E-Dissertationen: Suche
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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 ...
Vertex Algebras and Factorization Algebras
(2021-07-19)
This thesis is about the relationship between vertex algebras and Costello-Gwilliam factorization algebras, two mathematical approaches to chiral conformal field theory. Many vertex algebras have already been constructed. ......
Embeddings of groups rings and L2-invariants
(2021-06-02)
The strong Atiyah conjecture for a group G, which restricts the possible values taken by L2-Betti numbers of G-CW-complexes, implies far-reaching structural statements about a canonical *-regular ring RℚG, ...
Hyperbolic and dispersive singular stochastic PDEs
(2021-07-19)
The purpose of this thesis is to analyse nonlinear Schrödinger and wave equations which have been perturbed by a singular stochastic potential. The tools are, on the one hand, paracontrolled calculus, and, on the other ...
On steady Kähler-Ricci solitons
(2021-08-26)
In this thesis we study the existence and uniqueness of steady Kähler-Ricci solitons. We consider two classes of manifolds on which we obtain new examples of steady solitons by using different methods for each class. In ...
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. ...