Abstract:
Currently, there is a global problem of an increasing need of energy. There will be less fossil fuel, which will be more expensive in the future. The regenerative energies are becoming more and more important. The subject deals the problem of economical feasibility of geothermal energy systems. Its goal is to analyze necesary conditions and aspects of realizing geothermal energy systems in comparison to and competition with traditional energy sources. The geothermal energy recovery is economically advantageous if the investment costs, esp. the drilling costs, could be reduced significantly. It only seems possible to open up a big opportunity for realizing geothermal energy systems by using a rock melt drilling technology, to reduce the investment costs significantly.

Abstract:
Currently, there is a global problem of an increasing need of energy. There will be less fossil fuel, which will be more expensive in the future. The regenerative energies are getting more and more important.The subject deals with the problem of economical feasibility of geothermal energy systems. Its goal is to analyze nessesary conditions and aspects for realizing geothermal energy systems in comparison to and competition with traditional energy sources.The geothermal energy recovery is economically advantageous if the investment costs, esp. the drilling costs, could be reduced significantly. It only seems possible to open up a big opportunity for realizing geothermal energy systems by using a rock melt drilling technology, to reduce the investment costs significantly.

Abstract:
Die Bedeutung der arteriellen Hypertonie als wesentlicher Risikofaktor für kardiovaskul re Erkrankungen ist in zahlreichen Untersuchungen zweifelsfrei belegt. Nach einer Analyse von MacMahon ist ein diastolischer Blutdruckanstieg von 5 mmHg jeweils mit einem bis zu 20 % h heren Risiko verbunden. Dabei kommt der arteriellen Hypertonie in den verschiedenen Gef regionen eine unterschiedliche Bedeutung für die atherosklerotischen Folgeerkrankungen zu. So zeigte sich in der GRIPS-Studie, da der Bluthochdruck für den Schlaganfall und die periphere Verschlu krankheit als wichtigster kardiovaskul rer Risikofaktor anzusehen ist, wohingegen dies beim Myokardinfarkt für die Fettstoffwechselst rung und die erh hte Fibrinogen-Konzentration gilt. Es gilt als wichtig, darauf hinzuweisen, da das kardiovaskul re Risiko des Hochdruckkranken in der Regel nicht nur von der H he des Blutdruckes, sondern vor allen Dingen von einem komplexen kardiovaskul ren Risikobündel und den bereits vorhandenen typischen Organsch den bestimmt wird. Deshalb sollte der betreuende Arzt in der Praxis zur Risikoeinsch tzung folgende vier Fragen beantworten: 1. Liegt wirklich eine Hochdruckerkrankung vor? 2. Welche weiteren Risikofaktoren bestehen? 3. Bestehen bereits typische Organmanifestationen? 4. Was ergibt die Risikostratifizierung?

Abstract:
The recent review of T.M. Illidge on radioimmunotherapy (RIT) of lymphoma highlighted the inherent potential of this particular treatment [1]. While convinced of the efficacy of RIT he regretted the low implementation of RIT in current clinical practice.We would like to elaborate further on the biological agents that have shown efficacy in treatment of follicular lymphoma. In a small series of relapsed indolent lymphoma patients treated in Switzerland with 131I-tositumomab (Bexxar？, GlaxoSmithKline, Brentford, UK), we experienced several long-lasting complete remissions with six of 12 patients (50%) reaching 10-years progression free survival without any further treatment [2]. Similar 10-year progression-free survivals after 131I-tositumomab in relapse have been reported by another group, though at a somewhat lower rate [3]. The Southwest Oncology Group (SWOG) has demonstrated that 67% of follicular lymphoma patients remained progression free more than 5 years after consolidation of CHOP chemotherapy with 131I-tositumomab [4]. Yet, another group has communicated a 50% complete response (CR) rate after 10 years following an initial treatment using abbreviated fludarabine combined with 131I-tositumomab [5]. A high number of persistent CRs at 5 to 6 years was also reported for 131I-tositumomab alone in the initial treatment of follicular lymphoma [6].High efficacy of RIT with 90Y-ibritumomab has also been reported repeatedly including a report demonstrating 5-year relapse free survival in about 20% of relapsed patients [7]; however, 10-year observations are currently not available to us.90Y-ibritumomab (Zevalin？, Spectrum Pharmaceuticals, Henderson, NV, USA) is the only RIT currently approved in Europe, and its successful use in consolidation treatment following chemotherapy has been well documented [8]. On the other hand, rituximab (Mabthera？, Rituxan？, Roche Ltd., Genentech, Basel, Switzerland) maintenance treatment after R-chemotherapy was recently shown to improve

Abstract:
We prove that the edge-reinforced random walk on the ladder ${\mathbb{Z}\times\{1,2\}}$ with initial weights $a>3/4$ is recurrent. The proof uses a known representation of the edge-reinforced random walk on a finite piece of the ladder as a random walk in a random environment. This environment is given by a marginal of a multicomponent Gibbsian process. A transfer operator technique and entropy estimates from statistical mechanics are used to analyze this Gibbsian process. Furthermore, we prove spatially exponentially fast decreasing bounds for normalized local times of the edge-reinforced random walk on a finite piece of the ladder, uniformly in the size of the finite piece.

Abstract:
In this article, we study linearly edge-reinforced random walk on general multi-level ladders for large initial edge weights. For infinite ladders, we show that the process can be represented as a random walk in a random environment, given by random weights on the edges. The edge weights decay exponentially in space. The process converges to a stationary process. We provide asymptotic bounds for the range of the random walker up to a given time, showing that it localizes much more than an ordinary random walker. The random environment is described in terms of an infinite-volume Gibbs measure.

Abstract:
We review results on linearly edge-reinforced random walks. On finite graphs, the process has the same distribution as a mixture of reversible Markov chains. This has applications in Bayesian statistics and it has been used in studying the random walk on infinite graphs. On trees, one has a representation as a random walk in an independent random environment. We review recent results for the random walk on ladders: recurrence, a representation as a random walk in a random environment, and estimates for the position of the random walker.

Abstract:
For a vector field $X$ on a smooth manifold $M$ there exists a smooth but not necessarily Hausdorff manifold $M_\Bbb R$ and a complete vector field $X_\Bbb R$ on it which is the universal completion of $(M,X)$.

Abstract:
For a finite dimensional Lie algebra $\g$ of vector fields on a manifold $M$ we show that $M$ can be completed to a $G$-space in a unversal way, which however is neither Hausdorff nor $T_1$ in general. Here $G$ is a connected Lie group with Lie-algebra $\g$. For a transitive $\g$-action the completion is of the form $G/H$ for a Lie subgroup $H$ which need not be closed. In general the completion can be constructed by completing each $\g$-orbit.

Abstract:
We consider a linearly edge-reinforced random walk on a class of two-dimensional graphs with constant initial weights. The graphs are obtained from $\mathbb{Z}^2$ by replacing every edge by a sufficiently large, but fixed number of edges in series. We prove that the linearly edge-reinforced random walk on these graphs is recurrent. Furthermore, we derive bounds for the probability that the edge-reinforced random walk hits the boundary of a large box before returning to its starting point.