Browsing Matematisk institutt by Title
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(Research report / Forskningsrapport, 2005)We introduce the notion of a Galois extension of commutative Salgebras (E∞ ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving EilenbergMac Lane ...

(Master thesis / Masteroppgave, 2015)In 1862, substituting for professor O. J. Broch, Ludvig Sylow gives the first lectures ever given on the field of Galois theory in Norway, at the University of Christiania. He lectures on, amongst other things, what he ...

(Research report / Forskningsrapport, 2006)We consider a stochastic differential game in a financial jump diffusion market, where the agent chooses a portfolio which maximizes the utility of her terminal wealth, while the market chooses a scenario (represented by ...

(Research report / Forskningsrapport, 2009)We propose a method to compute approximate eigenpairs of the Schrödinger operator on a bounded domain in the presence of an electromagnetic field. The method is formulated for the simplicial grids that satisfy the discrete ...

(Research report / Forskningsrapport, 2010)In this paper, we develop a variational approach to study perturbation problems of ordinary differential equations (ODE's) with discontinuous coefficients. We propose a mathematical framework which can be used to construct ...

(Research report / Forskningsrapport, 1975)

General fractional multiparameter white noise theory and stochastic partial differential equations. (Research report / Forskningsrapport, 2002)

(Research report / Forskningsrapport, 1995)

A general maximum principle for anticipative stochastic control and applications to insider trading (Research report / Forskningsrapport, 2009)In this paper we suggest a general stochastic maximum principle for optimal control of anticipating stochastic differential equations driven by a Lévy type of noise. We use techniques of Malliavin calculus and forward ...

A GENERAL PRINCIPLE FOR A MULTIPLE COMPARISON PROCEDURE FOR LINEAR CONTRASTS, AND SOME APPLICATIONS (Research report / Forskningsrapport, 1975)

(Research report / Forskningsrapport, 2002)

(Master thesis / Masteroppgave, 2016)A detailed study of computable iterations of Gödelsentences, both in normal recursion and generalisations to other recursive theories.

(Research report / Forskningsrapport, 1963)

(Research report / Forskningsrapport, 1995)

(Research report / Forskningsrapport, 1998)

(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)A well known property of a harmonic function in a ball is that its value at the centre equals the mean of its values on the boundary. Less well known is the more general property that its value at any point x equals the ...

(Research report / Forskningsrapport, 1998)

(Master thesis / Masteroppgave, 2015)In elliptic curve cryptography, the choice of the elliptic curve is important for security. This is because there exist elliptic curves where certain shortcuts can be made that breaks the security of elliptic curve ...

(Research report / Forskningsrapport, 1992)