theoretical literature well-established nonclassicality criteria from the field of quantum optics have been directly applied to the case of excitations in matter-waves. Among these are violations of Cauchy–Schwarz inequ... Read More about On the observation of nonclassical excitations in Bose–Einstein condensates.

Quantum state reconstruction of an oscillator network in an optomechanical setting (2016)
Journal Article
Moore, D. W., Tufarelli, T., Paternostro, M., & Ferraro, A. (2016). Quantum state reconstruction of an oscillator network in an optomechanical setting. Physical Review A, 94(5), Article 053811. https://doi.org/10.1103/PhysRevA.94.053811

We introduce a scheme to reconstruct an arbitrary quantum state of a mechanical oscillator network. We assume that a single element of the network is coupled to a cavity field via a linearized optomechanical interaction, whose time dependence is cont... Read More about Quantum state reconstruction of an oscillator network in an optomechanical setting.