Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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Diophantine Equations and Cyclotomic Fields
(20160309)This thesis examines some approaches to address Diophantine equations, specifically we focus on the connection between the Diophantine analysis and the theory of cyclotomic fields. First, we propose a quick introduction ... 
Diophantine Equations in Many Variables
(20141106)Let K denote a padic field and $F_1,..,F_r \in k[x_1, . . . , x_n]$ be forms with respective degrees $d_1, . . . , d_r$. A contemporary version of a conjecture attributed to E. Artin states that $F_1, . . . , F_r$ have a ... 
Diophantine problems over global fields and a conjecture of Artin over function fields
(20230526)This thesis considers three diophantine problems over different global fields and Artin's primitive root conjecture over function fields. In the first chapter, which is a joint project with Christian Bernert, the main ... 
Diophantine problems: inequalities and abelian varieties
(20231110)In this thesis we consider the density of rational points near manifolds and a bound for the torsion on a simple abelian variety of type IV over a number field. In the first part the main result is an asymptotic for the ... 
Diophantine Representation in Thin Sequences
(20160824)In this work we investigate conditions under which forms of arbitrary degree represent almost all elements of thin sequences (especially the set of squares). Stronger results are given for forms of degree 3 and 4. 
Direktes und inverses Randwertproblem für einen Crack mit Impedanzrandbedingung
(20031125)We consider both direct and inverse scattering problems for an open arc in a plane with an impedance boundary condition.This thesis is divided into two main parts: In the first part we ... 
Discrete and Profinite Groups Acting on Regular Rooted Trees
(20100114)We develop a new method to investigate groups acting on rooted trees. Considering the set of continuous functions from the automorphism group $\operatorname{Aut}X^*$ of a regular rooted tree to a finite field, we associate ... 
Discrete Parameter Estimation for Rare Events: From Binomial to Extreme Value Distributions
(20190613)Estimating a discrete parameter from rare events is a challenging task, since observations are scarce in such situations. In this cumulative dissertation two distinct problems resulting from rare events are discussed and ... 
Distributed Anomaly Detection and Prevention for Virtual Platforms
(20150724)An increasing number of applications are being hosted on cloud based platforms. Cloud platforms are serving as a general computing facility and applications being hosted on these platforms range from simple multitier web ... 
Divisors on K3 surfaces and Hilbert schemes
(20240627)This thesis consists of three chapters. In the first chapter we study rational curves on K3 surfaces and show that on elliptic K3s there are rational curves whose arithmetic genus tends to infinity. In the second chapter ... 
DrinfeldModuln und elliptische Garben
(20050105)In this article we describe in detail the correspondence of Drinfeld modules and elliptic sheaves over an arbitary base. Then we include the concept of level structures into the correspondence. ... 
Dualities and genealogies in stochastic population models
(20180226)In the thesis, population processes are studied in two different settings. In Part I, which arose in collaboration with Dr. Jan Swart, a socalled cooperative branching process is considered. We construct this process ... 
Dynamic Resource Scheduling in Cloud Data Center
(20151026)Cloud infrastructure provides a wide range of resources and services to companies and organizations, such as computation, storage, database, platforms, etc. These resources and services are used to power up and scale out ... 
Early Cognitive Vision: Feedback Mechanisms for the Disambiguation of Early Visual Representation
(20080425)Recent years have seen considerable progress in low level image processing as well as model based, vision applications. Joining the two fields proves to be a difficult problem due to the local ambiguity and noisiness ... 
Efficiency and Robustness Issues in Complex Statistical Designs for TwoColor Microarray Experiments
(20051227)Identifying differentially expressed genes is one of the common goals of microarray experiments. The use of an efficient design in microarray experiments can improve the power of the ... 
Efficient Data Management and Policy Composition for Softwaredefined Networking
(20190829)Network softwarization changes the way how should networks be managed. Introducing Softwaredefined Networking in the last decade helps network administrators focus on network management and write optimized applications ... 
Efficient RangeFree MonteCarloLocalization for Mobile Wireless Sensor Networks
(20151203)A major problem of localization algorithms for Wireless Sensor Networks (WSNs) is the dependence on anchor information. In mobile networks, single node or even whole parts of the network might be temporarily isolated from ... 
Elliptic curves, modular forms, and the associated exponential sums
(20240227)This thesis focuses on the various arithmetic aspects of elliptic curves and modular forms. Employing the exponential sum estimates obtained from sumproduct estimates for finite fields, we estimate exponential sums linked ... 
Elliptical Extended Object Tracking
(20210520)Extended object tracking is an emerging research topic that is motivated by the rapid development of modern sensors. The traditional object tracking assumes a tracked object is far away from the sensor. Therefore, an object ... 
Empirical Bayesian Smoothing Splines for Signals with Correlated Errors: Methods and Applications
(20160812)Smoothing splines is a well stablished method in nonparametric statistics, although the selection of the smoothness degree of the regression function is rarely addressed and, instead, a two times differentiable function, ...