E-Dissertationen: Suche
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Rational global homotopy theory and geometric fixed points
(2017-12-20)
We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. ...
Stability of Stochastic Differential Equations with Jumps by the Coupling Method
(2017-10-06)
The topic of this thesis is the study of R^d-valued stochastic processes defined as solutions to stochastic differential equations (SDEs) driven by a noise with a jump component. Our main focus are SDEs driven by pure jump ...
Comonads and Gorenstein Homological Algebra
(2017-10-30)
In this dissertation we study Gorenstein homological algebra and a generalization of the Nakayama functor for finite-dimensional algebras.
In the first part we show that the global Gorenstein projective dimensions ...
In the first part we show that the global Gorenstein projective dimensions ...
A Toolbox to Compute the Cohomology of Arithmetic Groups in Case of the Group Sp2(Z)
(2013-03-26)
It is the aim of this thesis to present a toolbox of methods which can be used to compute the group cohomology Hq(Sp2(Z), Mλ) of the Siegel modular group Sp2(Z) ...
Variational Discretization of Higher Order Geometric Gradient Flows Based on Phase Field Models
(2013-03-21)
In this thesis a phase field based nested variational time discretization for Willmore flow is presented.
The basic idea of our model is to approximate the mean curvature by a time-discrete, approximate speed of the ...
The basic idea of our model is to approximate the mean curvature by a time-discrete, approximate speed of the ...
Extensibility of Association Schemes and GRH-Based Deterministic Polynomial Factoring
(2013-03-21)
The subject of the present work is the application of the theory of combinatorial schemes to problems in computational algebra. The principal notions of combinatorial schemes which are studied in this work are association ...
Ricci curvature and gradient flows of the entropy for jump processes
(2013-04-03)
In the first part of this thesis, we present a new notion of Ricci curvature that applies to finite Markov chains. This notion relies on geodesic convexity of the entropy and is analogous to the one introduced by Lott--Villani ...
Finite Volume Methods for Advection Diffusion on Moving Interfaces and Application on Surfactant Driven Thin Film Flow
(2013-01-04)
The thesis is divided into two parts. First, we present two finite volumes schemes for the discretization of convection-diffusion-reaction problems on moving surfaces. The first scheme extends the two point flux approximation ...
Numerische Simulation von Knochenumbauvorgängen um zahnärztliche Implantate mit der Finite-Elemente-Methode
(2013-01-23)
Zur Untersuchung der Knochenumbauvorgänge sind neben klinischen auch biomechanische Methoden, die den Hauptgegenstand der vorliegenden Arbeit bilden, von besonderer Bedeutung. Insbesondere numerische Simulationen der ...
Factorability, Discrete Morse Theory and a Reformulation of K(π, 1)-conjecture
(2013-02-20)
The first aim of this thesis is to study factorable groups and monoids. We give a new family of examples for factorability structures, provided by Garside theory, in particular, we provide a factorability structure on braid ...