E-Dissertationen: Suche
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Symmetric Models, Singular Cardinal Patterns, and Indiscernibles
(2012-03-12)
This thesis is on the topic of set theory and in particular large cardinal axioms, singular cardinal patterns, and model theoretic principles in models of set theory without the axiom of choice (ZF).
The first task ......
The first task ......
Dynamical and Mechanistic Effects of High Pressure Fluids in the Earth's Crust
(2012-03-16)
Overpressurized fluids in the lithosphere play a significant role in a diverse range of globally observed natural hazards. Their occurrence during volcanic eruptions or earth degassing processes is apparent, but their ...
Perfectoid spaces
(2012-03-09)
We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings' almost purity theorem, and for which there is a natural tilting operation which exchanges characteristic ......
Multiscale Analysis of Adaptive Population Dynamics
(2012-01-11)
In this thesis we study a spatial population model based on a class of interacting locally regulated branching processes. The results consist of three parts which are independent of each other. The first part, which is the ...
Factorable Monoids: Resolutions and Homology via Discrete Morse Theory
(2012-07-26)
We study groups and monoids that are equipped with an extra structure called factorability.
A factorable group can be thought of as a group G together with the choice of a generating set S and a particularly well-behaved ...
A factorable group can be thought of as a group G together with the choice of a generating set S and a particularly well-behaved ...
Selberg and Ruelle zeta functions and the relative analytic torsion on complete odd-dimensional hyperbolic manifolds of finite volume
(2012-08-27)
Let X be a complete hyperbolic manifold of finite volume and of odd dimension d. Firstly, we study Selberg zeta functions on X, prove that these functions have a meromorphic continuation to the entire complex plane and ...
Optimal transport between random measures
(2012-07-17)
We study couplings q• of two equivariant random measures λ• and μ• on a Riemannian manifold (M,d,m). Given a cost function we ask for minimizers of the mean transportation cost per volume. ......
Non-asymptotic Error Bounds for Sequential MCMC Methods
(2012-07-17)
Sequential MCMC methods are a class of stochastic numerical integration methods for target measures $\mu$ which cannot feasibly be attacked directly with standard MCMC methods due to the presence of multiple well-separated ...
On the Γ-convergence of the energies and the convergence of almost minimizers in infinite magnetic cylinders
(2012-07-23)
In this thesis we study static 180 degree domain walls in infinite thin magnetic wires with either a rectangular or a centrally symmetric Lipschitz cross section. We explore the magnetization energy minimization problem ...
Dual weights in the theory of harmonic Siegel modular forms
(2012-07-13)
We define harmonic Siegel modular forms based on a completely new approach using vector-valued covariant operators. The Fourier expansions of such forms are investigated for two distinct slash actions. Two very different ...