E-Dissertationen: Search
Now showing items 131-140 of 215
Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds
(2016-10-28)
In this thesis we study the Selberg zeta functions and the analytic torsion of hyperbolic odd-dimensional orbifolds $Gamma backslash mathbb{H}^{2n+1}$. In the first part of the thesis we restrict ourselves to compact ...
Analysis of martensitic microstructures in shape-memory-alloys: A low volume-fraction limit
(2016-11-28)
In this work, we study the limiting behavior of a variational model which arises in the analysis of microstructures at austenite-martensite interfaces in shape-memory alloys. We consider an energy containing an elastic ...
On τ-Tilting Theory and Perpendicular Categories
(2016-11-04)
We extend the classification of finitely generated modules and the combinatorial description of Auslander-Reiten sequences for finite-dimensional string algebras to infinite dimensional completed string algebras. The proof ...
Shock Fluctuations in KPZ Growth Models
(2015-10-09)
The Kardar-Parisi-Zhang (KPZ) universality class is a class of stochastic growth models which has attracted much interest, especially since the discovery about 15 years ago that the Tracy-Widom distributions from random ...
Numerical calculation of automorphic functions for finite index subgroups of triangle groups
(2015-08-20)
We present a new method to calculate automorphic functions for finite index subgroups of triangle groups. Since automorphic functions are holomorphic, it is well known that the real and the imaginary part are both harmonic. ...
Mathematical Analysis of Lattice gradient models & Nonlinear Elasticity
(2015-10-07)
Statistical Mechanics is considered as one of the most sound and confirmed theories in modern physics. In this thesis, we explore the possibility to view a large class of models under the point of view of statistical ...
Algorithms for Circuit Sizing in VLSI Design
(2016-05-10)
One of the key problems in the physical design of computer chips, also known as integrated circuits, consists of choosing a physical layout for the logic gates and memory circuits (registers) on the chip. The layouts ...
Contributions to Stochastic Modelling of the Immune System
(2016-05-12)
During the past century, mathematical modelling of biological processes rapidly developed into a field of high scientific interest. The diversity of mathematical approaches and biological applications is large. Some key ...
On quotients of ω* and automorphisms of P(ω)/fin that preserve or invert the shift
(2016-05-30)
The first part of the dissertation concerns the space ω*:=βω\ω and its quotients. A 2002 result from Bella, Dow, Hart, Hrusak, van Mill and Ursino implies that homeomorphisms between 0-dimensional second-countable Hausdorff ...
Spektraläquivalente Vorkonditionierung lokaler Operatoren mittels H-Matrizen und das Landau-Lifschitz-Modell als Anwendung
(2013-03-25)
Diese Arbeit beschäftigt sich mit der optimalen Vorkonditionierung von Gleichungssystemen resultierend aus der finite Elemente Diskretisierung von elliptischen Differentialgleichung zweiter Ordnung. Anschließend wird ein ...