The Faculty of Mathematics and Natural Sciences: Search
Now showing items 11-20 of 22
Uniform Boundedness of Pole Order of General Eisenstein Series
(2020-08-24)
This work consists of two parts. In the first part we give a general introduction to the chapter 7 of [L1], and settle down some bases needed for the second chapter in which we prove that the order of the poles of a residual ...
An Easton-like Theorem for all Cardinals in ZF
(2020-07-01)
We show that in Zermelo-Fraenkel Set Theory without the Axiom of Choice (ZF), a surjectively modified Continuum Function θ(κ) can take almost arbitrary values on all cardinals. This is in sharp contrast ......
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 ...
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 ...
The Mukai system of rank two and genus two
(2020-11-19)
We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced ...
Moduli spaces of branched coverings of the plane
(2020-07-03)
In this thesis I build a strong connection between Hurwitz spaces of branched coverings of the complex plane, and moduli spaces M_{g,n} of Riemann surfaces of genus g ≥ 0 with n ≥ 1 boundary components.
I refine a ...
I refine a ...
Théorie de Bruhat-Tits, grassmanniennes affines et modèles locaux
(2020-10-02)
Nous développons la théorie de Bruhat-Tits pour les groupes quasi-réductifs sur les corps discrètement valués, henséliens et excellents, qui se quasi-déploient sur l'henselisé strict. Ensuite, cette théorie est appliquée ...