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(Doctoral thesis / Doktoravhandling, 2024)
When a new product is launched on a customer base, its adoption process begins. From here on out, two main drivers will inform how new adoptions are made. New adoptions might spur out peer-to-peer interactions between ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Since the beginning of Bayesian nonparametrics in the early 1970s, there has been a wide interest in constructing models for binary response data. Such data arise naturally in problems dealing with bioassay, current status ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Objective The objective of our study was to examine whether occupational exposure to benzene is associated with lung cancer among males in the Norwegian Offshore Petroleum Workers cohort. Methods Among 25 347 male offshore ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
This article develops new techniques to classify critical configurations for 3D scene reconstruction from images taken by unknown cameras. Generally, all information can be uniquely recovered if enough images and image ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
Rogue waves, also known as freak waves, have received much attention in the scientific community as well as in media and the marine industry in the past two decades. Forecasts of extreme weather events have always been ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via the linearized deformation operator, the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
The present paper investigates Cox-Ingersoll-Ross (CIR) processes of dimension less than 1, with a focus on obtaining an equation of a new type including local times for the square root of the CIR process. To derive this ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
The paper presents an analytical proof demonstrating that the Sandwiched Volterra Volatility (SVV) model is able to reproduce the power-law behavior of the at-the-money implied volatility skew, provided the correct choice ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) are the most efficient proof systems in terms of proof size and verification. Currently, Groth’s scheme from EUROCRYPT 2016, Groth16, is the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
The research of biomarker-treatment interactions is commonly investigated in randomized clinical trials (RCT) for improving medicine precision. The hierarchical interaction constraint states that ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Seasonal variations in environmental exposures at birth or during gestation are associated with numerous adult traits and health outcomes later in life. Whether DNA methylation (DNAm) plays a ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Whether you are reading, running or sleeping, your brain and its fluid environment continuously interacts to distribute nutrients and clear metabolic waste. Yet, the precise mechanisms for solute transport within the human ...
(Doctoral thesis / Doktoravhandling, 2023)
Mathematical objects often possess some sort of 'symmetry'. For instance, the circle has rotational symmetry; It 'looks the same' even if we rotate it around its center by some angle. Formally this type of symmetry is an ...
(Master thesis / Masteroppgave, 2023)
Intersecting near-optimal spaces: European power systems with more resilience to weather variability
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We suggest a new methodology for designing robust energy systems. For this, we investigate so-called near-optimal solutions to energy system optimisation models; solutions whose objective values deviate only marginally ...
(Doctoral thesis / Doktoravhandling, 2023)
Solving equations has always been one of the core areas of mathematics. One important class of equations are so-called polynomial equations. These appear naturally in a broad collection of fields, such as number theory, ...
(Doctoral thesis / Doktoravhandling, 2023)
Mathematical modelling of brain parenchyma mechanics and fluid dynamics is a powerful tool to better understand clearance mechanisms, and investigate mechanistic hypotheses that cannot be verified with in vivo experiments. ...
(Master thesis / Masteroppgave, 2023)
Hull-White interest rate models driven by fractional Brownian motion with Hurst parameter H not equal to 1/2 is applied to life insurance policies. The theory of life insurance policies under stochastic interest rates is ...
(Master thesis / Masteroppgave, 2023)
Discovering statistical interaction effects is important to understand the binding mechanism in CDR3 and predict whether a sequence will bind to a given antigen, which will help develop medicines and vaccines. CDR3 is made ...
(Master thesis / Masteroppgave, 2023)
The Resource Constrained Project Scheduling Problem (RCPSP) is an NP-hard job scheduling problem. This thesis finds and compares mixed integer linear programming formulations for an extension to the standard RCPSP with the ...
(Master thesis / Masteroppgave, 2023)
Generative models have gained significant interest in recent years due to their ability to generate high-quality samples from an underlying distribution for images, text and audio. The underlying distributions is often ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2023)
Battery systems are increasingly being used for powering ocean going ships, and the number of fully electric or hybrid ships relying on battery power for propulsion and maneuvering is growing. In order to ensure the safety ...
Turbulent Flow Past An Edged Geometry Restricted Access
(Master thesis / Masteroppgave, 2023)
Vortexes are a major part of turbulence studies, and have dominating effect on aerodynamics. Vortex generators have been used for a long time on air-crafts, to delay flow separation and increase performance. In this study, ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract The Maxwell–Klein–Gordon equations are a set of coupled nonlinear time‐dependent wave equations, used to model the interaction of an electromagnetic field with a particle. The solutions, expressed with a magnetic ...
(Master thesis / Masteroppgave, 2023)
Breast cancer is the most common type of cancer in women worldwide. Screening programs have been established in many countries to prevent deaths from breast cancer by detecting the disease at an early stage and arranging ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Assisted reproductive technologies (ART) may perturb DNA methylation (DNAm) in early embryonic development. Although a handful of epigenome-wide association studies of ART have been published, ...
