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Skip to Search Results- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
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Fall 2015
This thesis is dedicated to the study of some geometric properties on Banach spaces associated to hypergroups. This thesis contains three major parts. The purpose of the first part is to initiate a systematic approach to the study of the class of invariant complemented subspaces of L∞(K), and...
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Fall 2013
We present some inequalities in convex geometry falling under the broad theme of quantifying complexity, or deviation from particularly pleasant geometric conditions: we give an upper bound for the Banach--Mazur distance between an origin-symmetric convex body and the $n$-dimensional cube which...
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Fall 2018
We address several related problems from convex geometry and geometric tomography, which separate along two main themes. The content of this thesis is based on five papers, either published or submitted. The first theme concerns the origin-symmetry and unique determination of convex bodies. A...
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Fall 2022
In this dissertation, various problems related to stochastic (partial) differential equations are investigated. These problems include well-posedness, H\"older continuity of the solution, moments of the solution and their asymptotics. This thesis is divided into three parts. The first part...
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Sources, sinks, and sea lice: determining patch contribution and transient dynamics in marine metapopulations
DownloadSpring 2022
Sea lice are a threat to the health of both wild and farmed salmon and an economic burden for salmon farms. Open-net salmon farms act as reservoirs for sea lice in near coastal areas, which can lead to elevated sea louse levels on wild salmon. With a free living larval stage, sea lice can...
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Spring 2012
Spatial heterogeneity is an important characteristic of large-scale composting, however, only a few spatial models for composting exist to date. In this thesis, a novel spatial model for composting is developed. The model is applicable for any one-, two-, or three-dimensional pile geometry. It...
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Spectral Factorization of Matrices of Laurent Polynomials and Construction of Quasi-tight Framelets
DownloadFall 2018
As a generalization of orthonormal wavelets, tight framelets (also called tight wavelet frames) are of importance in both wavelet analysis and applied sciences due to their many desirable properties in applications. However, tight framelets are often derived from particular refinable functions...
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Fall 2020
The main goal of this work is the development of all-speed numerical methods for the compressible Navier-Stokes equations, i.e. methods that remain efficient in incompressible, weakly compressible, and compressible regimes. To achieve this goal we propose algorithms based on the direction...
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Fall 2012
Most recent studies on delay differential equations are mainly focused on local stability analysis, stability switches, and local existence of Hopf bifurcations with only one delay included, while the global existence of Hopf bifurcation and stability analysis with two delays are hardly...