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The Dynamical Behaviour of some Automorphisms of C^2 that fixes the axes
(Master thesis, 2016)We use existing theory of Hakim and Weickert in order to identify a complex line which is such that close to the origin the stable set of the origin will be situated close to this line. Then we study the dynamical behaviour ... -
The effect of emergency department delays on 30-days mortality in Central Norway
(Journal article; Peer reviewed, 2019)Objective: To assess whether prolonged length of stay in the emergency department was associated with risk of death. Methods: We analysed data from 165,183 arrivals at St. Olav’s University Hospital’s emergency ... -
The Effects of Crude Oil on Stock Markets with use of Markov Switching Models
(Master thesis, 2016)In this thesis, a two regime Markov switching (MS) model is implemented to examine the relationship between crude oil, both brent oil and WTI, and stock markets. In particular, the model is applied to stock markets in both ... -
The Empirical Interpolation Method
(Master thesis, 2013)In this thesis we look at the Empirical Interpolation Method (EIM) and how it can be used in different applications. We propose a new formulation of EIM to make it easier to perform analytical operations like differentiation ... -
The Error-State Kalman Filter for Singularity-Free State Estimation in Inertial Navigation Systems
(Bachelor thesis, 2020)Fremskritt innen moderne robotikk har de siste årene gitt opphav til mange bruksområder innen estimering for autonome systemer. Denne avhandlingen gir et statistisk rammeverk for estimering av posisjon, hastighet og ... -
The Error-State Kalman Filter for Singularity-Free State Estimation in Inertial Navigation Systems
(Bachelor thesis, 2020)Fremskritt innen moderne robotikk har de siste årene gitt opphav til mange bruksområder innen estimering for autonome systemer. Denne avhandlingen gir et statistisk rammeverk for estimering av posisjon, hastighet og ... -
The Expectation Propagation Algorithm for use in Approximate Bayesian Analysis of Latent Gaussian Models
(Master thesis, 2010)Analyzing latent Gaussian models by using approximate Bayesian inference methods has proven to be a fast and accurate alternative to running time consuming Markov chain Monte Carlo simulations. A crucial part of these ... -
The Extended Golay Codes as Ideals
(Master thesis, 2016)We define a multiplication on the ambient spaces of the extended binary and ternary Golay codes that results in these codes becoming left ideals in their ambient spaces. We use fixed-point-free permutation groups to define ... -
The Fractal Burgers Equation - Theory and Numerics
(Master thesis, 2012)We study the Cauchy problem for the 1-D fractal Burgers equation, which is a non-linear and non-local scalar conservation law used to for instance model overdriven detonation in gases. Properties of classical solutions of ... -
The Fundamental Group of SO(3)
(Master thesis, 2014)We study fundamental groups of topological spaces. In particular we will compute the fundamental group of SO(3), the group of rotations in three dimensions, by studying covering spaces. We will see that the fundamental ... -
The general peakon-antipeakon solution for the Camassa-Holm equation
(Journal article; Peer reviewed, 2016)We compute explicitly the peakon-antipeakon solution of the Camassa– Holm equation ut − utxx + 3uux − 2uxuxx − uuxxx = 0 in the non-symmetric and α-dissipative case. The solution experiences wave breaking in finite time, ... -
The Generalized Empirical Interpolation Method
(Master thesis, 2014)The empirical interpolation method is an interpolation scheme with problem dependent basis functions and interpolation nodes, originally developed for parameter dependent functions. It was developed in connection with the ... -
The Handling of Noise and Security of Two Fully Homomorphic Encryption Schemes
(Master thesis, 2017)Noise is introduced as a means to ensure security of encryption schemes in general, and fully homomorphic encryption schemes in particular. Strategies to control the growth of this and thereby guarantee correct decryption ... -
The Heterogeneous Multiscale Method and the Spinning Top
(Master thesis, 2011)The heterogeneous multiscale method (HMM) was proposed by E and Engquist and is considered to be an efficient method for problems with multiple time scales. We give a short introduction to the HMM for multiscale problems ... -
The homology of the Higman–Thompson groups
(Journal article; Peer reviewed, 2019)We prove that Thompson’s group \mathrm {V} is acyclic, answering a 1992 question of Brown in the positive. More generally, we identify the homology of the Higman–Thompson groups \mathrm {V}_{n,r} with the homology of the ... -
The homology of the Katsura-Exel-Pardo groupoid
(Journal article; Peer reviewed, 2020)We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the K-theory of the C ∗ -algebras in the sense of the (HK) conjecture posted by Matui. Moreover, we show that several ... -
The impact of varying time scales on the quality of cancer projections based on the Bayesian age-period-cohort model
(Master thesis, 2015)Projection of age-specific cancer incidence and mortality data play an integral role in planning and research. A wide range of methods used for these projections has been developed and put into practice. Many statistical ... -
The Importance of Mesh Resolution When Using the SPDE Approach
(Master thesis, 2020)Målet med denne oppgaven er å undersøke viktigheten av oppløsningen til triangelnettet (eng: ``Mesh'') for SPDE-tilnærmingen til Lindgren et al. (2011). I denne tilnærmingen approksimeres et romlig Gaussisk felt (GRF) på ... -
The Infinity Laplace Equation
(Master thesis, 2013)In this thesis, we prove that the Infinity-Laplace equation has a unique solution in the viscosity sense. We prove existence by approximating the equation by the p-Laplace equation, and uniqueness will be shown by use of ... -
The influence of socioeconomic deprivation, access to healthcare and physical environment on old-age survival in Portugal
(Journal article; Peer reviewed, 2017)Spatial inequalities in old-age survival exist in Portugal and might be associated with factors pertaining to three distinct domains: socioeconomic, physical environmental and healthcare. We evaluated the contribution of ...