E-Dissertationen: Search
Now showing items 21-30 of 41
Trace-class properties of semi-groups associated with operator valued differential operators and their Witten index
(2021-06-23)
We consider the operator D = ∂ + A(X) in L2(ℝ, H), where ∂ is the closure of the derivative along ℝ in L2(ℝ, H), the operator A(X) is the ...
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 ...
Symplectic Automorphic Forms and Kloosterman Sums
(2021-10-12)
In this thesis, we study automorphic forms on the rank 2 symplectic group Sp(4), in the context of analytic number theory. While much of the abstract theory is described in Langlands’ theory, one needs more explicit formulae ...
Extremes of the discrete Gaussian free field in dimension two
(2021-03-26)
In recent years, there have been many advances towards an understanding of the extreme value theory of log-correlated random fields. Log-correlated random fields are conjectured to compose a universality class for the ......
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 ......
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 ...
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 ...