Persistent homology of groups

We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent homology may be a useful tool in the study of prime-power groups.Comment: 12 pages, 6 figure

UK Business Investment: Long-Run Elasticities and Short-Run Dynamics

From neoclassical theory output, capital stock and the user cost are cointegrated; capital and investment also (multi)cointegrate through the capital accumulation identity. An investment equation is estimated on UK data using a new capital stock series and a long series for the weighted cost of capital. Assuming CES technology, the elasticity of substitution is well-determined and below unity. Over-identifying restrictions are accepted. The long-run parameter is robust to alternative specifications, but single-equation investment relationships may obscure the dynamics. The Johansen method is over-sized, but outperforms a single equation test for excluding the capital accumulation identity from the investment equation.investment, capital stock, identification, multicointegration

Astrophysical signatures of leptonium

More than 10^43 positrons annihilate every second in the centre of our Galaxy yet, despite four decades of observations, their origin is still unknown. Many candidates have been proposed, such as supernovae and low mass X-ray binaries. However, these models are difficult to reconcile with the distribution of positrons, which are highly concentrated in the Galactic bulge, and therefore require specific propagation of the positrons through the interstellar medium. Alternative sources include dark matter decay, or the supermassive black hole, both of which would have a naturally high bulge-to-disc ratio. The chief difficulty in reconciling models with the observations is the intrinsically poor angular resolution of gamma-ray observations, which cannot resolve point sources. Essentially all of the positrons annihilate via the formation of positronium. This gives rise to the possibility of observing recombination lines of positronium emitted before the atom annihilates. These emission lines would be in the UV and the NIR, giving an increase in angular resolution of a factor of 10^4 compared to gamma ray observations, and allowing the discrimination between point sources and truly diffuse emission. Analogously to the formation of positronium, it is possible to form atoms of true muonium and true tauonium. Since muons and tauons are intrinsically unstable, the formation of such leptonium atoms will be localised to their places of origin. Thus observations of true muonium or true tauonium can provide another way to distinguish between truly diffuse sources such as dark matter decay, and an unresolved distribution of point sources.Comment: Accepted for publication in EPJ-D, 9 pages, 4 figure

QCD corrections to the hadronic production of a heavy quark pair and a W-boson including decay correlations

We perform an analytic calculation of the one-loop amplitude for the W-boson mediated process 0 \to d u-bar Q Q-bar l-bar l, retaining the mass for the quark Q. The momentum of each of the massive quarks is expressed as the sum of two massless momenta and the corresponding heavy quark spinor is expressed as a sum of two massless spinors. Using a special choice for the heavy quark spinors we obtain analytic expressions for the one-loop amplitudes which are amenable to fast numerical evaluation. The full next-to-leading order (NLO) calculation of hadron+hadron \to W(\to e nu) b b-bar with massive b-quarks is included in the program MCFM. A comparison is performed with previous published work.Comment: 45 pages, 17 figure

Ecosystemic Practice-Research (for the Benefit of Others)

This writing is about the relationships between artistic processes, artistic works, and how we might frame these as practice research. It has two aims: 1) to describe when artistic processes are framed as practice research through written forms, and the implications of this timing; and ii) to propose that our responsibility as practice researchers is to draw our work deeply into dialogue with other artistic work that exists in tangible ecosystems of artistic practice. The alternative is the status quo in which we rely on arguments made by the authority of totemic theoreticians who exist beyond our communities of practice. These ideas are not specific to dance practice research, but rather are about practice research more broadly. As part of the writing I use as an example an artwork of mine that emerged through body-based practices – Children of the Soil – to explore the messiness of how we might reliably produce practice research while respecting the unfinished thinking of the artwork itself

Artists' Pages

No abstract availableThis text-based adaptation of a performance-presentation was originally published by Parallel Press, an imprint of the University of Wisconsin-Madison Libraries, as part of The International Journal of Screendance, Volume 1 (2010), Parallel Press. It is made available here with the kind permission of Parallel Press