We study the departures from the classical synchrotron radiation due to noncommutativity of coordinates. We find that these departures are significant, but do not give tight bounds on the magnitude of the noncommutative parameter. On the other hand, these results could be used in future investigations in this direction. We also find an acausal behavior for the electromagnetic field due to the p...

Microcanonical simulations of spectral truncations of the barotropic quasigeostrophic model are utilized to demonstrate systematic departures from Gaussianity in these models. Truncated equations conserve both the energy and the enstrophy, and predictions of the equilibrium statistical theory are Gaussian for all values of geophysical parameters. Nevertheless, nonzero topographic modes induce s...

We summarize recent ...ndings on the construction of designs, to be used in experiments for which regression is the anticipated method of analysis. The designs are to be robust against departures from the assumed linear response and/or departures from the assumption of uncorrelated errors. Included is a discussion of an “in...nitesimal” approach to design. In this approach one aims to minimize ...

Researchers studying daily life mobility patterns have recently shown that humans are typically highly predictable in their movements. However, no existing work has examined the boundaries of this predictability, where human behaviour transitions temporarily from routine patterns to highly unpredictable states. To address this shortcoming, we tackle two interrelated challenges. First, we develo...

An earlier paper showed that the homozygosity (of a population or sample) was a good statistic for testing departures from selective neutrality in the direction of heterozygote advantage or disadvantage. It is here shown that homozygosity is also influenced by the presence of deleterious alleles and by other departures from neutrality, but at a lower order of magnitude of effect if the selectio...

Previous studies have explored the use of departure from Hardy-Weinberg equilibrium (DHW) for fine mapping Mendelian disorders and for general fine mapping. Other studies have used Hardy-Weinberg tests for genotyping quality control. To enable investigators to make rational decisions about whether DHW is due to genotyping error or to underlying biology, we developed an analytic framework and so...

In this paper, a new invariant feature of two-dimensional contours is reported: the Invariance Signature. The Invariance Signature is a measure of the degree to which a contour is invariant under a variety of transformations, derived from the theory of Lie transformation groups. It is shown that the Invariance Signature is itself invariant under shift, rotation and scaling of the contour. Since...

In this article, we consider a class of multiagent network systems that refer to as open (OMASs): in these systems, an indefinite number agents may join or leave the at any time. Focusing on discrete-time evolutions scalar agents, provide novel theoretical framework study dynamical properties OMASs. Specifically, propose suitable notion stability and derive sufficient conditions for it. Our ana...