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(Research report / Forskningsrapport, 1980)
(Doctoral thesis / Doktoravhandling, 2022)
Financial markets have extremely complex behavior that cannot be fully modeled using classical approaches. In particular, numerous empirical studies show that market volatility exhibits some form of long-range dependence ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)
We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term. More precisely, we show that two unique weak ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Using social media data for statistical analysis of general population faces commonly two basic obstacles: firstly, social media data are collected for different objects than the population units of interest; secondly, the ...
(Doctoral thesis / Doktoravhandling, 2022)
Real algebraic geometry is the study of geometric objects defined by polynomial equations with real coefficients. This domain has connections with many areas of mathematics, such as analytic geometry, algebraic topology ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Deep learning, due to its unprecedented success in tasks such as image classification, has emerged as a new tool in image reconstruction with potential to change the field. In this paper we demonstrate a crucial phenomenon: ...
(Research report / Forskningsrapport, 1980)
(Master thesis / Masteroppgave, 2021)
(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 / AcceptedVersion; Peer reviewed, 2020)
A novel numerical method has been developed that incorporates electrically conducting objects into particle-in-cell simulations of electrostatic plasma. The method allows multiple objects connected by voltage and current ...