Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 290-309 of 546
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L2-invariants of nonuniform lattices in semisimple Lie groups
(2013-05-03)We compute L²-invariants of certain nonuniform lattices in semisimple Lie groups by means of the Borel-Serre 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
(2007-08-14)In this dissertation we study the lp-cohomology of discrete groups of type FPn. We give a duality statement and prove some vanishing results, in particular for groups with an ... -
L^2-Spektraltheorie für Markov-Operatoren
(2008-02-11)We analyze the spectral properties of Markov operators induced by Markov chains with general state space on certain L2-spaces. Especially we are interested in the question, whether the ... -
Languages, Tools and Patterns for the Specification of Distributed Real-Time Tests
(2004-11-24)For modern distributed systems, it is important that they adhere to real-time requirements, e.g. to deliver a response to a request within a given deadline. For assuring the quality of ... -
Learned infinite elements for helioseismology
(2021-12-16)This thesis presents efficient techniques for integrating the information contained in the Dirichlet-to-Neumann (DtN) map of time-harmonic waves propagating in a stratified medium into finite element discretizations. This ... -
Learning Finite State Machine Specifications from Test Cases
(2010-08-05)Up-to-date 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, ... -
Learning-based Biomimetic Strategies for Developing Control Schemes for Lower Extremity Rehabilitation Robotic Devices
(2023-06-16)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
(2012-09-26)Spam is still an open problem from the network operator's perspective. The common state-of-the-art 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
(2021-11-03)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
(2022-02-17)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
(2004-08-09)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 Douglas-Rachford for Nonconvex Feasibility Problems
(2019-07-01)This thesis investigates the local and global convergence analysis of the relaxed Douglas-Rachford method. This algorithm, which was first proposed over a decade ago, has become a standard procedure in applications. ... -
Local invariants of four-dimensional Riemannian manifolds and their application to the Ricci flow
(2017-12-15)In this thesis, we study the four-dimensional 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 one-parameter family of curves, ... -
Locating median lines and hyperplanes with a restriction on the slope
(2012-10-02)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
(2000-12-19)Quantum fields are known to be singular objects; in particular, their products at coinciding space-time points are ill-defined and lead to divergences. We present a model-independent and mathematically consistent method ... -
Die lokale Struktur von T-Dualitätstripeln
(2007-12-06)There are different approaches for a mathematical understanding of T-duality. We show that the C*-algebraic approach of Mathai and Rosenberg is equivalent to the topological approach of ... -
Long-Term Location-Independent Research Data Dissemination Using Persistent Identifiers
(2017-03-24)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 ... -
L²-Invariants for Self-Similar CW-Complexes
(2020-11-11)L²-invariants are commonly defined only for periodic spaces, that is, spaces with a cocompact action by some discrete group. This thesis develops a theory of L²-invariants for quasi-periodic spaces instead, where the group ... -
Machine learning and statistical analysis to identify determinants of survival in primary glioblastoma using genome wide expression studies
(2022-07-05)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 Learning-Based Analysis of Bird Vocalizations
(2022-04-01)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 ...