The Faculty of Mathematics and Natural Sciences: Search
Now showing items 1-10 of 25
Geometric Structures arising from Partial Differential Equations
(2014-01-14)
We study several geometric problems arising from partial differential equations: (1) the geometry of Laplacian Eigenfunctions on smooth, compact manifolds without boundary (2) the energy landscape of the conservation laws ...
The Hotel of Algebraic Surgery
(2014-07-09)
We revisit the algebraic surgery theory and especially the proof of the total surgery obstruction.
The total surgery obstruction was defined by Ranicki for a finite n-dimensional Poincaré complex X as an element in ...
The total surgery obstruction was defined by Ranicki for a finite n-dimensional Poincaré complex X as an element in ...
Sparse Recovery with Fusion Frames
(2014-07-09)
Sparse signal structures have become increasingly important in signal processing applications as the technology progresses and a plethora of data needs to be handled. It has been shown in practice that various signals have ......
On GIT Compactified Jacobians via Relatively Complete Models and Logarithmic Geometry
(2014-07-09)
In this thesis we study modular compactifications of Jacobian varieties attached to nodal curves.
Unlike the case of smooth curves, where the Jacobians are canonical, modular compact objects, these compactifications ...
Unlike the case of smooth curves, where the Jacobians are canonical, modular compact objects, these compactifications ...
Convergence of Multilevel MCMC methods on path spaces
(2014-07-28)
Within this work, the efficiency of Markov Chain Monte Carlo methods on infinite dimensional spaces, such as function spaces, is analyzed. We study two aspects in this respect:
The first aspect is a Multilevel Markov ...
The first aspect is a Multilevel Markov ...
Categorified Uq(sl2)-theory using Bar-Natan’s approach
(2014-06-18)
For V the Uq(sl2)-module which is the quantum version of the natural representation, we categorify the n-fold tensor product of V as a module over the Temperley-Lieb algebra. To do this, we use ...
Categorification of tensor powers of the vector representation of Uq(gl(1|1))
(2014-06-17)
We consider the monoidal subcategory of finite-dimensional representations of Uq(gl(1|1)) generated by the vector representation, and we provide a graphical calculus for the intertwining operators, which enables ...
Transistor-Level Layout of Integrated Circuits
(2014-07-29)
In this dissertation, we present the toolchain BonnCell and its underlying algorithms. It has been developed in close cooperation with the IBM Corporation and automatically generates the geometry for functional groups of ...
Ein systematischer, linear skalierender Fragmentansatz für das Elektronenstrukturproblem
(2014-03-17)
Das Elektronenstrukturproblem bezeichnet eine Familie von Gleichungen, abgeleitet von der Schrödingergleichung, welche das Verhalten von Elektronen im Potential der Atomkerne beschreiben. Zu ihr gehören die Hartree-Fock- ...
Cut Cell Methods in Global Atmospheric Dynamics
(2014-02-28)
In this thesis, we study next generation techniques for the numerical simulation of global atmospheric dynamics, which range from modeling and grid generation to discretization schemes.
Based on a detailed dimensional ...
Based on a detailed dimensional ...