Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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Barycenters and ANOVA for Point Pattern Data
(20220510)In this thesis a new metric for point patterns is developed. A heuristic algorithm is presented, that computes barycenters with respect to the new metric. The barycenters are then used in ANOVA procedures, to assess the ... 
Bayes Filters with Improved Measurements for Visual Object Tracking
(20120322)Visual object tracking uses cameras to track target objects in the environment, which has many applications nowadays, such as intelligent surveillance, medical care, intelligent transportation ... 
Bedingungsfaktoren für den erfolgreichen Übergang von Schule zu Hochschule
(20181008)Dropout of students in STEM programs is a major problem when entering university. This thesis provides quantitative surveys of this phenomenon. For this purpose, the creation of a selfcreated test of school is shown first. ... 
Bending energy regularization on shape spaces: a class of iterative methods on manifolds and applications to inverse obstacle problems
(20191213)In applications such as nondestructive testing, geophysical exploration or medical imaging one often aims to reconstruct the boundary curve of a smooth bounded domain from indirect measurements. As a typical example we ... 
BenjaminiSchramm Convergence of Normalized Characteristic Numbers of Riemannian Manifolds
(20200430)We study a weak form of GromovHausdorff convergence of Riemannian manifolds, also known as BenjaminiSchramm convergence. This concept is also applicable to other areas and has widely been studied in the context of ... 
Bipowervariation bei Finanzmarktdaten mit unregelmaessigen Beobachtungsabstaenden
(20080125)This project considers an estimation concept for integreted volatility and variance. We finde an application in volatlity derivatives. We consider continuous stochastic volatility processes ... 
BrownResnick Processes: Analysis, Inference and Generalizations
(20130125)This thesis deals with the analysis, inference and further generalizations of a rich and flexible class of maxstable random fields, the socalled BrownResnick processes. The first chapter gives the ... 
C*quantum groups with projection
(20140625)We propose a general theory to study semidirect products of C quantum groups in the framework of multiplicative unitaries. Starting from a quantum group with a projection we decompose its multiplicative unitary as a product ... 
CartoonResidual Image Decompositions with Application in Fingerprint Recognition
(20191211)Image decompositions into a piecewise smooth part  called a cartoon  and a residual part containing oscillating patterns and/or noise, proved to be very useful in automated image processing, for example in applications ... 
CaseControl Association Tests Correcting for Population Stratification
(20060331)A widely discussed problem in genetic casecontrol association studies is the impact of population stratification when testing for an association between a genetic marker and the disease. Genotyping of additional genetic ... 
Categorification and applications in topology and representation theory
(20130828)This thesis splits into two major parts. The connection between the two parts is the notion of "categorification" which we shortly explain/recall in the introduction. In the first part of this thesis we extend BarNatan's ... 
Challenges and New Solutions for Live Migration of Virtual Machines in Cloud Computing Environments
(20180531)Live Virtual Machine (VM) migration aims to move a VM between hosts without interruption to the services running in the VM. It is a cornerstone technology for cloud management and is critical for decreasing the operating ... 
Change point estimation in noisy Hammerstein integral equations
(20110117)We consider the inverse regression model Y = Hf (X) + ε for several classes of non linear Hammerstein integral operators H. In particular identifiability depending on the integral kernel ... 
Chaos and Chaos Control in Network Dynamical Systems
(20130116)Even fully deterministic dynamics may be chaotic, i.e., essentially unpredictable as time evolves. The first part of this thesis concerns the emergence of chaos in dynamical systems with symmetry, in particular certain ... 
Characteristic and necessary minutiae in fingerprints
(20211022)Fingerprints feature a ridge line pattern inducing an undirected orientation field (OF) which usually features some singularities. Ridges vary in width, inducing a moderately varying ridge frequency (RF). In fingerprint ... 
Characteristic classes of vector bundles with extra structure
(20070205)This work is about properties of characteristic cohomology classes which occur when a special structure on vector bundles is given. I have focused on two different types of these structures, treated in two independent parts. ... 
Characterization and construction of maxstable processes
(20130830)Maxstable processes provide a natural framework to model spatial extremal scenarios. Appropriate summary statistics include the extremal coefficients and the (upper) tail dependence coefficients. In this thesis, the full ... 
Characters on infinite groups and rigidity
(20180502)We show that for a strong extension of discrete measured groupoids $1\to\mathcal{S}\to\mathcal{G}\to\mathcal{Q}\to 1$ with $L\mathcal{G}$ a finite factor, $\mathcal{Q}$ has poperty (T) if and only if the inclusion of ... 
Charakterisierung eines Gebiets durch Spektraldaten eines Dirichletproblems zur Stokesgleichnung
(20040217)We consider an inverse boundary value problem associated with the Stokes equation (in two and in three dimensions) and Dirichlet boundary condition.This problem requires the reconstruction of the ... 
Classical Conjectures in Iwasawa Theory for the split prime Z_pextension and the cyclotomic Z_pextension
(20210415)This thesis constist of three parts. The first one considers the so called split prime Z_p extension over an imaginary quadratic field in which the rational prime p splits. In this setup we discuss the mu=0 conjecture as ...