Thermo-elasticity for anisotropic media in higher dimensions

In this note we develop tools to study the Cauchy problem for the system of thermo-elasticity in higher dimensions. The theory is developed for general homogeneous anisotropic media under non-degeneracy conditions. For degenerate cases a method of treatment is sketched and for the cases of cubic media and hexagonal media detailed studies are provided.Comment: 33 pages, 5 figure

Mining Novel Multivariate Relationships in Time Series Data Using Correlation Networks

In many domains, there is significant interest in capturing novel relationships between time series that represent activities recorded at different nodes of a highly complex system. In this paper, we introduce multipoles, a novel class of linear relationships between more than two time series. A multipole is a set of time series that have strong linear dependence among themselves, with the requirement that each time series makes a significant contribution to the linear dependence. We demonstrate that most interesting multipoles can be identified as cliques of negative correlations in a correlation network. Such cliques are typically rare in a real-world correlation network, which allows us to find almost all multipoles efficiently using a clique-enumeration approach. Using our proposed framework, we demonstrate the utility of multipoles in discovering new physical phenomena in two scientific domains: climate science and neuroscience. In particular, we discovered several multipole relationships that are reproducible in multiple other independent datasets and lead to novel domain insights.Comment: This is the accepted version of article submitted to IEEE Transactions on Knowledge and Data Engineering 201

Charakterisierung von Mückenbrutplätzen im Roßlauer Oberluch

Das Roßlauer Oberluch bietet mit seinen Feuchtflächen ideale Lebensräume für eine artenreiche Fauna und Flora. Auch Stechmücken finden hier gute Reproduktionsbedingungen. Auf Grund der prognostizierten Klimaerwärmung könnten sich diese Bedingungen sogar noch verbessern, denn starke Regenfälle, Überschwemmungen und hohe Temperaturen begünstigen die Fortpflanzung von Stechmücken. Neben den Faktoren, die die Entwicklung der Mücken fördern, wirken natürlich auch regulierende Mechanismen. Neben Fressfeinden spielen Nahrungskonkurrenten eine wichtige Rolle für den Bestand einer Art. Während die Fressfeinde bereits gut untersucht sind, ist über die Nahrungskonkurrenten der Mückenlarven bislang wenig bekannt. Mückenlarven filtrieren organische Partikel aus dem Wasser und beanspruchen demnach dieselben Nahrungsressourcen wie filtrierende Kleinkrebse, sodass Kleinkrebse ernstzunehmende Nahrungskonkurrenten für Mückenlarven sind. 2007 wurde im Rahmen komplexer Untersuchungen im Zusammenhang mit der Deichrückverlegung eine Studie zur Charakterisierung von Mückenbrutplätzen im Roßlauer Oberluch durchgeführt. Die Ergebnisse werden im Folgenden dargestellt

Pesticides reduce regional biodiversity of stream invertebrates

The biodiversity crisis is one of the greatest challenges facing humanity, but our understanding of the drivers remains limited. Thus, after decades of studies and regulation efforts, it remains unknown whether to what degree and at what concentrations modern agricultural pesticides cause regional-scale species losses. We analyzed the effects of pesticides on the regional taxa richness of stream invertebrates in Europe (Germany and France) and Australia (southern Victoria). Pesticides caused statistically significant effects on both the species and family richness in both regions, with losses in taxa up to 42% of the recorded taxonomic pools. Furthermore, the effects in Europe were detected at concentrations that current legislation considers environmentally protective. Thus, the current ecological risk assessment of pesticides falls short of protecting biodiversity, and new approaches linking ecology and ecotoxicology are needed