E-Dissertationen: Search
Now showing items 1-10 of 237
Gluing of metric measure spaces and the heat equation with homogeneous Dirichlet boundary values
(2020-07-09)
The first part of this thesis deals with gluing together several copies of an open subset of a metric measure space along the complement. This construction results in a metric measure space. We identify the Cheeger energy ......
Stochastic and deterministic models for the evolution of heterogeneous populations: Multiscale approximation and applications to melanoma T-cell therapy
(2020-07-24)
Stochastic modelling at the interface of mathematics and life sciences has gained great attention over the last decades. The study of many complex biological systems requires models taking random effects into account. Both ...
Faster Circuits for And-Or Paths and Binary Addition
(2020-07-24)
We consider the problem of constructing fast circuits both for binary addition and And-Or paths. And-Or paths are Boolean functions of the form t0 ∧ ( t1 ∨ ( t2 ∧ ( t3 ......
Symmetric Models, Singular Cardinal Patterns, and Indiscernibles
(2012-03-12)
This thesis is on the topic of set theory and in particular large cardinal axioms, singular cardinal patterns, and model theoretic principles in models of set theory without the axiom of choice (ZF).
The first task ......
The first task ......
Dynamical and Mechanistic Effects of High Pressure Fluids in the Earth's Crust
(2012-03-16)
Overpressurized fluids in the lithosphere play a significant role in a diverse range of globally observed natural hazards. Their occurrence during volcanic eruptions or earth degassing processes is apparent, but their ...
Perfectoid spaces
(2012-03-09)
We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings' almost purity theorem, and for which there is a natural tilting operation which exchanges characteristic ......
In Silico Facets of Biochemical Research: Accounts from Protein Folding and Protein-Ligand Interaction Studies
(2020-09-04)
Exponential advancements in computer technology over the last five decades have ubiquitously benefited science and humanity as a whole. Consequent beneficiaries of this surge of computational power include all subfields ......
Factorable Groups and their Homology
(2011-07-04)
In this thesis we introduce the class of factorable groups. These are normed groups together with a norm preserving decemposition (or factorization) of each group element into two factors.
Already the norm alone ...
Already the norm alone ...
Multiscale Analysis of Adaptive Population Dynamics
(2012-01-11)
In this thesis we study a spatial population model based on a class of interacting locally regulated branching processes. The results consist of three parts which are independent of each other. The first part, which is the ...
Über die Nullstellen der Dirichletschen L-Funktionen und die kleinste Primzahl in einer arithmetischen Progression
(2011-11-23)
Seien a und q teilerfremde, positive natürliche Zahlen. Linnik bewies 1944, dass die kleinste Primzahl in einer arithmetischen Progression a modulo q kleiner als Cq^L mit positiven Konstanten C und L ist. Linnik selbst gab ...