Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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Some Aspects on Coarse Homotopy Theory
(20100108)The most important examples of coarse spaces arise from proper metrics on spaces or from metrisable compactifications. In both cases, the bounded subsets are precisely the relatively compact ones. On the other hand, one ... 
Some remarks on the central limit theorem for stationary Markov processes
(20040519)The central limit theorem for additive functionals of stationary ergodic Markov processes is investigated via the method of martingale approximations. We give a necessary and sufficient ... 
Sparse Fast Trigonometric Transforms
(20190722)Trigonometric transforms like the Fourier transform or the discrete cosine transform (DCT) are of immense importance in signal and image processing, physics, engineering, and data processing. The research of past decades ... 
Spatial Coherence Enhancing Reconstructions for High Angular Resolution Diffusion MRI
(20160121)A main step in processing and analyzing data obtained from High Angular Resolution Diffusion MRI is the reconstruction of some measure of diffusion per spatial location and per direction in the volume under examination. ... 
Spatial Interpolation and Prediction of Gaussian and MaxStable Processes
(20120704)This thesis deals with different aspects of spatial interpolation and prediction of random fields. In the case of Gaussian random fields, best linear predictors and conditional distributions are wellknown, provided that ... 
Spatiotemporal reasoning for semantic scene understanding and its application in recognition and prediction of manipulation actions in image sequences
(20200421)Human activity understanding has attracted much attention in recent years, due to a key role in a wide range of applications and devices, such as human computer interfaces, visual surveillance, video indexing, intelligent ... 
Stabilisierte Lagrange FiniteElemente im Elektromagnetismus und in der inkompressiblen Magnetohydrodynamik
(20151105)This thesis deals with the usage of nodalbased finite element methods in electromagnetism and incompressible magnetohydrodynamics. At first, we start to investigate the induction equation from Maxwell's equation. We give ... 
Stabilized Finite Element Methods for Coupled Incompressible Flow Problems
(20160128)In this thesis, a finite element discretization of the incompressible NavierStokes equations for a nonisothermal and electrically conducting fluid in a possibly rotating frame of reference is considered. In particular, ... 
Stable Bases for Kernel Based Methods
(20130318)Kernels K arise in many contexts, including approximation, surface reconstruction, numerical analysis of fluidstructure interactions, and geostatistics. In particular, the span of translates K(.,x) for scattered ... 
Statistical and Structural Aspects of Unbalanced Optimal Transport Barycenters
(20221020)Optimal transport (OT) has seen a stellar rise in interest and relevance in the past two decades. More recently, severe limitation of OT have started to surface. Two key factors prevent it from becoming a standard tool in ... 
Statistical Inference for Propagation Processes on Complex Networks
(20140729)Scientists of various research fields have discovered the advantages of networkcentric analysis, which captures complex systems by networks and allows for their representation as a collection of nodes connected by links. ... 
Statistical Methods to Enhance Clinical Prediction with HighDimensional Data and Ordinal Response
(20150408)Advancing technology has enabled us to study the molecular configuration of single cells or whole tissue samples. Molecular biology produces vast amounts of highdimensional omics data at continually decreasing costs, ... 
Statistical Multiscale Segmentation: Inference, Algorithms and Applications
(20140331)This thesis mainly concerns changepoint models with independent observations from an exponential family with constant mean in between changepoints. An inferential scheme for estimation and confidence statements based ... 
Statistical Optimal Transport and its Entropic Regularization: Compared and Contrasted
(20240426)In recent years, statistical methodology based on optimal transport witnessed a considerable increase in practical and theoretical interest. A central reason for this trend is the ability of optimal transport to compare ... 
Die statistische Auswertung von ordinalen Daten bei zwei Zeitpunkten und zwei Stichproben
(20020508)One of the simplest biometrical questions is the comparison of two groups. The thesis deals with such a comparison with additional baseline values under consideration. The baseline values are measured on an ordinal scale ... 
Statistische MultiresolutionsSchätzer in linearen inversen Problemen  Grundlagen und algorithmische Aspekte
(20101215)Applications of statistical multiresolution techniques in regression problems have attracted a lot of attention recently. The main reason for this is that the resulting statistical ... 
Stochastic Models in Population Genetics: The Impact of Selection and Recombination
(20150327)We consider gene genealogies from populations under selective pressure and take into account that genes can be reassembled during the reproduction process due to recombination. The main result is the derivation of an ... 
Structure Analysis of the PohlmeyerRehren Lie Algebra and Adaptations of the Hall Algorithm to NonFree Graded Lie Algebras
(20210614)The PohlmeyerRehren Lie algebra $\mathfrak{g}$ is an infinitedimensional $\mathbb{Z}$graded Lie algebra that was discovered in the context of string quantization in $d$dimensional spacetime by K. Pohlmeyer and his ... 
Surface waves as Fourier integral operators with complex phase
(20230616)This thesis studies linear hyperbolic boundary value problems that admit surface waves as solutions. Surface waves are related to a specific type of weakly regular hyperbolic boundary value problems, where the precise ... 
Symmetric Homotopy Theory for Operads and Weak Lie 3Algebras
(20210114)This thesis consists of two parts: In the first, we develop the homotopy theory of differential graded operads over any unital commutative ring. The main idea is to consider the symmetric group actions as part of the ...