Browsing Matematisk institutt by Title
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(Research report, 1978)

(Research report / Forskningsrapport, 1974)

(Research report / Forskningsrapport, 2000)

(Research report / Forskningsrapport, 2001)In this article we classify all the smooth 3folds of P5 with an apparent 4tuple point provided that the family of its 4secant lines is an irreducible (first order) congruence. This is sufficient to conclude the ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2012)We extend Donaldson’s diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of nonsmoothable topological 4–manifolds.

(Master thesis / Masteroppgave, 2015)Punktene på en elliptisk kurve danner en gruppe. Hvis vi kaller origo i gruppa for Q, er et ntorsjonspunkt et punkt P som er slik at nP=Q. Mengden ntorsjonspunkter danner en abelsk gruppe. Alle 3torsjonspunktene på en ...

(Master thesis / Masteroppgave, 2014)The Icelandic population is scarce compared to the Norwegian, causing high variability in the observed mortalities. We apply two mortality models to data on the Norwegian population dating 60 years back, and the Icelandic ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)Epigenetic observations are represented by the total number of reads from a given pool of cells and the number of methylated reads, making it reasonable to model this data by a binomial distribution. There are numerous ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2014)This friendly introduction to tropical geometry is meant to be accessible to first year students in mathematics. The topics discussed here are basic tropical algebra, tropical plane curves, some tropical intersections, and ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)We consider spline functions over simplicial meshes in Rn. We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are infinitely smooth. Such splines can have extra ...

(Research report / Forskningsrapport, 2014)

A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)We derive and study a Lax–Friedrichstype finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly to the measurevalued solution and converges ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)A sharp version of a recent inequality of Kovalev and Yang on the ratio of the (H1)∗ and H4 norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for ...

(Journal article / Tidsskriftartikkel / SubmittedVersion, 2017)The Grassmannian Gr(2,5) is embedded in ℙ9 via the Pl\"ucker embedding. The intersection of two general PGL(10)translates of Gr(2,5) is a CalabiYau 3fold X, and the intersection of the projective duals of the two ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)Advanced Fault Detection (FD) and isolation schemes are necessary to realize the required levels of reliability and availability and to minimize financial losses against failures. In particular, FD is essential in modern ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)We analyze a model equation arising in option pricing. This model equation takes the form of a nonlinear, nonlocal diffusion equation. We prove the well posedness of the Cauchy problem for this equation. Furthermore, we ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)Abstract. We introduce an improved formulation of the doublemultiple streamtube (DMST) model for the prediction of the flow quantities of vertical axis wind turbines (VAWT). The improvement of the new formulation lies in ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)This paper studies a duopoly investment model with uncertainty. There are two alternative irreversible investments. The first firm to invest gets a monopoly benefit for a specified period of time. The second firm to invest ...

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)We prove two results on the tube algebras of rigid C*tensor categories. The first is that the tube algebra of the representation category of a compact quantum group G is a full corner of the Drinfeld double of G. As an ...

(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)This work introduces a general concept of center for graphs, built on the model of the characteristic set ([12], [14]) of trees. We define it as the set of cycles in a specific directed graph associated with the original ...