The Faculty of Mathematics and Natural Sciences: Search
Now showing items 11-20 of 215
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 ...
Weak and Measure-Valued Solutions of the Incompressible Euler Equations
(2012-06-21)
This thesis is concerned with the existence problem for weak solutions of the incompressible Euler equations in arbitrary dimension, and with the relationship between weak solutions and other "very weak'' concepts of ...
Obstruction theory for operadic algebras
(2012-05-21)
We study obstruction theory for formality of chain operadic algebras. We construct a canonical class γA for an algebra A over a cofibrant chain operad P∞. This class takes values in the Gamma cohomology ...
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. ...