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Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization
(World Scientific Publishing CompanyInternational Journal of Modern Physics D, 2016-06-01)
We present in detail the Einstein equations in the Baumgarte–Shapiro–Shibata–Nakamura formulation for the case of D-dimensional spacetimes with SO(D−d)isometry based on a method originally introduced in Ref. 1. Regularized ...
Entropy power inequalities for qudits
(American Institute of Physics PublishingJournal of Mathematical Physics, 2016-05-20)
Shannon’s entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule:
f(√a X + √1 − a Y) ≥ a f(X) + (1 − a)f(Y) ∀ a ∈ [0, ...
Lecture notes: Astrophysical fluid dynamics
(Cambridge University PressJournal of Plasma Physics, 2016)
These lecture notes and example problems are based on a course given at the University of Cambridge in Part III of the Mathematical Tripos.
Fluid dynamics is involved in a very wide range of astrophysical phenomena, ...
Secure quantum signatures using insecure quantum channels
(American Physical SocietyPhysical Review A, 2016-03-17)
Digital signatures are widely used in modern communication to guarantee authenticity and transferability of messages. The security of currently used classical schemes relies on computational assumptions. We present a quantum ...
Acoustic boundary conditions at an impedance lining in inviscid shear flow
(Cambridge University PressJournal of Fluid Mechanics, 2016)
The accuracy of existing impedance boundary conditions is investigated, and new impedance boundary conditions are derived, for lined ducts with inviscid shear flow. The accuracy of the Ingard–Myers boundary condition is ...
Electromagnetic transition strengths for light nuclei in the Skyrme model
(American Physical SocietyPhysical Review C, 2016-03-07)
We calculate reduced B(E2) electromagnetic transition strengths for light nuclei of mass numbers B = 8,12,16,20,24, and 32 within the Skyrme model. We find that the predicted transition strengths are of the correct order ...
Numerical study of the unitary Fermi gas across the superfluid transition
(American Physical SocietyPhysical Review A, 2016)
We present results from Monte Carlo calculations investigating the properties of the homogeneous, spin-balanced unitary Fermi gas in three dimensions. The temperature is varied across the superfluid transition allowing us ...
First-order gradient regularisation methods for image restoration: reconstruction of tomographic images with thin structures and denoising piecewise affine images
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsCentre for Mathematical SciencesJesus College, 2016-02-02)
The focus of this thesis is variational image restoration techniques that involve novel non-smooth first-order gradient regularisers: Total Variation (TV) regularisation in image and data space for reconstruction of thin ...
PET Reconstruction with an Anatomical MRI Prior using Parallel Level Sets
(IEEEIEEE Transactions on Medical Imaging, 2016-04-14)
The combination of positron emission tomography (PET) and magnetic resonance imaging (MRI) offers unique possibilities. In this paper we aim to exploit the high spatial resolution of MRI to enhance the reconstruction of ...
Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
(Nature Publishing GroupNature Physics, 2016-01-04)
Despite their inherently non-equilibrium nature [1] , living systems can self-organize in highly ordered collective states [2,3] that share striking similarities with the thermodynamic equilibrium phases [4,5] of conventional ...