Search for dissertations about: "correlation dimension"
Showing result 1 - 5 of 63 swedish dissertations containing the words correlation dimension.
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1. Topics in multifractal measures, nonparametrics and biostatistics
Abstract : This thesis consists of four papers. The first two papers, which comprise the main part of the thesis, deal with an unexpected connection between kernel density estimators and dimension spectra for multifractal measures. READ MORE
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2. Correlation Effects in One-dimensional Electron Systems
Abstract : Theoretical studies suggest that an interacting one-dimensional electron system does not behave as a Fermi liquid. Instead, it is predicted to form a Luttinger liquid characterized e.g. by the absence of fermionic quasiparticles and interaction-dependent power-laws for transport quantities. READ MORE
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3. A periodically Ordered Structures in One Dimension
Abstract : This thesis deals with different aspects of aperiodically ordered structures in one dimension. The approach is entirely theoretical, and the models used have various relevance for real systems. READ MORE
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4. Non-overlapping Germ-grain Models: Characteristics and Material Modelling
Abstract : We consider three different non--overlapping germ--grain models, two of which are constructed in a similar fashion. These two models are generalisations of Mat\'ern's hard--core models. In both cases we start with a homogeneous Poisson process and use the points as centres of convex sets, grains, of the same shape. READ MORE
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5. Valid causal inference in high-dimensional and complex settings
Abstract : The objective of this thesis is to consider some challenges that arise when conducting causal inference based on observational data. High dimensionality can occur when it is necessary to adjust for many covariates, and flexible models must be used to meet convergence assumptions. The latter may require the use of a novel machine learning estimator. READ MORE