(Doctoral thesis / Doktoravhandling, 2023)
Internal waves are a phenomenon that occurs in stratified oceans. These waves play a vital role in the oceanic ecosystem, e.g., influencing the distribution of nutrients. I have conducted high-resolution simulations of ...
(Doctoral thesis / Doktoravhandling, 2023)
Most forms of dementia, including Alzheimer’s, are incurable and their causes are not properly understood. In recent years, it has been suggested that the cerebrospinal fluid, a water-like fluid that surrounds the brain, ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
In this thesis, we define an infinite-dimensional stochastic integral $\int XdM$ where $M$ is a hyperfinite martingale. In order to make sense of this integral we have developed some new concepts in nonstandard functional ...
(Master thesis / Masteroppgave, 2023)
Differensiallikninger er ofte vanskelige, eller umulige å løse analytisk, derfor er gode numeriske skjemaer er i mange situasjoner en nødvendighet. Et godt numerisk skjema er strukturbevarende, og konvergerer raskt mot den ...
(Master thesis / Masteroppgave, 2023)
A positive integer n is called congruent if it appears as the area of a right-angle triangle with rational sides. There are known to be infinite congruent numbers, the smallest being 5. However, given n, it is not ...
(Master thesis / Masteroppgave, 2023)
We define a family of coherent sheaves indexed by the natural numbers on the Hilbert scheme of points on a surface S, and study some of their properties. The first two sheaves are bundles whose degeneracy loci parametrize ...
(Master thesis / Masteroppgave, 2023)
This thesis focuses on the study of financial markets with delay and in a broader sense, the study of stochastic differential equations with delay. We describe a continuous model, argue the existence, uniqueness and ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
There is a bounded Hankel operator on the Paley–Wiener space of a disc in R2 which does not arise from a bounded symbol.
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Innovative ways of harnessing sustainable energy are needed to meet the world’s ever-increasing energy demands. Supercapacitors may contribute, as they can convert waste heat to electricity through cyclic charging and ...
Classification of Low Dimensional Algebras Restricted Access
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
The main topic of this thesis is SDEs driven by VMLV and VMBV processes. Further study is done on their respective subclasses of processes, abbreviated as LSS and BSS processes. Secondarily, SPDEs driven by ambit fields ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In various research areas such as engineering, physics, and mathematics, numerical simulations play an important role. A number of research software simulation frameworks have been established, for instance, Dune (Bastian ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Matrix majorization is a generalization of the classical majorization for vectors. We study several basic questions concerning matrix majorization for (0;±1)-matrices, i.e., matrices whose entries are restricted to 0, 1 ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We solve the problem of simultaneously embedding properly holomorphically into C2 a whole family of n-connected domains Omega_r in P1 such that none of the components of P1 \ Omega_r reduces to a point, by constructing a ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Adinkras are signed graphs used to study supersymmetry in physics. We provide an introduction to these objects, and study the properties of their signed adjacency and signed Laplacian matrices. These matrices each have ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We use methods from nonstandard analysis to unify and extend results from the theory of asymptotic fixed points on metric spaces. Among the topics we consider are Kirk’s asymptotic fixed point theorem with extensions, ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
This article may be seen as a summary and a final discussion of the work that the author has done in recent years on the foundation of quantum theory. It is shown that quantum mechanics as a model follows under certain ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Astrocyte endfoot processes are believed to cover all micro-vessels in the brain cortex and may play a significant role in fluid and substance transport into and out of the brain parenchyma. ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Permutation graphs are graphs associated with permutations where edges represent inversions. We study different classes of permutation graphs and isomorphic permutation graphs. A complete answer of a basic isomorphism ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We study C*-irreducibility of inclusions of reduced twisted group C*-algebras and of reduced group C*-algebras. We characterize C*-irreducibility in the case of an inclusion arising from a normal subgroup, and exhibit many ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We study a stochastic differential equation with an unbounded drift and general Hölder continuous noise of order . The corresponding equation turns out to have a unique solution that, depending on a particular shape of the ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
Cancer is an incredibly complex and diverse disease. Therefore, medical treatment preferentially should be tailored at the level of individual patients. There exists a vast amount of knowledge related to cancer biology, ...
(Master thesis / Masteroppgave, 2023)
Lattice-based cryptography derived from cylotomic rings, base their security on two hard mathematical problems, finding the shortest and the closest vector in a lattice. Even though there are many factors to consider when ...
(Master thesis / Masteroppgave, 2023)
This thesis discusses self-similar fractals, more specifically different symmetries on self-similar fractals. We build the fractal space as a collection of compact subsets of a complete metric space. Further, we add IFS ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
The exploration of regression analysis based on text is understudied compared to other tasks, and there are limited literature on this topic, with very few studies delving into this specific task. This thesis aims to ...
