Mathematisch-Naturwissenschaftliche Fakultät: Suche
Anzeige der Dokumente 41-50 von 80
Shortest Paths and Steiner Trees in VLSI Routing
(2007)
Routing is one of the major steps in very-large-scale integration (VLSI) design. Its task is to find disjoint wire connections between sets of points on a chip, subject to numerous constraints. This problem is solved in a ...
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 ...
Algebraic Aspects of Noncommutative Tori: the Riemann-Hilbert Correspondence
(2007)
In this thesis we have tried to figure out some algebraic aspects of noncommutative tori, aiming at generalizing them to arbitrary noncommutative spaces. In the second section all relevant definitions, some examples and ...
Two results from Morita theory of stable model categories
(2007)
We prove two results from Morita theory of stable model categories. Both can be regarded as topological versions of recent algebraic theorems. One is on recollements of triangulated categories, which have been studied in ...
Galois cohomology of Fontaine rings
(2007)
Let $V$ be a complete discrete valuation ring of mixed characteristic. We express the crystalline cohomology of the special fibre of certain smooth affine $V$-schemes $X=Spec(R)$ tensored with an appropriate ring of $p$-adic ...
Complex Multiplication, Rationality and Mirror Symmetry for Abelian Varieties and K3 Surfaces
(2007)
This thesis consists of three parts. In the first part we study abelian varieties and K3 surfaces of CM-type (i.e. their Hodge group is commutative), aiming at a characterization of complex multiplication via the existence ...
Stochastic calculus in Riemannian polyhedra and martingales in metric spaces
(2007)
The classical stochastic calculus of semimartingales is generalized to semimartingales in polyhedra. The main tool is a local Ito formula for piecewise smooth functions which is given in terms of so-called directional local ...
Eine neue Konstruktion der gewichteten Kohomologie
(2007)
Das Ziel dieser Arbeit ist eine neue Konstruktion der gewichteten Kohomologie von Kongruenzuntergruppen einer halbeinfachen einfach zusammenhängenden algebraischen Gruppe G. Die Konstruktion verwendet einen Abschneidefunktor ...
Manifolds with Killing Spinors and Pinching of First Dirac Eigenvalues
(2007)
We consider compact manifolds with metrics of Hölder regularity C1, a and employ the theory of convergence of Riemannian manifolds in this case, to study Riemannian spin manifolds carrying almost Killing ...
Semisimple Quantum Cohomology, deformations of stability conditions and the derived category
(2007)
The introduction discusses various motivations for the following chapters of the thesis, and their relation to questions around mirror symmetry.
The main theorem of chapter 2 says that if the quantum cohomology of ...
The main theorem of chapter 2 says that if the quantum cohomology of ...