A Multiproject Chip Approach to the Teaching of Analog MOS LSI and VLSI

Multiproject chip implementation has been used in teaching analog MOS circuit design. After having worked with computer simulation and layout aids in homework problems, students designed novel circuits including several high performance op amps, an A/D converter, a switched capacitor filter, a 1 K dynamic RAM, and a variety of less conventional MOS circuits such as a VII converter, an AC/DC converter, an AM radio receiver, a digitally-controlled analog signal processor, and on-chip circuitry for measuring transistor capacitances. These circuits were laid out as part of an NMOS multiproject chip. Several of the designs exhibit a considerable degree of innovation; fabrication pending, computer simulation shows that some may be pushing the state of the art. Several designs are of interest to digital designers; in fact, the course has provided knowledge and technique needed for detailed digital circuit design at the gate level

On factorisation at small x

We investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a collinear model which includes higher twist terms. Unlike the simplest collinear model, the BFKL equation leads to effective anomalous dimensions containing higher-twist pieces which grow as a (non-perturbative) power at small x. While these pieces dominate the effective splitting function at very small x they do not lead to a break-down of factorisation insofar as their effect on the predicted scaling violations remains strongly suppressed.Comment: 17 pages, LaTeX. Updated version corrects some small misprints and adds extra preprint number

The payout phase of pension systems : a comparison of five countries

This paper provides a comparative summary of the payout phase of pension systems in five countries -- Australia, Chile, Denmark, Sweden, and Switzerland. All five countries have large pension systems with mandatory or quasi-mandatory retirement savings schemes. But they exhibit important differences in the structure and role of different pillars, regulation of payout options, level of annuitization, market structure, capital regulations, risk management, and use of risk sharing arrangements. The paper summarizes the experience of these countries and highlights the lessons they offer to other countries.Pensions&Retirement Systems,Debt Markets,Emerging Markets,Insurance&Risk Mitigation,Investment and Investment Climate

A Counterexample to Temporal Differences Learning

Sutton’s TD(N method aims to provide a representation of the cost function in an absorbing Markov chain with transition costs. A simple example is given where the representation obtained depends on A. For X = 1 the representation is optimal with respect to a least-squares error criterion, but as X decreases toward 0 the representation becomes progressively worse and, in some cases, very poor. The example suggests a need to understand better the circumstances under which TD(0) and Q-learning obtain satisfactory neural network-based compact representations of the cost function. A variation of TD(0) is also given, which performs better on the example