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(Master thesis / Masteroppgave, 2016)
Parallellaksiomet er det eneste aksiomet der hyperbolsk geometri skiller seg fra euklidsk. Mens det i euklidsk geometri er en unik linje som går gjennom et gitt punkt og er parallell med en gitt linje, finnes det i hyperbolsk ...
(Master thesis / Masteroppgave, 2016)
The study of generic quartic symmetroids in projective 3-space dates back to Cayley, but little is known about the special specimens. This thesis sets out to survey the possibilities in the non-generic case. We prove that ...
(Master thesis / Masteroppgave, 2016)
In their article, "Continuity of the Spectrum of a Field of Self-Adjoint Operators", Beckus and Bellissard discuss the following problem: Given a family of bounded, self-adjoint linear operators indexed by a parameter t ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2022)
We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show ...
(Journal article / Tidsskriftartikkel / PublishedVersionSubmittedVersion; Peer reviewed, 2022)
We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa–Holm type) perturbed by a convective, position-dependent noise term. We establish the ...
(Master thesis / Masteroppgave, 2017)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2022)
Cellular quiescence is a state of reversible cell cycle arrest that is associated with tissue dormancy. Timely regulated entry into and exit from quiescence is important for processes such as tissue homeostasis, tissue ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2022)
This study aims to estimate six different sexual debut ages in heterosexual Norwegians in six birth cohorts of the general population in Norway. The results are based on a 2020 national web panel survey of 18–89-year-olds ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2022)
In a railway network, a deadlock occurs when two or more trains are preventing each other from moving forward by each occupying the tracks required by the other. Deadlocks are rare but pernicious events in railroad operations, ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2022)
We establish the existence of solutions for a class of stochastic reaction-diffusion systems with cross-diffusion terms modeling interspecific competition between two populations. More precisely, we prove the existence of ...