Outputs (30)

Fano polytopes (2012)
Book Chapter
Kasprzyk, A. M., & Nill, B. (2012). Fano polytopes. In A. Rebhan, L. Katzarkov, J. Knapp, R. Rashkov, & E. Scheidegger (Eds.), Strings, gauge fields, and the geometry behind: the legacy of Maximilian Kreuzer (349-364). World Scientific. https://doi.org/10.1142/9789814412551_0017

Fano polytopes are the convex-geometric objects corresponding to toric Fano varieties. We give a brief survey of classification results for different classes of Fano polytopes.

Soft-bound synaptic plasticity increases storage capacity (2012)
Journal Article
van Rossum, M. C., Shippi, M., & Barrett, A. B. (2012). Soft-bound synaptic plasticity increases storage capacity. PLoS Computational Biology, 8(12), Article e1002836. https://doi.org/10.1371/journal.pcbi.1002836

Accurate models of synaptic plasticity are essential to understand the adaptive properties of the nervous system and for realistic models of learning and memory. Experiments have shown that synaptic plasticity depends not only on pre- and post-synapt... Read More about Soft-bound synaptic plasticity increases storage capacity.

Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states (2012)
Journal Article
Bowles, P., Guţă, M., & Adesso, G. (2012). Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states. New Journal of Physics, 14, Article 113041. https://doi.org/10.1088/1367-2630/14/11/113041

We investigate the problem of optimally reversing the action of an arbitrary quantum channel C which acts independently on each component of an ensemble of n identically prepared d-dimensional quantum systems. In the limit of large ensembles, we cons... Read More about Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states.

Gray categories with duals and their diagrams (2012)
Other
Barrett, J., Meusburger, C., & Schaumann, G. Gray categories with duals and their diagrams

The geometric and algebraic properties of Gray categories with duals are investigated by means of a diagrammatic calculus. The diagrams are three-dimensional stratifications of a cube, with regions, surfaces, lines and vertices labelled by Gray categ... Read More about Gray categories with duals and their diagrams.

Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing (2012)
Journal Article
Mirams, G. R., Davies, M. R., Cui, Y., Kohl, P., & Noble, D. (2012). Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing. British Journal of Pharmacology, 167(5), 932-945. https://doi.org/10.1111/j.1476-5381.2012.02020.x

Concerns over cardiac side effects are the largest single cause of compound attrition during pharmaceutical drug development. For a number of years, biophysically detailed mathematical models of cardiac electrical activity have been used to explore h... Read More about Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing.

Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions (2012)
Journal Article
Bringmann, K., Diamantis, N., & Raum, M. (2013). Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions. Advances in Mathematics, 233(1), 115-134. https://doi.org/10.1016/j.aim.2012.09.025

We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-critical values of L-functions of GL(2) cusp forms. We prove... Read More about Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions.

Further results on common zeros of the solutions of two differential equations (2012)
Journal Article
Asiri, A. (2012). Further results on common zeros of the solutions of two differential equations. Journal of Inequalities and Applications, 2012(222), https://doi.org/10.1186/1029-242X-2012-222

Purpose: Two problems are discussed in this paper. In the first problem, we consider one homogeneous and one non-homogeneous differential equations and study when the solutions of these differential equations can have (nearly) the same zeros. In the... Read More about Further results on common zeros of the solutions of two differential equations.

Dynamics of atom–atom correlations in the Fermi problem (2012)
Journal Article
Borrelli, M., Sabí­n, C., Adesso, G., Plastina, F., & Maniscalco, S. (2012). Dynamics of atom–atom correlations in the Fermi problem. New Journal of Physics, 14, Article 103010. https://doi.org/10.1088/1367-2630/14/10/103010

We present a detailed perturbative study of the dynamics of several types of atom–atom correlations in the famous Fermi problem. This is an archetypal model to study micro-causality in the quantum domain, where two atoms, one initially excited and th... Read More about Dynamics of atom–atom correlations in the Fermi problem.

Rank-based model selection for multiple ions quantum tomography (2012)
Journal Article
Guţă, M., Kypraios, T., & Dryden, I. (2012). Rank-based model selection for multiple ions quantum tomography. New Journal of Physics, 14(105002), https://doi.org/10.1088/1367-2630/14/10/105002

The statistical analysis of measurement data has become a key component of many quantum engineering experiments. As standard full state tomography becomes unfeasible for large dimensional quantum systems, one needs to exploit prior information and th... Read More about Rank-based model selection for multiple ions quantum tomography.

Twist deformations of module homomorphisms and connections (2012)
Presentation / Conference Contribution
Schenkel, A. Twist deformations of module homomorphisms and connections. Presented at Corfu Summer Institute 2011, Corfu, Greece

Let H be a Hopf algebra, A a left H-module algebra and V a left H-module A-bimodule. We study the behavior of the right A-linear endomorphisms of V under twist deformation. We in particular construct a bijective quantization map to the right A_\star-... Read More about Twist deformations of module homomorphisms and connections.