Diese Dissertation unternimmt es, ganz im Sinne Droysens, den Klosterplan ‚aus seiner Zeit‘, d. h. dem frühen neunten Jahrhundert, und ‚aus sich selbst‘, d. h. seiner materiellen Überlieferung heraus zu verstehen. Das Nachzeichnen des Kultur- und Wis- senshorizonts in den karolingischen Klöstern zu jener Zeit führte im Wesentlichen zu den Ergebnissen, daß der Klosterplan ohne Hilfsgitter entstanden ist, er weder religiö- se Reformvorstellungen (Aniane) noch benediktinische Klosterregeln (RB) ...

A viscous damage model including two damage variables - a local and a nonlocal one - coupled through a penalty term is investigated on three different levels: unique solvability, behaviour as the penalization parameter approaches ∞ and optimal control. Existence, uniqueness and regularity of the solutions are proven. In particular, we give an improved result regarding spacial regularity of the nonlocal damage. Lipschitz continuity as well as Fréchet-differentiability of the solution operato...

Durch die vielfältigen technischen Anwendungsmöglichkeiten mikroverkapselter Systeme besteht ein stetiges Interesse an neuartigen Grenzflächen- und Membranfilmen, die eine effektive Stabilisierung von Emulsionstropfen ermöglichen. Im Rahmen dieser Dissertation wurden erstmals temporär vernetzte Mikrokapseln entwickelt, charakterisiert und ihr Verhalten in externen Zentrifugal- und Scherfeldern untersucht. Im Vordergrund stand dabei der Vergleich zweier unterschiedlicher Substanzklassen, Sorbi...

Electron spins in semiconductors are considered as candidates for quantum bits. This thesis presents a study of the spin dynamics of the strongly localized donor-bound electrons in fluorine-doped ZnSe epilayers via pump-probe Kerr rotation technique. A method exploiting the spin inertia is developed and used to measure the longitudinal spin relaxation time (T1). The excitation of the same samples with helicity-modulated laser pulses results in a transverse nuclear spin polarization, which was...

In this article, we present a-posteriori error estimations in context of optimal control of contact problems; in particular of Signorini’s problem. Due to the contact side-condition, the solution operator of the underlying variational inequality is not differentiable, yet we want to apply Newton’s method. Therefore, the non-smooth problem is regularized by penalization and afterwards discretized by finite elements. We derive optimality systems for the regularized formulation in the continuous...

The consistency of a bootstrap or resampling scheme is classically validated by weak convergence of conditional laws. However, when working with stochastic processes in the space of bounded functions and their weak convergence in the Hoffmann-Jorgensen sense, an obstacle occurs: due to possible non-measurability, neither laws nor conditional laws are well-defined. Starting from an equivalent formulation of weak convergence based on the bounded Lipschitz metric, a classical circumvent is to fo...

The block maxima method in extreme value theory consists of fitting an extreme value distribution to a sample of block maxima extracted from a time series. Traditionally, the maxima are taken over disjoint blocks of observations. Alternatively, the blocks can be chosen to slide through the observation period, yielding a larger number of overlapping blocks. Inference based on sliding blocks is found to be more efficient than inference based on disjoint blocks. The asymptotic variance of the m...

Natural Killer cells efficiently recognize and kill infected or malignant cells and can eliminate several of these cells one after the other in a process called serial killing. The activation of NK cells and how they form conjugates with target cells is well studied, but for the efficient killing of multiple cells, NK cells also have to detach from the previous target cell. The process of detachment is still poorly understood; therefore analyzing the regulation of this process in more detail ...

Real-time systems are designed for applications in which response time is critical. As timing is a major property of such systems, proving timing correctness is of utter importance. To achieve this, a two-fold approach of timing analysis is traditionally involved: (i) worst-case execution time (WCET) analysis, which computes an upper bound on the execution time of a single job of a task running in isolation; and (ii) schedulability analysis using the WCET as the input, which determines whethe...

In this paper, numerical solutions to thermally radiating Marangoni convection of dusty fluid flow along a vertical wavy surface are established. The results are obtained with the understanding that the dust particles are of uniform size and dispersed in optically thick fluid. The numerical solutions of the dimensionless transformed equations are obtained through straightforward implicit finite difference scheme. In order to analyze the influence of various controlling parameters, results are...