E-Dissertationen: Search
Now showing items 1-10 of 26
The fate of a recessive allele in a Mendelian diploid model
(2017-08-23)
The omnipresence of sexual reproduction in a highly competitive world is a fascinating phenomenon. Its evolution and maintenance is up to now not completely understood since it is known that sexual reproduction require ......
Numerical Methods in Shape Spaces and Optimal Branching Patterns
(2017-04-25)
The contribution of this thesis is twofold. The main part deals with numerical methods in the context of shape space analysis, where the shape space at hand is considered as a Riemannian manifold. In detail, we apply and ......
Geometrical Methods for the Analysis of Simulation Bundles
(2017-03-29)
Efficiently analyzing large amounts of high dimensional data derived from the simulation of industrial products is a challenge that is confronted in this thesis. For this purpose, simulations are considered as abstract ...
Mathematical Analysis and Modeling of Signaling Networks
(2017-11-24)
Mathematical models are in focus of modern systems biology and increasingly important to understand and manipulate complex biological systems. At the same time, new and improved techniques in metabolomics and proteomics ...
Rational global homotopy theory and geometric fixed points
(2017-12-20)
We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. ...
Stability of Stochastic Differential Equations with Jumps by the Coupling Method
(2017-10-06)
The topic of this thesis is the study of R^d-valued stochastic processes defined as solutions to stochastic differential equations (SDEs) driven by a noise with a jump component. Our main focus are SDEs driven by pure jump ...
Comonads and Gorenstein Homological Algebra
(2017-10-30)
In this dissertation we study Gorenstein homological algebra and a generalization of the Nakayama functor for finite-dimensional algebras.
In the first part we show that the global Gorenstein projective dimensions ...
In the first part we show that the global Gorenstein projective dimensions ...
Two-row Springer fibers, foams and arc algebras of type D
(2017-08-15)
This thesis is concerned with the geometry, topology and combinatorics arising in the study of arc algebras of types Bm-1 and Dm. These algebras are closely related to infinite-dimensional representation ......
Period, Central Charge and Effective Action on Ricci-Flat Manifolds with Special Holonomy
(2017-06-30)
Motivated by the Gamma conjecture, we introduce a notion of numerical vectors, such as Chern character and Mukai vector, and a notion of numerical t-stabilities and numerical slope functions on triangulated categories. The ...
Singular integrals and maximal operators related to Carleson's theorem and curves in the plane
(2017-08-15)
In this thesis we study several different operators that are related to Carleson's theorem and curves in the plane.
An interesting open problem in harmonic analysis is the study of analogues of Carleson's operator ...
An interesting open problem in harmonic analysis is the study of analogues of Carleson's operator ...