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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. ...
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 ...
New AI-based methods for studying antibiotic-resistant bacteria
(2023-11-03)
Antibiotic resistance is a growing challenge for human health, causing millions of deaths worldwide annually. Antibiotic resistance genes (ARGs), acquired through mutations in existing genes or horizontal gene transfer, ...
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 ...
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 ...
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 ...
Mathematical Modelling of Cellular Ageing: a Multi-Scale Perspective
(2022-04-19)
In a growing and increasingly older population, we are progressively challenged by the impact of ageing on individuals and society. The UN declared the years 2021-2030 as the Decade of Healthy Ageing, highlighting the ...
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 ...
Hodge Theory in Combinatorics and Mirror Symmetry
(2024-10-22)
Hodge theory, in its broadest sense, encompasses the study of the decomposition of cohomology groups of complex manifolds, as well as related fields such as periods, motives, and algebraic cycles.
In this thesis, ideas ...