Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 402-421 of 573
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On Newton-Okounkov bodies, linear series and positivity
(2018-04-04)This thesis consists of four independent articles all connected to the theory of Newton-Okounkov bodies. It contains result about toric degenerations of Del Pezzo surfaces/Bott-Samelson varieties as well as an extension ... -
On projective resolutions of simple modules over the Borel subalgebra S^+(n, r) of the Schur algebra S(n, r) for n ≤3
(2008-03-05)We construct projective resolutions for simple modules over the Borel subalgebras S^+(2,r) and S^+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S^+(2,r) we get a minimal ... -
On the action of the group of automorphisms of the affine plane on instantons
(2011-02-09)We define an action of the group of automorphism of the affine plane on SU(2)-instantons ans investgate the orbits of this action. -
On the Cauchy problem for a class of degenerate hyperbolic equations
(2018-08-31)In this thesis, a pseudodifferential calculus for a degenerate hyperbolic Cauchy problem is developed. The model for this problem originates from a certain observation in fluid mechanics, and is then extended to a more ... -
On the resolvent of the Laplacian on functions for degenerating surfaces of finite geometry
(2005-06-21)We consider families $(Y_n)$ of degenerating hyperbolic surfaces. The surfaces are geometrically finite of fixed topological type. Let $Z_n$ be the Selberg Zeta function of $Y_n$, and let ... -
On the Stability of Julia Sets of Functions having Baker Domains
(2005-01-07)We study the behaviour of Julia sets under perturbation of the underlying functions. We focus on functions whose associated Fatou sets contain Baker domains. In the first chapter we examine ... -
On Turing machines, groupoids, and Atiyha problem
(2011-03-17)Turing dynamical system, an abstract version of a Turing machine, is defined and investigated using groupoids. The main presented application is to the Atiyah problem in group theory. ... -
On two Random Models in Data Analysis
(2017-03-02)In this thesis, we study two random models with various applications in data analysis. For our first model, we investigate subspaces spanned by biased random vectors. The underlying random model is motivated by applications ... -
Online Resource Management
(2015-05-04)In this thesis, we consider several problems related to online resource management. In online optimization, an algorithm has to make decisions based on a sequence of incoming bits of information without knowledge of future ... -
Online Social Network Data Placement over Clouds
(2014-08-11)Internet services today are often deployed and operated in data centers and clouds; users access and use the services by connecting to such data centers from their computing devices. For availability, fault tolerance, and ... -
Ontology-based transformation of natural language queries into SPARQL queries by evolutionary algorithms
(2022-01-21)In this thesis an ontology-driven evolutionary learning system for natural language querying of RDF graphs is presented. The learning system itself does not answer the query, but generates a SPARQL query against the ... -
Optimal Hankel Structured Rank-1 Approximation
(2022-03-10)Hankel matrices are closely related to linear time-invariant (LTI) models, which are widely used in areas like system theory, signal processing, computer algebra, or machine learning. The complexity of such a model is ... -
Optimal Transport Based Methods for Analyzing Co-localization and Statistical Dependence
(2025-07-31)This dissertation develops optimal transport-based methodologies to advance statistical dependency analysis and co-localization studies, with applications in biological imaging. First, we introduce transport dependency, a ... -
Optimizations of Optical Flow Measurement Systems
(2018-10-22)In this cumulative thesis contributions are presented that cover the computational aspects of optical measurement systems for flow investigations in aerodynamics and fluid mechanics. Flow measurements are useful in gaining ... -
Origami Cylinders
(2018-05-02)Origami, the age-old art of folding intricate three-dimensional structures from flat material, has found numerous applications in e.g. the design of deployable structures and mechanical metamaterials. This thesis ... -
PAC-Lernen zur Insolvenzvorhersage und Hotspot-Identifikation
(2008-07-22)Methods of machine learning are a very powerful tool in bioinformatics. Due to their versatility they also proof useful in different fields of application. In case of supervised learning, ... -
Paradifferential Operators and Conormal Distributions
(2020-02-24)In this thesis we develop a generalization of Hörmander’s symbol calculus of conor- mal distributions [Hö07, Chapter 18.2] and provide techniques for applications to nonlinear hyperbolic Partial Differential Equations. ... -
Parallele dynamische Adaption hybrider Netze für effizientes verteiltes Rechnen
(2008-10-27)The presented work covers the research activities and publications of the author in the field of scientifc computing. The article deals with the numeric simulation of aerodynamic effects ... -
Partial Least Squares for Serially Dependent Data
(2016-09-12)In the first paper we consider the partial least squares algorithm for dependent data and study the consequences of ignoring the dependence both theoretically and numerically. Ignoring nonstationary dependence structures ... -
Pathwise Uniqueness of the Stochastic Heat Equation with Hölder continuous o diffusion coefficient and colored noise
(2013-01-15)We consider the stochastic heat equation in $\mathbb{R}_+ \times \mathbb{R}^q$ with multiplicative noise: \[ \partial_t u(t,x) = \frac{1}{2} \Delta u(t,x) + b(t,x,u(t,x)) + \sigma(t,x,u(t,x)) \, \dot{W}(t,x) .\] Here, ...