Institutt for matematiske fag
Recent Submissions
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Coefficient Estimates for Hp Spaces with 0 < p < 1
(Master thesis, 2025)Denne masteroppgaven undersøker koeffisientestimater for analytiske funksjoner i Hardy-rommene Hp på enhetsskiven D, der 0<p<1. Spesifikt studerer vi C(k,p), der C(k,p) forstås som normen til den begrensede lineære ... -
STATE-OF-THE-ART VIDEO CONFERENCING TECHNOLOGIES AND PRACTICES. A REVIEW OF THE LITERATURE IN A NORWEGIAN CONTEXT
(Peer reviewed; Journal article, 2024) -
The Norm of the Backward Shift Operator on H^p
(Master thesis, 2025)I denne masteravhandlingen utforsker vi normen til "backward shift"-operatoren på Hardy-rom. Hovedresultatet er numeriske beregninger av operatornormen. Resultatet fra Brevig og Seip [1] ble brukt som for å verifisere ... -
CONVERGENCE OF ROUGH FOLLOW-THE-LEADER APPROXIMATIONS AND EXISTENCE OF WEAK SOLUTIONS FOR THE ONE-DIMENSIONAL HUGHES MODEL
(Peer reviewed; Journal article, 2024) -
Statistical Approaches for Neural Tuning and Ensemble Codes
(Doctoral theses at NTNU;2025:107, Doctoral thesis, 2025) -
τ-quantization and τ-Cohen classes distributions of Feichtinger operators
(Journal article; Peer reviewed, 2024)We investigate the -quantizations and Cohen’s class distributions of a suitable class of trace-class operators, called Feichtinger’s operators, and show that it is a convenient substitute for the class of Schwartz ... -
Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle
(Journal article; Peer reviewed, 2024)We give necessary and sufficient conditions for a composition operator with Dirichlet series symbol to belong to the Schatten classes Sp of the Hardy space H2 of Dirichlet series. For p≥2, these conditions lead to a ... -
Misclassification bounds for PAC-Bayesian sparse deep learning
(Peer reviewed; Journal article, 2025) -
The geometry of controlled rough paths
(Peer reviewed; Journal article, 2025)We prove that the spaces of controlled (branched) rough paths of arbitrary order form a continuous field of Banach spaces. This structure has many similarities to an (infinite-dimensional) vector bundle and allows to define ... -
A decoupling method for analyzing foldover designs
(Journal article; Peer reviewed, 2024)Foldover designs often have attractive properties. Among these is that the effects can be divided into two orthogonal subspaces, one for odd effects and one for even effects. In this paper, we introduce a new method for ... -
Language aspects related to the angle concept in different countries
(Chapter, 2024) -
Predictive digital twin for wind energy systems: a literature review
(Peer reviewed; Journal article, 2024)In recent years, there has been growing interest in digital twin technology in both industry and academia. This versatile technology has found applications across various industries. Wind energy systems are particularly ... -
First-year engineering students' attitudes and learning goals in calculus: A ten-year follow-up study
(Journal article; Peer reviewed, 2024)This study sets out to examine engineering students’ attitudes and learning goals in a first-year mandatory calculus course. We explored how, and the extent to which, course specific goals and attitudes changed over the ... -
A numerical view on α-dissipative solutions of the Hunter-Saxton equation
(Journal article; Peer reviewed, 2025)We propose a new numerical method for α-dissipative solutions of the Hunter–Saxton equation, where α belongs to W1,∞(R, [0, 1)). The method combines a projection operator with a generalized method of characteristics and ... -
Bayesian marker-based principal component ridge regression – a flexible multipurpose framework for quantitative genetics in wild study systems
(Journal article, 2024)As larger genomic data sets become available for wild study populations, the need for flexible and efficient methods to estimate and predict quantitative genetic parameters, such as the adaptive potential and measures for ... -
Local structure and effective dimensionality of time series data sets
(Journal article; Peer reviewed, 2024)The goal of this paper is to develop novel tools for understanding the local structure of systems of functions, e.g. time-series data points. The proposed tools include a total correlation function, the Cohen class of the ... -
Concentration properties of fractional posterior in 1-bit matrix completion
(Journal article; Peer reviewed, 2025)The problem of estimating a matrix based on a set of observed entries is commonly referred to as the matrix completion problem. In this work, we specifically address the scenario of binary observations, often termed as ... -
Modelling heterogeneity in the classification process in multi-species distribution models can improve predictive performance
(Journal article; Peer reviewed, 2024)Species distribution models and maps from large-scale biodiversity data are necessary for conservation management. One current issue is that biodiversity data are prone to taxonomic misclassifications. Methods to account ... -
Modeling protection systems in smart active distribution grids for a performance analysis
(Journal article, 2024)Distributed renewable energy sources increase the fault level of the distribution grid. This will impact the protection system, possibly causing misoperation, such as blinding, which increases the fault clearing time. High ... -
Modelling mathematics for educational research and practice: a comparison of two theoretical approaches
(Peer reviewed; Journal article, 2024)
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