E-Dissertationen: Search
Now showing items 11-20 of 237
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
(2011-11-15)
In this thesis, we study connections between vector bundles on degenerations of elliptic curves and the classical, quantum and associative Yang-Baxter equation. Let g denote n by n traceless matrices and let U denote the ...
On the theory of derivators
(2011-10-27)
In Part 1, we develop some aspects of the theory of derivators, pointed derivators, and stable derivators. As a main result, we show that the values of a stable derivator can be canonically endowed with the structure of a ...
Euler characteristics and geometric properties of quiver Grassmannians
(2011-10-21)
The quiver Grassmannian is the projective variety of subrepresentations of a finite-dimensional representation of a quiver with a fixed dimension vector.
Quiver Grassmannians occur naturally in different contexts. ...
Quiver Grassmannians occur naturally in different contexts. ...
The Zinger deformation of differential equations with maximal unipotent monodromy
(2011-10-28)
In this thesis, in the first part we study the Zinger deformation for the holomorphic solution of a differential equation with maximal unipotent monodromy. It is basically a generalization of the example made by Zinger, ...
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 ...