Faculties of University Bonn: Search
Now showing items 331-340 of 556
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
(2018-03-05)
We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are ...
Intrinsic Dimension Estimation using Simplex Volumes
(2018-01-18)
In this thesis, we introduce a novel approach for the estimation of the intrinsic dimension of high-dimensional datasets. For this purpose, the volumes of high-dimensional simplices, with vertex points sampled from local ...
Hodge theoretic aspects of Soergel bimodules and representation theory
(2018-01-19)
In the last years, methods coming from Hodge theory have proven to be fruitful in representation theory, most remarkably leading to a new algebraic proof of the Kazhdan-Lusztig conjectures based on the Hodge theory of ...
Development of a one-step three dimensional approach for the phase unwrapping process in a differential InSAR stack based on Small BAseline Subset (SBAS) interferograms
(2020-08-04)
Differential Interferometric Synthetic Aperture Radar (D-InSAR) is a unique technique to detect and map deformations of the Earth's surface over large temporal and spatial scales. Processing a whole stack of multitemporal ...
The L2-Torsion Polytope of Groups and the Integral Polytope Group
(2018-01-24)
This thesis contains three projects revolving around the L2-torsion polytope. First we show that the L2-torsion polytope of infinite elementary amenable groups vanishes. Then we establish a link between ...
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 ...
Approximation Algorithms for the Traveling Salesman Problem
(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 ...
On some variational problems in geometry
(2018-08-28)
In this thesis we consider several variational problems in geometry that have a connection to the spectrum of the Laplacian acting on functions. In the first part, we study a quantity called the analytic systole, which was ...
On the geometry of nodal sets and nodal domains
(2018-12-13)
In the present work, we study and prove results related to the nodal geometry of Laplacian eigenfunctions on closed Riemannian manifolds, as well as solutions to more general classes of elliptic partial differential ...
Scalable Algorithms for Parallel Tree-based Adaptive Mesh Refinement with General Element Types
(2018-12-12)
In this thesis, we develop, discuss and implement algorithms for scalable parallel tree-based adaptive mesh refinement (AMR) using space-filling curves (SFCs). We create an AMR software that works independently of the used ...