Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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L2invariants of nonuniform lattices in semisimple Lie groups
(20130503)We compute L²invariants of certain nonuniform lattices in semisimple Lie groups by means of the BorelSerre compactification of arithmetically defined locally symmetric spaces. The main results give new estimates for ... 
l<sup>p</sup>Kohomologie, insbesondere Verschwindungssätze für l<sup>p</sup>Kohomologie
(20070814)In this dissertation we study the lpcohomology of discrete groups of type FPn. We give a duality statement and prove some vanishing results, in particular for groups with an ... 
L^2Spektraltheorie für MarkovOperatoren
(20080211)We analyze the spectral properties of Markov operators induced by Markov chains with general state space on certain L2spaces. Especially we are interested in the question, whether the ... 
Languages, Tools and Patterns for the Specification of Distributed RealTime Tests
(20041124)For modern distributed systems, it is important that they adhere to realtime requirements, e.g. to deliver a response to a request within a given deadline. For assuring the quality of ... 
Learned infinite elements for helioseismology
(20211216)This thesis presents efficient techniques for integrating the information contained in the DirichlettoNeumann (DtN) map of timeharmonic waves propagating in a stratified medium into finite element discretizations. This ... 
Learning Finite State Machine Specifications from Test Cases
(20100805)Uptodate software systems are often modular and need to be changeable. While modularity is believed to reduce software production costs, it also leads to increased difficulty in testing, ... 
Learningbased Biomimetic Strategies for Developing Control Schemes for Lower Extremity Rehabilitation Robotic Devices
(20230616)Lower limb disabilities caused by factors such as amputation, neuromuscular impairment, and traumatic injury can significantly impact mobility and quality of life. To restore impaired functionality, individuals may use ... 
Leveraging Email based Social Networks to Prevent Spam: Framework, System Design and Evaluation
(20120926)Spam is still an open problem from the network operator's perspective. The common stateoftheart strategy is to place filters against spam at the recipient's edge. Although this strategy largely solves the spam problem ... 
Lie Algebras and the Dimension Problem
(20211103)The dimension subgroup problem and the Ore conjecture are two group theoretical problems. In this thesis, translations of these problems to Lie algebras are analyzed and partially solved. 
Limit Laws for Empirical Optimal Transport
(20220217)Optimal Transport (OT) has recently gained increasing attention in various fields ranging from biology to machine learning and mathematics. Especially OT based dissimilarity measures can be designed to respect the underlying ... 
Limit theorems for statistical functionals with applications to dimension estimation
(20040809)This thesis deals with two different types of limit theorems: classical limit theorems and almost sure limit theorems (ASLT).We prove classical limit theorems for a special statistical ... 
Local and Global Analysis of Relaxed DouglasRachford for Nonconvex Feasibility Problems
(20190701)This thesis investigates the local and global convergence analysis of the relaxed DouglasRachford method. This algorithm, which was first proposed over a decade ago, has become a standard procedure in applications. ... 
Local invariants of fourdimensional Riemannian manifolds and their application to the Ricci flow
(20171215)In this thesis, we study the fourdimensional Ricci flow with the help of local invariants.If $(M^4, g(t))$ is a solution to the Ricci flow and $x \in M$, we can associate to the point $x$ a oneparameter family of curves, ... 
Locating median lines and hyperplanes with a restriction on the slope
(20121002)In this thesis, we consider the location of median lines when there is a restriction on the slope of the line to locate as well as the more general location of median hyperplanes when there is a restriction on the slope ... 
Lokale Algebren und Operatorprodukte am Punkt
(20001219)Quantum fields are known to be singular objects; in particular, their products at coinciding spacetime points are illdefined and lead to divergences. We present a modelindependent and mathematically consistent method ... 
Die lokale Struktur von TDualitätstripeln
(20071206)There are different approaches for a mathematical understanding of Tduality. We show that the C*algebraic approach of Mathai and Rosenberg is equivalent to the topological approach of ... 
LongTerm LocationIndependent Research Data Dissemination Using Persistent Identifiers
(20170324)Research data occurs in all scientific experiments, computer simulations, observations or as a derivation from other datasets, literature or publications. As a subset of the general concept of digital data, it is classified ... 
L²Invariants for SelfSimilar CWComplexes
(20201111)L²invariants are commonly defined only for periodic spaces, that is, spaces with a cocompact action by some discrete group. This thesis develops a theory of L²invariants for quasiperiodic spaces instead, where the group ... 
Machine learning and statistical analysis to identify determinants of survival in primary glioblastoma using genome wide expression studies
(20220705)Glioblastoma (GBM) is the most common and highly aggressive brain tumor. GBM poses unique challenges due to high rates of tumor recurrence ( 34%) and resistance to treatment. Despite advances in treatment strategies, the ... 
Machine LearningBased Analysis of Bird Vocalizations
(20220401)Acoustic signals are rich in information content. For humans the skill of listening to sounds and extracting relevant information comes effortlessly. However, for computers this task is quite challenging. Machine hearing ...