Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 483-502 of 548
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Statistische Multiresolutions-Schätzer in linearen inversen Problemen - Grundlagen und algorithmische Aspekte
(2010-12-15)Applications of statistical multiresolution techniques in regression problems have attracted a lot of attention recently. The main reason for this is that the resulting statistical ... -
Stochastic Models in Population Genetics: The Impact of Selection and Recombination
(2015-03-27)We consider gene genealogies from populations under selective pressure and take into account that genes can be reassembled during the reproduction process due to recombination. The main result is the derivation of an ... -
Structure Analysis of the Pohlmeyer-Rehren Lie Algebra and Adaptations of the Hall Algorithm to Non-Free Graded Lie Algebras
(2021-06-14)The Pohlmeyer-Rehren Lie algebra $\mathfrak{g}$ is an infinite-dimensional $\mathbb{Z}$-graded Lie algebra that was discovered in the context of string quantization in $d$-dimensional spacetime by K. Pohlmeyer and his ... -
Surface waves as Fourier integral operators with complex phase
(2023-06-16)This thesis studies linear hyperbolic boundary value problems that admit surface waves as solutions. Surface waves are related to a specific type of weakly regular hyperbolic boundary value problems, where the precise ... -
Symmetric Homotopy Theory for Operads and Weak Lie 3-Algebras
(2021-01-14)This thesis consists of two parts: In the first, we develop the homotopy theory of differential graded operads over any unital commutative ring. The main idea is to consider the symmetric group actions as part of the ... -
Symmetric Squaring in Homology and Bordism
(2011-11-10)Looking at the cartesian product X × X of a topological space X with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that ... -
The analysis of Toeplitz operators, commutative Toeplitz algebras and applications to heat kernel constructions.
(2012-06-21)This dissertation is devoted to the study of certain analytic problems inspired by recent results in the theory of Toeplitz operators on the Bergman spaces. We attack the problem of commuting Toeplitz operators with ... -
The Barban-Davenport-Halberstam for tuples of k-free numbers
(2020-10-23)An asymptotic formula for variance of tuples of k-free numbers in arithmetic progressions -
The Capitulation Problem in Class Field Theory
(2012-04-10)We develop Chevalley's Theorem and interesting implications. Revisiting Galois Cohomology we analyse the structure of the capitulation kernel. Moreover investigate the growth of ideal classes and consequences of a ... -
The contact process in an evolving random environment
(2021-11-26)Recently, there has been an increasing interest in interacting particle systems on evolving random graphs, respectively in time evolving random environments. In this thesis a contact process in a time evolving edge random ... -
The distribution of rational points on some projective varieties
(2020-01-09)This thesis is concerned with establishing Manin's conjecture on the distribution of ratinal points for a certain class of bihomogeneous varieties. It generalizes work of Vaughan on the representation of integers as sum ... -
The Empirical Hierarchical Bayes Approach for Pathway Integration and Gene-Environment Interactions in Genome-Wide Association Studies
(2012-10-24)Complex diseases such as cancer result from a complicated interplay of multiple genetic and environmental factors. To unveil their genetic component, the simple analysis of single-nucleotide polymorphisms (SNP) as done in ... -
The Generalized Operator Based Prony Method
(2019-05-10)The well known Prony method was introduced to reconstruct finite linear combinations of complex exponentials. A first approach towards generalizing this method to more arbitrary expansions was made by Peter & Plonka in ... -
The Geometry of the Milnor Number
(2012-06-12)In the first part of this thesis we derive a volume-preserving normal form for function germs in n complex variables which are right equivalent to the product of all coordinates. In the second part of the thesis we discuss ... -
The Index Bundle for Gap-Continuous Families, Morse-Type Index Theorems and Bifurcation
(2011-11-21)We generalise the well known index bundle construction of Atiyah and Jänich to families of (generally unbounded) Fredholm operators which are assumed to be continuous with respect to the ... -
The integration of different functional and structural plant models
(2019-07-09)Plant scientists use Functional and Structural Plant (FSP) Models to model the interactions between the biological functions and physical structures within a limited space-time range. To break through the limitation, an ... -
The Integration of the Brain Bank Imaging Workflow into the Infrastructure of the Multiple Sclerosis Research Network
(2019-03-26)Digital pathology (DP) provides powerful tools for the acquisition, management, storage, viewing, and analysis of high-resolution digital microscope images. During the last decade, DP tools were increasingly used for a ... -
The Inter-Domain Key Exchange Protocol
(2006-02-27)This thesis introduces, specifies and evaluates a novel key establishment mechanism to enable seamless authenticated handovers in IP networks called Inter-Domain Key Exchange Protocol (IDKE). ... -
The Likelihood Ratio Test for Order Restricted Hypotheses in Non-Inferiority Trials
(2003-10-16)In clinical investigations with the goal to evaluate new therapies, the efficacy of a new therapy is usually declared by its superiority over a palcebo or standard. In the last decade new approaches became popular focussing ... -
The M2X Economy – Concepts for Business Interactions, Transactions and Collaborations Among Autonomous Smart Devices
(2020-01-07)Nowadays, business transactions almost exclusively focus on human-to-human transactions. The persistent growth and expansion of the Internet of Things, the ubiquitousness of so called smart devices, as well as progressing ...