Search for dissertations about: "Normal form theory"

Showing result 1 - 5 of 57 swedish dissertations containing the words Normal form theory.

  2. 1. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence

    Author : Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singull; Maciej A. Nowak; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral distribution; R-transform; Stieltjes transform; Free probability; Freeness; Asymptotic freeness;

    Abstract : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). READ MORE

  4. 2. Pointwise and Genomewide Significance Calculations in Gene Mapping through Nonparametric Linkage Analysis: Theory, Algorithms and Applications

    Author : Lars Ängquist; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; programming; actuarial mathematics; Statistik; cytogenetics; Genetik; cytogenetik; Mathematics; Matematik; Statistics; operations research; Genetics; ROC curves; conditioning loci; optimal score functions; noncentrality parameter; cost adjusted relative efficiency; exponential tilting; importance sampling; Monte Carlo simulation; normal approximation; crossover rate; process maximum; analytical approximation; significance calculations; NPL score; conditional linkage analysis; two-locus linkage analysis; Allele sharing; aktuariematematik; operationsanalys; programmering; gene-gene interaction; composite hypotheses; genetic disease models; classes of score functions; nonparametric linkage analysis;

    Abstract : In linkage analysis or, in a wider sense, gene mapping one searches for disease loci along a genome. This is done by observing so called marker genotypes (alleles) and phenotypes (affecteds/unaffecteds) of a pedigree set, i.e. READ MORE

  5. 3. Computer-aided Computation of Abelian integrals and Robust Normal Forms

    Author : Tomas Johnson; Warwick Tucker; Lars-Erik Persson; John H. Hubbard; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ordinary differential equations; parameter estimation; planar Hamiltonian systems; bifurcation theory; Abelian integrals; limit cycles; normal forms; hyperbolic fixed points; numerical integration; invariant manifolds; interval analysis. 2000 Mathematics Subject Classification. 34A60; 34C07; 34C20; 37D10; 37G15; 37M20; 37M99; 65G20; 65L09; 65L70.; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. READ MORE

  6. 4. Problems in the Classification Theory of Non-Associative Simple Algebras

    Author : Erik Darpö; Ernst Dieterich; Karl-Heinz Fieseler; William Crawley-Boevey; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Division algebra; flexible algebra; normal form; composition algebra; absolute valued algebra; vector product; rotation.; MATHEMATICS; MATEMATIK;

    Abstract : In spite of its 150 years history, the problem of classifying all finite-dimensional division algebras over a field k is still unsolved whenever k is not algebraically closed. The present thesis concerns some different aspects of this problem, and the related problems of classifying all composition and absolute valued algebras. READ MORE

  7. 5. Functional clustering methods and marital fertility modelling

    Author : Per Arnqvist; Sara Sjöstedt de Luna; Leif Nilsson; Helle Sørensen; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; censoring; Coale-Trussell model; EM-algorithm; functional data analysis; functional clustering; marital fertility; normal approximation; Poisson process; varved lake sediments; warping; Mathematical Statistics; matematisk statistik;

    Abstract : This thesis consists of two parts.The first part considers further development of a model used for marital fertility, the Coale-Trussell's fertility model, which is based on age-specific fertility rates. A new model is suggested using individual fertility data and a waiting time after pregnancies. READ MORE