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Stochastic Models in Phylogenetic Comparative Methods: Analytical Properties and Parameter Estimation
(2013-09-16)
Phylogenetic comparative methods are well established tools for using inter-species variation to analyse phenotypic evolution and adaptation. They are generally hampered, however, by predominantly univariate approaches and ...
Tracking mathematical giftedness in an egalitarian context
(2013-10-31)
In three different studies upper secondary school head teachers’ characterization and identification of mathematical giftedness was investigated. A survey study (Paper II) explored the conceptions held by 36 randomly ...
Topics on Harmonic analysis and Multilinear Algebra
(2015-09-23)
The present thesis consists of six different papers. Indeed, they treat three different research areas: function spaces, singular integrals and multilinear algebra. In paper I, a characterization of continuity of the ...
Extreme Value Analysis of Huge Datasets: Tail Estimation Methods in High-Throughput Screening and Bioinformatics
(2011-10-13)
This thesis presents results in Extreme Value Theory with applications to High-Throughput Screening and Bioinformatics. The methods described here, however, are applicable to statistical analysis of huge datasets in general. ...
Index theory in geometry and physics
(2011-04-06)
This thesis contains three papers in the area of index theory and its applications in geometry and mathematical physics. These papers deal with the problems of calculating the charge deficiency on the Landau levels and ...
Efficient Adaptive Algorithms for an Electromagnetic Coefficient Inverse Problem
(2017-06-08)
This thesis comprises five scientific papers, all of which are focusing on the inverse problem of reconstructing a dielectric permittivity which may vary in space inside a given domain. The data for the reconstruction ...
Spectral properties of elliptic operators in singular settings and applications
(2019-05-22)
The present thesis is focused on the investigation of the spectral properties of the linear elliptic operators in the presence of singularities. It is divided into three chapters.
In the first chapter, we consider ...
Okounkov bodies and geodesic rays in Kähler geoemtry
(2012-05-10)
This thesis presents three papers dealing with questions in Kähler geometry.
In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to ...
Mathematical Reasoning - In physics and real-life context
(2015-05-05)
This thesis is a compilation of four papers in which mathematical reasoning is examined in various contexts, in which mathematics is an integral part. It is known from previous studies that a focus on rote learning and ...
Topics in convex and mixed binary linear optimization
(2015-05-08)
This thesis concerns theory, algorithms, and applications for two problem classes within the realm of mathematical optimization; convex optimization and mixed binary linear optimization. To the thesis is appended five ...