Faculties of University Bonn: Search
Now showing items 31-40 of 66
Natural maps in higher Teichmüller theory
(2021-09-17)
In this thesis we consider harmonic maps and barycentric maps in the context of higher Teichmüller theory. We are particularly interested in how these maps can be used to study Hitchin representations. The main results of ...
Algebraic Multigrid for Meshfree Methods
(2020-02-11)
This thesis deals with the development of a new Algebraic Multigrid method (AMG) for the solution of linear systems arising from Generalized Finite Difference Methods (GFDM). In particular, we consider the Finite Pointset ...
Sedimentation of particle suspensions in Stokes flows
(2020-05-14)
In this thesis, we consider problems arising from the physical phenomenon of particle sedimentation. We focus on non-Brownian particles in fluids at zero Reynolds number. Microscopically, the particle
system is described ...
Approximation Algorithms for Traveling Salesman Problems
(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 ...
Heat flow aspects of synthetic Ricci bounds in the extended Kato class
(2022-01-21)
This thesis studies heat flows acting on different objects on possibly singular spaces that admit synthetic lower Ricci curvature bounds by constants, functions, or signed measures. Geometric properties of such spaces and ......
On the membrane model and the discrete Bilaplacian
(2021-04-26)
This thesis is concerned with the membrane model, an example of a discrete random interface model. This model arises, for example, when studying thermal fluctuations in biomembranes. Mathematically, it is given as a Gibbs ...
Symplectic non-squeezing theorem and Hamiltonian partial differential equations
(2021-12-01)
The thesis is concerned with providing a first natural generalization of M. Gromov's non-squeezing symplectic result in infinite dimensional case and applying it within the context of Hamiltonian partial differential ...
Pointwise convergence, maximal functions and regularity issues in harmonic analysis
(2020-03-05)
This cumulative thesis is dedicated to the study of different maximal operators related to pointwise convergence in Fourier Analysis and is divided in three main parts.
The first part is dedicated to regularity results ...
The first part is dedicated to regularity results ...
Mapping Properties of Bäcklund Transformations and the Asymptotic Stability of Soliton Solutions for the Nonlinear Schrödinger and Modified Korteweg-de-Vries Equation
(2020-02-17)
We consider the cubic Nonlinear Schrödinger Equation (NLS) and the Modified Korteweg-de-Vries Equation (mKdV) in the one-dimensional, focusing case. For the mKdV, we also restrict ourselves to the case of real-valued ...
Homological Stability, Characteristic Classes and the Minimal Genus Problem
(2021-04-07)
The purpose of this thesis is to study the (co-)homological properties of the classifying space of subsurface bundles in a trivial background bundle with fiber a manifold M. We will investigate homological stability ...