E-Dissertationen: Search
Now showing items 1-10 of 18
Factorable Groups and their Homology
(2011-07-04)
In this thesis we introduce the class of factorable groups. These are normed groups together with a norm preserving decemposition (or factorization) of each group element into two factors.
Already the norm alone ...
Already the norm alone ...
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, ...
On the Feynman-Kac formula for Schrödinger semigroups on vector bundles
(2011-05-11)
In this thesis we generalize the Feynman-Kac formula to semigroups that correspond to Schrödinger type operators with possibly singular potentials on vector bundles over noncompact Riemannian manifolds.
This ...
This ...
Analytic dilation on complete manifolds with corners of codimension 2
(2011-01-21)
The analytic dilation method was originally used in the context of many body Schrödinger operators. In this thesis we adapt it to the context of compatible Laplacians on complete manifolds with corners of codimension two. ...
The Curve Graph and Surface Construction in S x R
(2011-01-13)
Suppose S is an oriented, compact surface with genus at least two. This thesis investigates the \homology curve complex" of S; a modification of the curve complex first studied by Harvey in which the verticies are required ......
Equilibrium dynamics of continuous unbounded spin systems
(2011-05-25)
The relaxation properties of the Glauber and Kawasaki dynamics are studied for large lattice systems of unbounded continuous spins. For this purpose the logarithmic Sobolev inequality is deduced for the canonical ensemble ...