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Recently, Aumüller and Dietzfelbinger proposed a version of a dual-pivot Quicksort, called "Count", which is optimal among dual-pivot versions with respect to the average number of key comparisons required. In this master's thesis we provide further probabilistic analysis of "Count". We derive an exact formula for the average number of swaps needed by "Count" as well as an asymptotic formula for the variance of the number of swaps and a limit law. Also for the number of key comparisons the asymptotic variance and a limit law are identified. We also consider both complexity measures jointly and find their asymptotic correlation.
Cleaning an ion beam from unwanted fractions is crucial for intense ion beams. This thesis will explore separation methods using a collimation channel, electric and magnetic dipoles and a velocity selector for low intensity beams on an experimental basis. In addition, statistical data of degassing events during the commissioning of a pentode extraction system for beam energies from 20 - 120keV will be presented.
The aim of this thesis is finding a geometric configuration that allows electron insertion into a Gabor plasma lens in order to increase the density of the confined electrons and provide ignition conditions at parameters where ignition is not possible. First, simulations using CST and bender were conducted to investigate several geometric configurations in terms of their performance of inserting electrons manually. One particular design has been chosen as a basis for an experiment. In order to prepare the experiment, further simulations using the code bender have been conducted to investigate the density distribution that is formed inside the Gabor lens when inserting electrons transversally in compliance with the chosen design. Additionally, bender was used to investigate the impact of the initial electron energy on the distribution inside the lens. Simulations with and without space charge effects have shown a significant impact of the space charge effects on the resulting density dstribution. Therefore, space charge effects have proven to be the major electron redistribution process. A given electron source was characterised in order to find the performance under the conditions inside a Gabor lens. In particular, a transversal magnetic field that will be present in the experiment has to be compensated by shielding the inner regions of the source by a μ-metal layer. Using a μ-metal shield, transversal magnetic fields are sufficiently tolerable to perform measurements in a Gabor lens. Additionally, operating close to 100 eV electron energy yields a maximum in the emitted current. Adding a Wehnelt cylinder to the electron source furthermore improves the extracted current to roughly 1 mA. A test stand consisting of a newly designed anode for the Gabor lens, as well as a terminal for the electron source, was constructed. The electron source was thoroughly characterised in the environment of the Gabor lens and the ignition properties of the new system were evaluated. In further experiments, electron beam assisted ignition by increasing the residual gas pressure was observed and the impact of the position of the electron source on the ignition properties was investigated. In addition, ignition of a sub-critical state, that is a state consisting of potential, magnetic field and pressure that did not yet perform ignition by itself, was performed by increasing the extracted current from the electron source. Finally, the electron source was used to influence a pre-ignited plasma. The density was measured, which was increased by the use of the electron source in most cases. This project is part of the EDEN collaboration (Electron DENsity boosting) of the NNP Group at IAP Frankfurt with INFN institutes in Bologna and Catania.
Computing the diameter of a graph is a fundamental part of network analysis. Even if the data fits into main memory the best known algorithm needs O(n2) [3] with high probability to compute the exact diameter. In practice this is usually too costly. Therefore, heuristics have been developed to approximate the diameter much faster. The heuristic “double sweep lower bound” (dslb) has reasonably good results and needs only two Breadth-First Searches (BFS). Hence, dslb has a complexity of O(n+m). If the data does not fit into main memory, an external-memory algorithm is needed. In this thesis the I/O model by Vitter and Shriver [4] is used. It is widely accepted and has produced suitable results in the past. The best known external-memory BFS implementation has an I/O-complexity of W(pn B + sort(n)) for sparse graphs [5]. But this is still very expensive compared to the I/O complexity of sorting with O(N/B * logM/B (N/B)). While there is no improvement for the external-memory computation of BFS yet, Meyer published a different approach called “Parallel clustering growing approach” (PAR_APPROX) that is a trade-off between the I/O complexity and the approximation guarantee [6].
In this thesis different existing approaches will be evaluated. Also, PAR_APPROX will be implemented and analyzed if it is viable in practice. One main result will be that it is difficult to choose the parameter in a way that PAR_APPROX is reasonably fast for every graph class without using the semi external-memory Single Source Shortest Path (SSSP) implementation by [1]. However, the gain is small compared to external-memory BFS using this approach. Therefore, the approach PAR_APPROX_R will be developed. Furthermore, a lower bound for the expected error of PAR_APPROX_R will be proved on a carefully chosen difficult input class. With PAR_APPROX_R the desired gain will be reached.
The measurement of dielectrons (electron-positron pairs) allows to investigate the properties of strongly interacting matter, in particular the Quark-Gluon Plasma (QGP), which is created in relativistic heavy-ion collisions at the LHC. The evolution of the collision can be probed via dielectrons since electrons do not interact strongly and are created during all stages of the collision. One of the interests in dielectron measurements is motivated by possible modifications of the electromagnetic emission spectrum in the QGP, where pp collisions are used as a medium-free reference. The dielectron spectrum consists of contributions from various processes. In order to estimate contributions of known dielectron sources, simulations of the so-called dielectron cocktail are performed. In this thesis, dielectron cocktails in minimum bias pp collisions at p s = 7 TeV, p–Pb collisions at p sNN = 5.02 TeV and in central (0-10%) and semi-central (20-50%) Pb–Pb collisions at p sNN = 2.76 TeV at the LHC are presented.
