### Predictive properties of forecast combination, ensemble methods, and Bayesian predictive synthesis. (arXiv:1911.08662v1 [math.ST])

This paper studies the theoretical predictive properties of classes of forecast combination methods. The study is motivated by the recently developed Bayesian framework for synthesizing predictive densities: Bayesian predictive synthesis. A novel strategy based on continuous time stochastic processes is proposed and developed, where the combined predictive error processes are expressed as stochastic differential equations,…

### Three-dimensional entanglement on a silicon chip. (arXiv:1911.08807v1 [quant-ph])

Entanglement is a counterintuitive feature of quantum physics that is at the heart of quantum technology. High-dimensional quantum states offer unique advantages in various quantum information tasks. Integrated photonic chips have recently emerged as a leading platform for the generation, manipulation and detection of entangled photons. Here, we report a silicon photonic chip that uses…

### Moist Shallow Water Response to Localized Tropical Forcing: Initial Value Problems. (arXiv:1911.08811v1 [physics.ao-ph])

The response of spherical moist and dry shallow water systems to localized tropical imbalances are examined. The nonlinear dry response consists of a combination of Rossby, Kelvin and mixed Rossby-Gravity waves, depending on the nature of the initial condition. Remarkably, most of the power in the nonlinear solution follows linear dispersion curves quite accurately. In…

### The impact of progenitor asymmetries on the neutrino-driven convection in core-collapse supernovae. (arXiv:1911.08819v1 [astro-ph.SR])

The explosion of massive stars in core-collapse supernovae may be aided by the convective instabilities that develop in their innermost nuclear burning shells. The resulting fluctuations support the explosion by generating additional turbulence behind the supernova shock. It was suggested that the buoyant density perturbations arising from the interaction of the pre-collapse asymmetries with the…

### Empirical model of campus air temperature and urban morphology parameters based on field measurement and machine learning in Singapore. (arXiv:1911.08822v1 [physics.soc-ph])

The rising air temperature caused by Urban Heat Island (UHI) effect has become a problem for Singapore, it not only affects the thermal comfort of outdoor microclimate environment, but also increases the cooling energy consumption of buildings. As part of a multiscale and multi-physics urban microclimate model, weather stations were installed at 15 points within…

### NQontrol: An open-source platform for digital control-loops in quantum-optical experiments. (arXiv:1911.08824v1 [physics.ins-det])

Experiments in quantum optics often require a large number of control loops, e.g. for length-stabilization of optical cavities and control of phase gates. These control loops are generally implemented using one of three approaches: commercial (digital) controllers, self-built analog circuitry, or custom solutions based on Field Programmable Gate Arrays (FPGAs) and microcontrollers. Each of these…

### Optical magnetic dipole levitation using a plasmonic surface. (arXiv:1911.08825v1 [physics.optics])

Optically-induced magnetic resonances in non-magnetic media have unlocked magnetic light-matter interactions and led to new technologies in many research fields. Previous proposals for the levitation of nanoscale particles without structured illumination have worked on the basis of epsilon-near-zero surfaces or anisotropic materials but these carry with them significant fabrication difficulties. We report the optical levitation…

### Foldy-Lax approximation of the electromagnetic fields generated by anisotropic inhomogeneities in the mesoscale regime with complements for the perfectly conducting case. (arXiv:1911.08597v1 [math.AP])

The Foldy-Lax (or the point-interaction) approximation of the electromagnetic fields generated by a cluster of small scaled inhomogeneities is derived in the mesoscale regime, i.e. when the minimum distance $\delta$ between the particles is proportional to their maximum radi $a$ in the form $\delta=c_r \; a$ with a positive constant $c_r$ that we call the…

### Reduction of SISO H-infinity Output Feedback Control Problem. (arXiv:1911.08604v1 [math.OC])

We consider the linear matrix inequality (LMI) problem of $H_\infty$ output feedback control problem for a generalized plant whose control input, measured output, disturbance input, and controlled output are scalar. We provide an explicit form of the optimal value. This form is the unification of some results in the literature of $H_\infty$ performance limitation analysis.…

### Joints tightened. (arXiv:1911.08605v1 [math.CO])

In $d$-dimensional space (over any field), given a set of lines, a joint is a point passed through by $d$ lines not all lying in some hyperplane. The joints problem asks to determine the maximum number of joints formed by $L$ lines, and it was one of the successes of the Guth–Katz polynomial method. We…