E-Dissertationen: Auflistung E-Dissertationen nach Klassifikation (DDC) "ddc:510"
Anzeige der Dokumente 21-40 von 384
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The ANOVA decomposition and generalized sparse grid methods for the high-dimensional backward Kolmogorov equation
Hullmann, Alexander (2015-03-12)In this thesis, we discuss numerical methods for the solution of the high-dimensional backward Kolmogorov equation, which arises in the pricing of options on multi-dimensional jump-diffusion processes.
First, we apply ... -
An Application of Kolmogorov's Superposition Theorem to Function Reconstruction in Higher Dimensions
Braun, Jürgen (2009-12-01)In this thesis we present a Regularization Network approach to reconstruct a continuous function ƒ:[0,1]n→R from its function values ƒ(xj) on discrete data points xj, ... -
Approximation Algorithms for the Traveling Salesman Problem
Zhong, Xianghui (2021-05-11)The traveling salesman problem (TSP) is probably one of the best-studied problems in discrete optimization. Given a complete weighted graph with n vertices, the task is to find a tour of minimal length that visits every ... -
Approximation Algorithms for Traveling Salesman Problems
Traub, Vera (2020-04-15)The traveling salesman problem is the probably most famous problem in combinatorial optimization. Given a graph G and nonnegative edge costs, we want to find a closed walk in G that visits every vertex at least once and ... -
Approximation Complexity of Optimization Problems: Structural Foundations and Steiner Tree Problems
Hauptmann, Mathias (2004)In this thesis we study the approximation complexity of the Steiner Tree Problem and related problems as well as foundations in structural complexity theory. The Steiner Tree Problem is one of the most fundamental problems ... -
Arithmetic structures on noncommutative tori with real multiplication
Plazas, Jorge (2007)We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmetic structure on the noncommutative torus. ... -
Assembly Maps and Pseudoisotopy Functors
Pieper, Malte Mario (2019-05-03)In this thesis we show the existence of a stable, smooth pseudoisotopyfunctor and construct in the topological, piecewise linear, and smooth category a zig-zag of natural weak equivalences between the stable pseudoisotopyfunctor ... -
Äquivariante λ-Ringe und kommutative Multiplikationen auf Moore-Spektren
Singer, Julia (2008)Zusatzstruktur auf Ringen in Form von λ-Operationen kann man oft durch Bilden von Potenzen konstruieren, ein typisches Beispiel dafür sind äußere Potenzen von Vektorraumbündeln. In der vorliegenden Arbeit wird der Begriff ... -
Bivariant K-theory of groupoids and the noncommutative geometry of limit sets
Mesland, Bram (2009-07-21)We present a categorical setting for noncommutative geometry in the sense of Connes. This is done by introducing a notion of morphism for spectral triples. Spectral triples are the unbounded cycles for $K$-homology ... -
Cahn–Hilliard-type Equations: Robust Discretization and Efficient Implementation
Penzler, Patrick (2009-05-11)In this work, a robust and efficient numerical method to simulate Cahn–Hilliard-type equations is presented. The considered equations are of fourth order and contain two nonlinearities: one is the concentration-dependent ... -
Cardinals as Ultrapowers: A Canonical Measure Analysis under the Axiom of Determinacy
Bold, Stefan (2009-11-11)This thesis is in the field of Descriptive Set Theory and examines some consequences of the Axiom of Determinacy concerning partition properties that define large cardinals. The Axiom of Determinacy (AD) is a game-theoretic ... -
Casson-Whitney unknotting, Deep slice knots and Group trisections of knotted surface type
Ruppik, Benjamin Matthias (2022-08-26)In this thesis, we study knotted surfaces in 4-dimensional manifolds from three different but interconnected perspectives.
In the first part, we introduce a measure of 'distance', or rather 'length', between ... -
Categorification of tensor powers of the vector representation of Uq(gl(1|1))
Sartori, Antonio (2014-06-17)We consider the monoidal subcategory of finite-dimensional representations of Uq(gl(1|1)) generated by the vector representation, and we provide a graphical calculus for the intertwining operators, which enables ... -
Categorified Uq(sl2)-theory using Bar-Natan’s approach
Schäfer, Gisa (2014-06-18)For V the Uq(sl2)-module which is the quantum version of the natural representation, we categorify the n-fold tensor product of V as a module over the Temperley-Lieb algebra. To do this, we use ... -
Cell Layout Routing
Klotz, Benjamin (2023-08-08)The design of modern computer chips is an immensely complex task that is typically broken down into many subproblems. One of these is the cell layout problem, which is the task of generating a layout for a given input ... -
Centralisers of polynomially growing automorphisms of free groups
Rodenhausen, Moritz (2013-07-31)The main theorem of this thesis asserts that many centralisers in the automorphism groups Aut(F_n) and Out(F_n) of the free group F_n satisfy finiteness property VF, i.e. these centralisers have a finite index subgroup ... -
Class forcing and second-order arithmetic
Krapf, Regula (2017-04-24)We provide a framework in a generalization of Gödel-Bernays set theory for performing class forcing. The forcing theorem states that the forcing relation is a (definable) class in the ground model (definability lemma) and ... -
Classical solutions for a thin–film equation
Knüpfer, Hans (2008)The main part of the thesis provides existence, uniqueness and regularity for the 1-d thin-film equation with linear mobility. The equation is viewed as a classical free boundary problem. The focus is laid on the blow up ... -
Coarsening processes in thin liquid films: Analysis and numerics
Rump, Tobias (2008)In my thesis, I study coarsening processes in thin liquid films on solid substrates. The evolution of the liquid film is determined by the so-called thin film equation. Such processes are investigated in film configurations ...
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Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
Heinloth, Jochen (2003)The aim of these notes is to generalize Laumon's construction [18] of automorphic sheaves corresponding to local systems on a smooth, projective curve C to the case of local systems with indecomposable unipotent ramification ...