Using Fractal Dimensionality in the Search for Source Models of Ultra-High Energy Cosmic Rays

Although the existence of cosmic rays with energies extending well above $10^{19}$ eV has been confirmed, their origin remains one of the most important questions in astro-particle physics today. Several source models have been proposed for the observed set of Ultra High Energy Cosmic Rays (UHECRs). Yet none of these models have been conclusively identified as corresponding with all of the available data. One possible way of achieving a global test of anisotropy is through the measurement of the information dimension, $D_{\rm I}$, of the arrival directions of a sample of events. $D_{\rm I}$ is a measure of the intrinsic heterogeneity of a data sample. We will show how this method can be used to take into account the extreme asymmetric angular resolution and the highly irregular aperture of a monocular air-fluorescence detector. We will then use a simulated, isotropic event sample to show how this method can be used to place upper limits on any number of source models with no statistical penalty.Comment: LaTeX, 23 pages, 41 figure

Is there competition among ciliates and nematodes?

Bergtold M, Gunther V, Traunspurger W. Is there competition among ciliates and nematodes? FRESHWATER BIOLOGY. 2005;50(8):1351-1359.1. Biotic interaction between the ciliate Cyclidium glaucoma and the nematode Caenorhabditis elegans was investigated by manipulating the densities of the organisms in microcosms with and without sediment. 2. After 11 days the abundance of ciliates, nematodes and bacteria as well as extracellular enzyme activity were determined. Ciliates had a negative effect on nematode abundance in microcosms without sediment and in microcosms with sandy sediment, whereas in muddy sediment the effect was less distinctive. An effect of nematodes on ciliates was not observed. 3. The common resource bacteria were not affected negatively by the activity of the grazers. Overall grazer biomass increased with the addition of sediment to the microcosms, suggesting a rise of the carrying capacity in the experimental system. Especially in muddy sediment the abundance of bacteria and extracellular enzyme activity was higher compared to the microcosms without sediment. 4. The results of the experiment suggest a strong interspecific competition between nematodes and ciliates, where nematodes are, at least temporary, strongly affected