The Time Projection Chamber (TPC), a large gaseous detector, is the main particle identification device of the ALICE experiment at the CERN LHC. The desired performance of the TPC defines the requirements for the gas mixture used in the detector. The active volume was filled with either Ne-CO2 (90-10) or Ne-CO2-N2 (90-10-5) during the first LHC running period. For LHC Run 2 the gas mixture is changed to Ar-CO2. Calculations of relevant gas properties are performed for Ar-based gas mixtures and compared to Ne-based gas mixtures to identify the most suitable Ar mixture. The drift velocity of ions in Ar is lower than in Ne. The closing time of the gating grid has to be adjusted accordingly to avoid drift field distortions due to back-drifting ions. The drift times of ions in the TPC readout chambers are calculated for the respective gas mixtures to determine the time to collect all ions from the amplification region. For LHC Run 3 the TPC readout chambers will be upgraded. The Multiwire Proportional Chambers (MWPCs) will be replaced by readout chambers based on Gas Electron Multipliers (GEMs) which are operated in continuous mode. As a consequence an ion backflow of the order of 1% causes significant space-charge distortions in the TPC drift volume. Similar distortions are expected in data taken specifically for the study of space-charge effects at the end of Run 1. The gating grid of the MWPCs is operated in the open state allowing the ions from the amplification region to enter the drift volume. The magnitude of the distortions in this data is measured and compared to the expectations for the TPC upgrade and results from current simulations.
This work proposes to employ the (bursty) GLO model from Bingmer et. al (2011) to model the occurrence of tropical cyclones. We develop a Bayesian framework to estimate the parameters of the model and, particularly, employ a Markov chain Monte Carlo algorithm. This also allows us to develop a forecasting framework for future events.
Moreover, we assess the default probability of an insurance company that is exposed to claims that occur according to a GLO process and show that the model is able to substantially improve actuarial risk management if events occur in oscillatory bursts.
In the second half of the last century, a brave idea of providing aid to developing countries not only because of humanitarian reasons, but also because of a global economic interdependency was born. International organizations shared this view with a great enthusiasm and significantly increased their engagement in low-income countries believing that these nations need to and can be helped. This movement stirred an interest of the academia and, as a result, research on the outcomes of international donors’ engagement in recipient countries started.
The main aim of this thesis is to analyze a broad spectrum of literature on aid effectiveness in developing countries and to summarize the main findings concerning an impact of state fragility and conflict on the efficiency of donor engagement. However, the main focus of this research lies in an own empirical analysis of some well-established hypotheses, as well as in a statistical testing of the outcomes obtained by other authors in a relevant field of study.
The effectiveness of foreign aid...
This work derived the value of α-induced production cross sections of 77Kr and 77Br at α-energies of 12 MeV and 14 MeV, the thick target yields of 77Kr and 77Br at α-energies of 11.19 MeV, 13 MeV and 15.1 MeV and the thick target yield of 80Br as well as 80mBr at an α-energy of 15.1 MeV using the activation technique...
In situ rainwater harvesting has a long history in arid and semi-arid regions of the world buffering water shortages for human consumption and agriculture. In the context of an Integrated Water Resource Management (IWRM) in the Cuvelai Basin in northern Namibia, roof top rainwater harvesting is being introduced to a rural community for the irrigation of household scale gardens for the cultivation of horticulture products. This study elaborates how harvested rainwater can be used for garden irrigation in a sustainable manner evaluating ecologic, economic and social implications. Considering local conditions eight cropping scenarios were designed, including different criteria as well as one and two annual planting seasons. These schemes were tested under present climate conditions and under three future climate change scenarios for 2050 with the help of a tank model designed to model monthly tank inflows and outflows. Special attention was laid on risk and uncertainty aspects of varying inter-annual and interseasonal precipitation and future climate change. A framework for the assessment of sustainability was adapted to the purposes of this study and indicators have been developed in order to assess the cropping and irrigation schemes for sustainability.
The study found that with the given tank size of 30 m³, depending on crop scenario, under optimized conditions a garden area of 60 to 90 m³ can be irrigated. The choice of crops highly impacts water use efficiency and economic profitability, compared to the considerably lower impact of amount of annual planting seasons and future climate change. In the case of worsening future climate conditions, adaptation measures need to be taken as especially the economic as well as the environmental situation are expected to exacerbate due to expected decreases in yields and revenues. Already under present conditions however, the economic dimension represents the most limiting factor to sustainability, particularly due to the excessive investment costs of the rainwater harvesting and gardening facility. Nonetheless, rainwater harvesting in combination with gardening can be regarded as successful in securing household nutrition, providing sufficient horticulture products for household consumption or market sale. At the same time with the optimal choice of crops the investment costs can be recovered within the end of the lifespan of the facility.