Fakultäten der Universität Bonn: Suche
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The delta invariant in Arakelov geometry
(2016-05-24)
In this thesis we study Faltings' delta invariant of compact and connected Riemann surfaces.
This invariant plays a crucial role in Arakelov theory of arithmetic surfaces. For example, it appears in the arithmetic ...
This invariant plays a crucial role in Arakelov theory of arithmetic surfaces. For example, it appears in the arithmetic ...
Construction of a Rapoport-Zink space for split GU(1, 1) in the ramified 2-adic case
(2016-07-06)
Let F be a finite extension over the field of 2-adic numbers. In this paper, we construct a Rapoport-Zink-space for the split unitary group in two variables over a ramified quadratic extension of F. For this, we first ...
Essays in Statistics
(2016-03-29)
This thesis is comprised of several contributions to the field of mathematical statistics, particularly with regards to computational issues of Bayesian statistics and functional data analysis.
The first two chapters ...
The first two chapters ...
Simulation of Ion Migration with Particle Dynamics and the Heat-Poisson-Nernst-Planck System
(2016-12-22)
In this thesis we study the numerical simulation of ion migration and its coupled thermal effects. Many of the existing mathematical models in this area of research implicitly rely on thermal equilibrium conditions, despite ...
Analysis of Biochemical Reaction Networks using Tropical and Polyhedral Geometry Methods
(2016-12-21)
The field of systems biology makes an attempt to realise various biological functions and processes as the emergent properties of the underlying biochemical network model. The area of computational systems biology deals ...
Low-rank Tensor Recovery
(2016-10-28)
Low-rank tensor recovery is an interesting subject from both the theoretical and application point of view. On one side, it is a natural extension of the sparse vector and low-rank matrix recovery problem. On the other ...
On Approximability, Convergence, and Limits of CSP Problems
(2016-09-16)
This thesis studies dense constraint satisfaction problems (CSPs), and other related optimization and decision problems that can be phrased as questions regarding parameters or properties of combinatorial objects such as ...
On a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation
(2016-12-22)
We present a study of weak solutions to a kinetic equation of coagulation-fragmentation type. This quadratic equation (QWTE) is the leading order approximation for long times to the isotropic space-homogeneous weak turbulence ...
Scalar curvature rigidity on locally conformally flat manifolds with boundary
(2016-12-21)
Inspired by the work of F. Hang and X. Wang and partial results by S. Raulot, we prove a scalar curvature rigitidy result for locally conformally flat manifolds with boundary in the spirit of the well-known Min-Oo conjecture. ...
Multiscale Simulation of Polymeric Fluids using Sparse Grids
(2016-12-21)
The numerical simulation of non-Newtonian fluids is of high practical relevance since most complex fluids developed in the chemical industry are not correctly modeled by classical fluid mechanics. In this thesis, we implement ...