The Faculty of Mathematics and Natural Sciences: Search
Now showing items 91-100 of 215
Untersuchung der Primzahlzählfunktion und verwandter Funktionen
(2015-04-22)
Die Verteilung der Primzahlen ist bekanntlich eng mit den Nullstellen der Riemannschen Zetafunktion verbunden. Insbesondere hat die Riemannsche Vermutung, nach welcher alle nichttrivialen Nullstellen den Realteil 1/2 ...
Counting classes of special polynomials
(2015-04-20)
Most integers are composite and most univariate polynomials over a finite field are reducible. The Prime Number Theorem and a classical result of Gauß count the remaining ones, approximately and exactly.
In two or ...
In two or ...
VLSI Routing for Advanced Technology
(2015-05-05)
Routing is a major step in VLSI design, the design process of complex integrated circuits (commonly known as chips). The basic task in routing is to connect predetermined locations on a chip (pins) with wires which serve ...
Local Smoothing and Well-Posedness Results for KP-II Type Equations
(2015-04-22)
We study two equations of KP-II type: the Kadomtsev-Petviashvili II equation and its cubical generalization (gKP-II)$_{3}$.
In Chapter 3, we discuss the qualitative properties of the Kadomtsev-Petviashvili II equation ...
In Chapter 3, we discuss the qualitative properties of the Kadomtsev-Petviashvili II equation ...
On arithmetic properties of Fuchsian groups and Riemann surfaces
(2015-02-11)
In this thesis, Riemann surfaces and their fundamental groups are studied from an arithmetic point of view. First the image of the absolute Galois group of a number field under Grothendieck's representation with values in ...
Numerical Simulation of Droplets with Dynamic Contact Angles
(2015-02-04)
The numerical simulation of droplet impact is of interest for a vast variety of industrialprocesses, where practical experiments are costly and time-consuming. In these simulations, the dynamic contact angle is a key ...
Ricci curvature bounds for warped products and cones
(2014-07-22)
In this thesis we prove generalized lower Ricci curvature bounds in the sense of optimal transport for warped products and cones over metric measure spaces, and we prove a maximal diameter theorem in this context.
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A Potpourri of Partition Properties
(2014-08-06)
The cardinal characteristic inequality r <= hm3 is proved. Several partition relations for ordinals and one for countable scattered types are given. Moreover partition relations for lexicographically ordered sequences of ...
Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
(2014-08-06)
There two major approaches to the problem of formalizing the notion of a "homotopy theory", they are homotopical algebra and higher category theory. The main result of this thesis is a precise comparison between these ...
Homotopy-Theoretic Studies of Khovanov-Rozansky Homology
(2015-07-29)
This dissertation applies homotopy-theoretic methods to the study of Khovanov-Rozansky homology, a generalization of Khovanov homology (which in turn categorifies the Jones polynomial) that is constructed using categories ......
In dieser Dissertation widme ich mich der homotopietheoretischen Untersuchung der Khovanov-Rozansky Homologie, einer 2004 gefundenen Invariante von Knoten und Verschlingungen im Raum. Sie ist eine Verallgemeinerung der ......
In dieser Dissertation widme ich mich der homotopietheoretischen Untersuchung der Khovanov-Rozansky Homologie, einer 2004 gefundenen Invariante von Knoten und Verschlingungen im Raum. Sie ist eine Verallgemeinerung der ......