We design compact (a few wavelength long) and efficient (>99%) injectors for coupling light into slow Bloch modes of periodic thin film stacks and of periodic slab waveguides. The study includes the derivation of closed-form expressions for the injection efficiency as a function of the group-velocity of injected light, and the proof that 100% coupling efficiencies for arbitrary small group velo...

■ Compressor for dust collection in silos The automated stimulation delivery platform automates and streamlines surface operations, resulting in a smaller footprint, increased efficiencies, and reduced NPT. A combination of bulk material delivery and storage systems, equipment designed for continuous operations, automated processes, and accurate inventory management enables more-efficient, reli...

Testing Exponentiality Versus Pareto Distribution via Likelihood Ratio Tomasz J. Kozubowski a , Anna K. Panorska a , Fares Qeadan a , Alexander Gershunov b & Debra Rominger c a Department of Mathematics and Statistics, University of Nevada, Reno, Nevada, USA b Climate Research Division, Scripps Institution of Oceanography, San Diego, California, USA c Game Design, International Game Technology,...

We show that the Pareto correspondence can be implemented in weakly undominated strategies by bounded mechanisms provided there are at least three agents.

This study examines optimal emission policy in a union of countries. In each country, labor is used in either production or research and development (R&D) which increases the probability of the improvement of production technology. The production of goods in any country incurs emissions that are spread all over the union. A household’s utility in any country depends positively on his personal c...

We consider an oligopolistic market where firms compete in price and quality and where consumers are heterogeneous in knowledge: some consumers know both the prices and quality of the products offered, some know only the prices and some know neither. We show that two types of signalling equilibria are possible. Both are characterised by dispersion and Pareto-inefficiency of the price/quality of...

Making use of the confluent hypergeometric function we can obtain the Laplace-Stieltje transform of the Pareto distribution in the following form ζ(s) = hU(1; 1− h; s) = 1F1(1; 1− h; s)− Γ(1− h)s1F1(1 + h; 1 + h; s). About this transform, we obtain an identity, Γ(1 + h)|U(1, 1− h, s)|2 = ∫ ∞ 0 ∫ ∞ 0 λhe−λ−y |λ+ s|2 + λy 2000 Mathematical Subject Classification: 33C15, 60E07

A fundamental challenge in the design of LEDs is to maximise electro-luminescence efficiency at high current densities. We simulate GaN-based LED structures that delay the onset of efficiency droop by spreading carrier concentrations evenly across the active region. Statistical analysis and machine learning effectively guide the selection of the next LED structure to be examined based upon its ...

This paper characterizes the utility possibility frontier resulting in a model of private voluntary provision of a public good. It is shown that ex-ante lotteries over resource distributions among the agents can be Pareto improving. A corollary is that an equal distribution of resources among the agents, or any distribution where all agents contribute in equilibrium, is always Pareto dominated ...