(Master thesis / Masteroppgave, 2023)
(Chapter / Bokkapittel / SubmittedVersion, 2023)
In the first part of this paper I give the historical background to my initial interest in stochastic analysis and to the writing of my book Stochastic Differential Equations. The first edition of this book was published ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We present a new stress/total-pressure formulation for poroelasticity that incorporates the coupling with steady nonlinear diffusion modified by stress. This nonlinear problem is written in mixed-primal form, which combines ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We analyze the question of which motivic homotopy types admit smooth schemes as representatives. We show that given a pointed smooth affine scheme X and an embedding into affine space, the affine deformation space of the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We propose in this paper New Q-Newton’s method. The update rule is conceptually very simple, using the projections to the vector subspaces generated by eigenvectors of positive (correspondingly negative) eigenvalues of the ...
(Master thesis / Masteroppgave, 2023)
We change the approach for computing posterior distributions in Bayesian Generalized Nonlinear Models. We replace MCMC with variational Bayes, and approximate the posterior distribution with mean-field, or through utilization ...
(Master thesis / Masteroppgave, 2023)
Grassmannians are varieties parameterizing the k-dimensional subspaces of an n-dimensional vector space. To a point in a Grassmannian we associate two objects: A representable matroid storing combinatorial data about linear ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We study the interaction-induced migration of bubbles in shear flow and observe that bubbles suspended in elastoviscoplastic emulsions organize into chains aligned in the flow direction, similarly to particles in viscoelastic ...
Harmoniske og anharmoniske egenskaper ved kjeglesnitt Restricted Access
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
Road construction sites are often inefficient, with construction machines frequently idling for extended periods, wasting fuel and time. One way to increase efficiency is to optimize the scheduling of the dumpers transporting ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
(Master thesis / Masteroppgave, 2023)
Current treatment regimens have been effective in suppressing the progression of HIV. They prevent transmission and support people living with HIV to lead healthy lives. However, there are numerous clinical, social, and ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
This thesis is concerned with the theory of homological projective duality of A. Kuznetsov. The varieties of interest are projective bundles. By considering the resolution $X =\mathrm{Hilb}^2\mathbb{P}^2$ of the variety ...
(Doctoral thesis / Doktoravhandling, 2023)
Artificial intelligence and machine learning are increasingly used in many industries and applications, where more and more important decisions are being made based on machine learning models. However, recent research has ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Inspired by geological structures formed by magmatic intrusions that deform the Earth's crust, we investigate the elastohydrodynamic growth of a viscoplastic blister under an elastic sheet resting on a prewetted substrate. ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
An increasing amount of Linked Open Data is now available on the Web, resulting in the expansion of knowledge graphs as more triples are added to them. To prevent information overload and improve task efficiency, multiple ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We establish motivic versions of the theorems of Lin and Gunawardena, thereby confirming the motivic Segal conjecture for the algebraic group of th roots of unity, where is any prime. To achieve this we develop ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
In high-dimensional data (HDD) settings, the number of variables associated with each observation is very large. Prominent examples of HDD in biomedical research include omics data with a large ...
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We show that we can interpret concatenation theories in arithmetical theories without coding sequences by identifying binary strings with 2 × 2 matrices with determinant 1.
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract There are three contributions to the literature in this note. Firstly, we point out that under some weak conditions the result in Swensen (1986) on the remaining loads in a GI/M/ c queue with impatient customers, ...
(Master thesis / Masteroppgave, 2023)
(Doctoral thesis / Doktoravhandling, 2023)
This thesis is motivated by the following questions:
- Does there exist a weakest theory for which Gödel’s first incompleteness theorem holds?
- Does there exist a weakest structure for which solvability of systems of ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Variability in sea ice conditions, combined with strong couplings to the atmosphere and the ocean, lead to a broad range of complex sea ice dynamics. More in-situ measurements are needed to better identify the phenomena ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We prove constructively the existence of surjective morphisms from affine space onto certain open subvarieties of affine space of the same dimension. For any algebraic set [Formula: see text], we construct an endomorphism ...
(Doctoral thesis / Doktoravhandling, 2023)
The societal importance of weather drives a continuous effort to improve short- and long-term numerical weather prediction. A better knowledge of the conditions in the stratosphere, the atmospheric region from 10 to 50 ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
The purpose of this paper is to present and discuss pedagogical frameworks and approaches to developing, delivering, and evaluating a new interdisciplinary course within the domain of energy informatics at both Master’s ...
Adjustment Coefficients and Exact Rational Expectations in Cointegrated Vector Autoregressive Models
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In this article, we consider the cointegrated vector autoregressive model with adjustment parameters 𝛼 and cointegration vectors 𝛽.We discuss estimation of the model under the exact linear rational expectations, when we ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Inspired by Bhatt–Morrow–Scholze’s work on THH, we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log THH and its variants. Moreover, of independent ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We introduce Locally Interpretable Tree Boosting (LitBoost), a tree boosting model tailored to applications where the data comes from several heterogeneous yet known groups with a limited number of observations per group. ...