Fakultäten der Universität Bonn: Suche
Anzeige der Dokumente 11-20 von 26
Cut Cell Methods in Global Atmospheric Dynamics
(2014-02-28)
In this thesis, we study next generation techniques for the numerical simulation of global atmospheric dynamics, which range from modeling and grid generation to discretization schemes.
Based on a detailed dimensional ...
Based on a detailed dimensional ...
On the Hilbert uniformization of moduli spaces of flat G-bundles over Riemann surfaces
(2014-01-27)
In this thesis, we study the moduli spaces M_(g,q)^m (G)of flat pointed principal G-bundles over Riemann surfaces X. The genus of X is g 0 and G is a fixed Lie group. Further, we are given m 0 permutable marked points in ...
Affine Grassmannians and Geometric Satake Equivalences
(2014-02-18)
The work deals with the geometric Satake equivalence. A new proof is given in the case of a split connected reductive group. Further the work extends the ramified geometric Satake equivalence from tamely ramified groups ...
Interlacing Patterns in Exclusion Processes and Random Matrices
(2014-02-11)
In the last decade, there has been increasing interest in the fields of random matrices, interacting particle systems, stochastic growth models, and the connections between these areas. For instance, several objects that ...
Effective Evolution Equations from Many-Body Quantum Mechanics
(2014-05-23)
Systems of interest in physics often consist of a very large number of interacting particles. In certain physical regimes, effective non-linear evolution equations are commonly used as an approximation for making predictions ...
On Some Rigidity Properties in PDEs
(2014-04-16)
This thesis is dedicated to the study of three rigidity properties arising in different partial differential equations: (1) the backward uniqueness property of the heat equation in two-dimensional conical domains, (2) the ...
Contribution to the study of aging in disordered systems
(2014-04-22)
We study general mechanisms that lead to aging behavior of dynamics in random environments. Aging is observed in the behavior of correlation functions that never become independent of the age of the system. A universal ...
Inverse Optimal Stopping and Optimal Closure of Illiquid Positions
(2014-03-24)
Many economic situations are modeled as stopping problems. Examples include job search, pricing of American options, timing of market entry and irreversible investment decisions. The first part of the thesis analyzes optimal ...
Smooth 4-Manifolds and Surface Diagrams
(2014-06-18)
Surface diagrams are a diagrammatic representation of smooth, 4-dimensional manifolds. In fact, a surface diagram encodes a 4-manifold together with a map onto the 2-sphere. After giving a detailed proof of this correspondence, ...
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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