Outputs (159)

Compensated convex transforms and geometric singularity extraction from semiconvex functions (2016)
Journal Article
Zhang, K., Crooks, E., & Orlando, A. (in press). Compensated convex transforms and geometric singularity extraction from semiconvex functions. https://doi.org/10.1360/N012015-00339

The upper and lower compensated convex transforms are `tight' one-sided approximations for a given function. We apply these transforms to the extraction of fine geometric singularities from general semiconvex/semiconcave functions and DC-functions in... Read More about Compensated convex transforms and geometric singularity extraction from semiconvex functions.

Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature (2016)
Journal Article
Barnes, G. E., Schenkel, A., & Szabo, R. J. (2016). Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature. Journal of Geometry and Physics, 106, 234-255. https://doi.org/10.1016/j.geomphys.2016.04.005

We continue our systematic development of noncommutative and nonassociative differential geometry internal to the representation category of a quasitriangular quasi-Hopf algebra. We describe derivations, differential operators, differential calculi a... Read More about Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature.

FDCCS16 molecular simulation of the thermophysical properties and phase behaviour of impure CO2 relevant to CCS (2016)
Journal Article
Cresswell, A. J., Wheatley, R. J., Wilkinson, R. D., & Graham, R. S. (in press). FDCCS16 molecular simulation of the thermophysical properties and phase behaviour of impure CO2 relevant to CCS. Faraday Discussions, 192, https://doi.org/10.1039/C6FD00026F

Impurities from the CCS chain can greatly influence the physical properties of CO2. This has important design, safety and cost implications for the compression, transport and storage of CO2. There is an urgent need to understand and predict the prope... Read More about FDCCS16 molecular simulation of the thermophysical properties and phase behaviour of impure CO2 relevant to CCS.

Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition (2016)
Journal Article
Bruggeman, R., & Diamantis, N. (2016). Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167, https://doi.org/10.1016/j.jnt.2016.03.009

The Fourier coefficient of a second order Eisenstein series is described as a shifted convolution sum. This description is used to obtain the spectral decomposition of and estimates for the shifted convolution sum.

Testing a quantum heat pump with a two-level spin (2016)
Journal Article
Correa, L. A., & Mehboudi, M. (2016). Testing a quantum heat pump with a two-level spin. Entropy, 18(4), 141. https://doi.org/10.3390/e18040141

Once in its non-equilibrium steady state, a nanoscale system coupled to several heat baths may be thought of as a “quantum heat pump”. Depending on the direction of its stationary heat flows, it may function as, e.g., a refrigerator or a heat transfo... Read More about Testing a quantum heat pump with a two-level spin.

Statistically efficient tomography of low rank states with incomplete measurements (2016)
Journal Article
Acharya, A., Kypraios, T., & Guţă, M. (2016). Statistically efficient tomography of low rank states with incomplete measurements. New Journal of Physics, 18(4), https://doi.org/10.1088/1367-2630/18/4/043018

The construction of physically relevant low dimensional state models, and the design of appropriate measurements are key issues in tackling quantum state tomography for large dimensional systems. We consider the statistical problem of estimating low... Read More about Statistically efficient tomography of low rank states with incomplete measurements.

Robustness of Coherence: An Operational and Observable Measure of Quantum Coherence (2016)
Journal Article
Napoli, C., Bromley, T. R., Cianciaruso, M., Piani, M., Johnston, N., & Adesso, G. (2016). Robustness of Coherence: An Operational and Observable Measure of Quantum Coherence. Physical Review Letters, 116(15), Article 150502. https://doi.org/10.1103/PhysRevLett.116.150502

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coher... Read More about Robustness of Coherence: An Operational and Observable Measure of Quantum Coherence.

Robustness of asymmetry and coherence of quantum states (2016)
Journal Article
Piani, M., Cianciaruso, M., Bromley, T. R., Napoli, C., Johnston, N., & Adesso, G. (2016). Robustness of asymmetry and coherence of quantum states. Physical Review A, 93(4), Article 042107. https://doi.org/10.1103/PhysRevA.93.042107

Quantum states may exhibit asymmetry with respect to the action of a given group. Such an asymmetry of states can be considered as a resource in applications such as quantum metrology, and it is a concept that encompasses quantum coherence as a speci... Read More about Robustness of asymmetry and coherence of quantum states.

Synchrony in networks of coupled nonsmooth dynamical systems: extending the master stability function (2016)
Journal Article
Coombes, S., & Thul, R. (2016). Synchrony in networks of coupled nonsmooth dynamical systems: extending the master stability function. European Journal of Applied Mathematics, 27(6), 904-922. https://doi.org/10.1017/S0956792516000115

The master stability function is a powerful tool for determining synchrony in high-dimensional networks of coupled limit cycle oscillators. In part, this approach relies on the analysis of a low-dimensional variational equation around a periodic orbi... Read More about Synchrony in networks of coupled nonsmooth dynamical systems: extending the master stability function.

Reconstructing transmission trees for communicable diseases using densely sampled genetic data (2016)
Journal Article
Worby, C. J., O'Neill, P. D., Kypraios, T., Robotham, J. V., De Angelis, D., Cartwright, E. J., Peacock, S. J., & Cooper, B. S. (2016). Reconstructing transmission trees for communicable diseases using densely sampled genetic data. Annals of Applied Statistics, 10(1), https://doi.org/10.1214/15-AOAS898

Whole genome sequencing of pathogens from multiple hosts in an epidemic offers the potential to investigate who infected whom with unparalleled resolution, potentially yielding important insights into disease dynamics and the impact of control measur... Read More about Reconstructing transmission trees for communicable diseases using densely sampled genetic data.