We consider an alternative derivation of the GSO Projection in the free fermionic construction of the weakly coupled heterotic string in terms of root systems, as well as the interpretation of the GSO Projection in this picture. We then present an algorithm to systematically and efficiently generate input sets (i.e., basic vectors) in order to study Landscape statistics with minimal computation...

This paper considers a general equilibrium model in which the distinction between uncertainty and risk is formalized by assuming agents have incomplete preferences over statecontingent consumption bundles, as in Bewley (1986). Without completeness, individual decision making depends on a set of probability distributions over the state space. A bundle is preferred to another if and only if it ha...

The Pareto principle is often viewed as a mild requirement compatible with a variety of value judgements. In particular, it is generally thought that it can accommodate different views on the desirable degree of equality. We show that this is generally not true in intertemporal models where some uncertainty prevails. To do so, we formalize the concept of inequality aversion. We show that differ...

We propose a numerical-asymptotic boundary element method for problems of time-harmonic acoustic scattering of an incident plane wave by a soundsoft two-dimensional (2D) screen. Standard numerical schemes have a computational cost that grows at least linearly with respect to the frequency of the incident wave. Here, we enrich our approximation space with oscillatory basis functions carefully de...

Hydro-mechanical transmission (HMT) based hybrid hydraulic vehicle architecture is potentially more efficient than other architectures because: 1) it uses the efficient mechanical transmission for partial power transfer, 2) it allows the engine to operate at its most efficient point. The input coupled power split hybrid vehicle being developed is one such example. The increase in degrees of fre...

Academic leadership is essential for research innovation and impact. Until now, there has been no dedicated measure of leadership by bibliometrics. Popular bibliometric indices are mainly based on academic output, such as the journal impact factor and the number of citations. Here we develop an academic leadership index based on readily available bibliometric data that is sensitive to not only ...

For a general class of pure exchange OLG economies under uncertainty, we provide a complete characterization of the efficiency properties of competitive equilibria when markets are only sequentially complete and the criterion of efficiency is conditional Pareto optimality. We also consider a particular case in which markets fail to be even sequentially complete and provide a characterization wh...

Administrators in all academic institutions across the world have to deal with the unenviable task of comparing researchers on the basis of their academic contributions. Unfortunately, however, there is no reasonably established consensus on the method of arriving at such comparisons, which typically involve trading off accomplishments in teaching, grant writing and academic publication. In thi...