Department of Mathematics
Siste dokument

Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
(Springer, 2019)We prove that any Fourier–Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Giesekerstable sheaves. We apply this fact to show that the ...Journal article 
Bayesian and frequentist computation with application to data from the Medical Birth Registry of Norway
(The University of Bergen, 20190425)In chapter 1, the field of statistics is discussed in general terms. Then, Bayes’ theorem is presented together with the posterior distribution. Finally, we consider maximum likelihood estimation and its relation to ...Doctoral thesis 
Model Construction with Support Vector Machines and Gaussian Processes through Kernel Search
(The University of Bergen, 20190816)Master thesis 
Drivers of the summerdistribution of Northeast Atlantic mackerel (Scomber scombrus) in the Nordic Seas from 2011 to 2017; a Bayesian hierarchical modelling approach
(Oxford University Press, 201903)Identifying factors that are statistically correlated with the geographical distribution dynamics of a species can facilitate our understanding of causal physiological and ecological relationships. Northeast Atlantic (NEA) ...Journal article 
A Likelihood Ratio and Markov ChainBased Method to Evaluate Density Forecasting
(Wiley, 2019)In this paper, we propose a likelihood ratio based method to evaluate density forecasts which can jointly evaluate the unconditional forecasted distribution and dependence of the outcomes. Unlike the well‐known Berkowitz ...Journal article 
Upscaling, analysis, and iterative numerical solution schemes for thermoporoelasticity
(The University of Bergen, 20190628)The main objectives of this research project is to provide part of the mathematical models and simulation technology required to assess largescale deployment of thermomechanical subsurface energy storage in the context ...Doctoral thesis 
Upscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasistatic Poroelastic Medium
(Springer, 201808)We undertake a formal derivation of a linear porothermoelastic system within the framework of quasistatic deformation. This work is based upon the wellknown derivation of the quasistatic poroelastic equations (also ...Journal article 
CloseKin MarkRecapture Models
(The University of Bergen, 20190709)CloseKin MarkRecapture (CKMR) is a recent extension of the ordinary mark–recapture methods used to estimate animal abundance and other population parameters. Where ordinary mark–recapture only consider the subsequent ...Master thesis 
Effects of thermallydependent rock parameters on fracture reactivation
(The University of Bergen, 20190709)The slip tendency is an important tool to measure fracture reactivation in thecontext of subsurface engineering applications. In this thesis, the effects of thermallydependent rock parameters such as Young’s modulus on ...Master thesis 
Statistical approaches for constructing runoff maps  Random forest, linear models and spatial models tested for predictive performance of ungauged catchments in Norway
(The University of Bergen, 20190709)In this thesis we study statistical approaches to tackle predictions of ungauged catchments in Norway. In collaboration with Norwegian Water Resources and Energy Directorate (NVE) we use observations of runoff, catchment ...Master thesis 
Mathematical modeling of microbial enhanced oil recovery with focus on bioplug technology: from the pore to the core scale
(The University of Bergen, 20190614)This dissertation addresses the applications and challenges of both laboratory experiments and mathematical modeling at different scales, where the main character is biofilm. Thus, the first part of this work shows ...Doctoral thesis 
Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements
(Public Library of Science, 20180720)Onecompartment models are widely used to quantify hemodynamic parameters such as perfusion, blood volume and mean transit time. These parameters are routinely used for clinical diagnosis and monitoring of disease development ...Journal article 
Wellposedness of the fully coupled quasistatic thermoporoelastic equations with nonlinear convective transport
(Elsevier, 201903)This paper is concerned with the analysis of the quasistatic thermoporoelastic model. This model is nonlinear and includes thermal effects compared to the classical quasistatic poroelastic model (also known as Biot's ...Journal article 
Is chronic low back pain a risk factor for diabetes? The NordTrøndelag Health Study
(BMJ, 2018)Objective: The purpose of this study was to examine the risk of diabetes associated with the presence or absence of chronic low back pain, considering both crosssectional and cohort data. Research design and methods: ...Journal article 
Simplified energy landscape for modularity using total variation
(SIAM, 2018)Networks capture pairwise interactions between entities and are frequently used in applications such as social networks, food networks, and protein interaction networks, to name a few. Communities, cohesive groups of nodes, ...Journal article 
User's guide to Express: A tool for building knowledgebased systems for statistical data analysis
(Department of Mathematics, University of Bergen, 199607)Research report 
Segmentation of data traces with applications to dipmeter oil well measurements
(Department of Mathematics, University of Bergen, 198802)Research report 
Multivariate compound Poisson distributions and infinite divisibility
(Department of Mathematics, University of Bergen, 199903)Research report 
Recursions for Convolutions of discrete uniform Distributions revisited
(Department of Mathematics, University of Bergen, 199709)Research report 
On multivariate Vernic recursions
(Department of Mathematics, University of Bergen, 199907)Research report