Department of Mathematics: Nye registreringer
Viser treff 1-20 av 968
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Stanley-Reisner ideals associated with triangulations
(Master thesis, 2024-06-03) -
The influence of an internship in South Africa on Norwegian preservice mathematics teachers' development of a professional identity
(Chapter, 2023)This paper reflects on how the future development of teacher identity by four Norwegian preservice secondary mathematics teachers may be influenced by a nine-week internship in South Africa. It was clear from interviews ... -
Unconditional uniqueness for the Benjamin-Ono equation
(Journal article, 2023)We study the unconditional uniqueness of solutions to the Benjamin–Ono equation with initial data in Hs, both on the real line and on the torus. We use the gauge transformation of Tao and two iterations of normal form ... -
Didaktiske escape room i matematiske læringsaktiviteter
(Master thesis, 2024-06-03)Samfunnet endrer seg raskt og samfunnet vil stille store krav til fremtidens borgere. Blant annet kommunikasjon og samarbeid vil i fremtiden stå som ferdigheter som i stadig større grad vil bli utfordret. Undervisningen ... -
Black-Litterman portfolio allocation using Local Gaussian Correlation
(Master thesis, 2024-04-27) -
Rolling Stiefel Manifolds Equipped with α-Metrics
(Journal article; Peer reviewed, 2023)We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped with 𝛼-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more general perspective, namely, ... -
Shift modules, strongly stable ideals, and their dualities
(Journal article; Peer reviewed, 2023)We enrich the setting of strongly stable ideals (SSI): We introduce shift modules, a module category encompassing SSIs. The recently introduced duality on SSIs is given an effective conceptual and computational setting. ... -
A Bayesian Lasso based sparse learning model
(Journal article; Peer reviewed, 2023)The Bayesian Lasso is constructed in the linear regression framework and applies the Gibbs sampling to estimate the regression parameters. This paper develops a new sparse learning model, named the Bayesian Lasso Sparse ... -
Exploring Spline Based Models in glmmTMB
(Master thesis, 2024-06-03)In recent times the R-package glmmTMB has been extended to facilitate spline regression. In this thesis we implement spline based smoothers in glmmTMB-models and compare them to generalized additive models from mgcv and ... -
Exceptional families of measures on Carnot groups
(Journal article; Peer reviewed, 2023)We study the families of measures on Carnot groups that have vanishing p -module, which we call Mp -exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing ... -
Symmetric Spaces Rolling on Flat Spaces
(Journal article; Peer reviewed, 2023)The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language accessible to a wider audience, in ... -
A robust solution strategy for the Cahn-Larché equations
(Journal article; Peer reviewed, 2023)In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a Ginzburg-Landau type energy functional. ... -
Portfolio Selection with a Rank-Deficient Covariance Matrix
(Journal article; Peer reviewed, 2024)In this paper, we consider optimal portfolio selection when the covariance matrix of the asset returns is rank-deficient. For this case, the original Markowitz’ problem does not have a unique solution. The possible solutions ... -
On the formulation of energy conservation in the eeKdV equation
(Journal article; Peer reviewed, 2024)The Korteweg-de Vries (KdV) equation is a well-known model equation for unidirectional shallow-water (long) surface waves. The equation includes dispersion and weak non-linearity. The derivation of the equation originates ... -
Well-Posedness for the Extended Schrödinger–Benjamin–Ono System
(Journal article; Peer reviewed, 2024) -
A finite mixture analysis of structural breaks in the G-7 gross domestic product series
(Journal article; Peer reviewed, 2023)In this paper we apply a clustering procedure to detect trend changes in macroeconomic data, focusing on the GDP time series for the G-7 countries. A finite mixture of regression models is considered to show different ... -
The Rectangle Complex of a Relation
(Journal article; Peer reviewed, 2023)We construct a simplicial complex, the rectangle complex of a relation R, and show that it is homotopy equivalent to the Dowker complex of . This results in a short and conceptual proof of functorial versions of Dowker’s ... -
Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation
(Journal article; Peer reviewed, 2023)We study one particular asymptotic behaviour of a solution of the fractional modified Korteweg-de Vries equation (also known as the dispersion generalised modified Benjamin-Ono equation): ∂tu + ∂x(−|D|αu + u3) = 0. The ... -
Determining homology of an unknown space from a sample
(Journal article; Peer reviewed, 2023)The homology of an unknown subspace of Euclidean space can be determined from the intrinsic Čech complex of a sample of points in the subspace, without reference to the ambient Euclidean space. More precisely, given a ... -
Sudden wave flooding on steep rock shores: a clear but hidden danger
(Journal article; Peer reviewed, 2024)It is shown that very steep coastal profiles can give rise to unexpectedly large wave events at the coast. We conduct a statistical analysis of runs from a nearshore Boussinesq-type model to demonstrate that under certain ...