E-Dissertationen: Suche
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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 ...
Über die Nullstellen der Dirichletschen L-Funktionen und die kleinste Primzahl in einer arithmetischen Progression
(2011-11-23)
Seien a und q teilerfremde, positive natürliche Zahlen. Linnik bewies 1944, dass die kleinste Primzahl in einer arithmetischen Progression a modulo q kleiner als Cq^L mit positiven Konstanten C und L ist. Linnik selbst gab ...
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 ...