Description: This article discusses an abstract index theorem on non-compact Riemannian manifolds. Abstract: We prove an abstract index theorem for essentially self-adjoint Fredholm supersymmetric first-order elliptic differential operators on Hermitian vector bundles over complete oriented Riemannian manifolds. According to our main result the supersymmetric L2-index of such an operator can be expressed as the sum of a "local contribution" (the familiar Atiyah-Singer index form, suitably restricted to and integrated over a finite region) and a "boundary contribution" (which depends only on the restriction of the operator at large distances). This is done by splicing together local parametrices and Green's operators defined "at infinity". The result yields (in fact is equivalent to) a generalisation of the relative index theorem of Gromov and Lawson.

Description: This article discusses anomalous diffusion and environment-induced quantum decoherence. Abstract: We study the anomalous diffusion resulting from the standard map in the so-called accelerating state, and we observe that it is determined by unusually large times of sojourn of the classical trajectories in the fractal region at the border between the chaotic sea and the acceleration island. The quantum-mechanical breakdown of this property implies a coherence among so slightly different values of momentum as to become much more robust against environment fluctuations than the quantum localization corresponding to normal diffusion.

Description: This report describes the results of excavations performed by the Institute of Applied Sciences at the Lewisville Lake project, Denton County, Texas. This field work, conducted in 1988, consisted of excavation of five prehistoric sites deemed eligible for nomination to the National Register of Historic Places. The prehistoric sites include Early/Middle/Archaic to Late Prehistoric II occupations. New data were obtained pertaining to resource utilization, past environments, and adaptive strategies. These analyses documented changes in past environments and associated human responses. Adaptive strategies included changes in territoriality, raw material acquisition and faunal procurement.

Description: This report describes the results of test excavations at 23 prehistoric and 16 historic sites on the periphery of Lewisville Lake, Denton County, Texas. The purpose of this report is to summarize the character and significance of the archaeological sites that were test excavated and recommendations for mitigation at those sites determined eligible for the National Register.

Description: Abstract: This article analyzes the relationship between real interest rates and real growth rates in wages. The stationary of these time series has been discussed in the literature. However, since the net discount ratio, (1 + gτ)/(1 + rτ), is a nonlinear transformation, it is not necessarily stationary even if the interest rate and growth rate in wages series are each stationary. On the other hand, the net discount ratio may be stationary even if the interest rate and growth rate series are both non-stationary. The significant finding of this article is that this ratio is stationary. This conclusion appears robust since it holds for at least four different Treasury securities analyzed: three month, six month, one year, and three year. Therefore, a real net discount ratio, (1 + gτ)/(1 + rτ), can be used with confidence in constructing present value forecasts of expected earnings.