The Faculty of Mathematics and Natural Sciences: Search
Now showing items 1-10 of 92
Reformulation of the Hermitean 1-Matrix Model as an Effective Field Theory
(2009-07-22)
The formal Hermitean 1-matrix model is shown to be equivalent to an effective field theory. The correlation functions and the free energy of the matrix model correspond directly to the correlation functions and the free ...
Stochastic Interacting Particle Systems and Nonlinear Partial Differential Equations from Fluid Mechanics
(2007)
We derive stochastic particle approximations for two nonlinear partial differential equations from fluid mechanics: the porous medium equation and the three-dimensional Navier-Stokes equation. We associate interacting ...
Modellierung und Simulation des effektiven Verhaltens von Grenzflächen in Metalllegierungen
(2007)
Die vorliegende Arbeit diskutiert die Modellierung und die numerische Simulation von Phasenübergängen bei der Ostwald-Reifung entmischter Metalllegierungen und in magnetischen Formgedächtnis-Materialien. Dabei werden die ...
Gelfand pairs
(2005)
Let K be a compact subgroup of a real Lie group G. The homogeneous space G/K is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on G/K is ...
Äquivariante λ-Ringe und kommutative Multiplikationen auf Moore-Spektren
(2008)
Zusatzstruktur auf Ringen in Form von λ-Operationen kann man oft durch Bilden von Potenzen konstruieren, ein typisches Beispiel dafür sind äußere Potenzen von Vektorraumbündeln. In der vorliegenden Arbeit wird der Begriff ...
Hodge classes on self-products of K3 surfaces
(2009-07-03)
This thesis consists of four parts which investigate different aspects of Hodge classes on self-products of K3 surfaces.
In the first three parts we present three different strategies to tackle the Hodge conjecture ...
In the first three parts we present three different strategies to tackle the Hodge conjecture ...
Some asymptotic results on non-standard likelihood ratio tests, and Cox process modeling in finance
(2002)
This dissertation consists of two parts. In the first part, the subject of hypothesis testing is addressed. Here, non-standard formulations of the null hypothesis are discussed, e.g., non-stationarity under the null, and ...
A Unifying Theory for Nonlinear Additively and Multiplicatively Preconditioned Globalization Strategies: Convergence Results and Examples From the Field of Nonlinear Elastostatics and Elastodynamics
(2009-10-08)
Nonlinear right preconditioned globalization strategies for the solution of nonlinear programming problems of the following kind $u \in \mathcal B \subset \mathbb R^n: J(u) = \min!$ where $\mathcal B$ is a convex set of ...
Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
(2003)
The aim of these notes is to generalize Laumon's construction [18] of automorphic sheaves corresponding to local systems on a smooth, projective curve C to the case of local systems with indecomposable unipotent ramification ...
Adaptive Scattered Data Fitting with Tensor Product Spline-Wavelets
(2005)
The core of the work we present here is an algorithm that constructs a least squares approximation to a given set of unorganized points. The approximation is expressed as a linear combination of particular B-spline wavelets. ...
