Department of Mathematics and Physics (TN-IMF): Recent submissions
Now showing items 221-240 of 310
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Introduction to graph theory: Classroom potential of core concepts
(Bachelor thesis, 2021)This thesis is an introduction to graph theory with its core concepts and formulas, including a look at the mostly untapped classroom potential of this field of mathematics. Included are in-depth explanations and proofs ... -
Algebraens fundamentalteorem
(Bachelor thesis, 2021)Denne bacheloroppgaven tar utgangspunkt i Algebraens fundamentalteorem og polynomlikningens historie. Algebraens fundamentalteorem sier at hver polynomlikning av grad n med komplekse koeffisienter har minst én kompleks ... -
Algebraens fundamentalteorem
(Bachelor thesis, 2021) -
Hvordan avsløre løgn med statistikk?
(Bachelor thesis, 2021)Hensikten med denne oppgaven er å beskrive vanlige feilkilder/fallgruver i sannsynlighetsregning og statistikk. De ulike feilkildene er beskrevet både skriftlig og matematisk. Oppgaven inneholder forklaringer på hvordan ... -
Lokal trendestimering av Covid-19-smitte ved bayesiansk analyse
(Bachelor thesis, 2021)Dette studiet tar for seg trendmodellen for Covid-19-smitte publisert i Stavanger Aftenblad. Hensikten er å videreformidle trendmodellens bayesianske bakteppe og fremheve bayesiansk analyse som metode for estimering under ... -
Rovdyr-Bytte Modellen
(Bachelor thesis, 2021)The thesis is about the Lotka-Volterra equations which describes, trough differential equations, a theoretical situation where one species (predator) lives on a another species (prey), while the prey lives on a different ... -
Comment on ''Szekeres universes with homogeneous scalar fields''
(Peer reviewed; Journal article, 2021-04)In two recently published articles, Barrow and Paliathanasis (2018, 2019) [1, 2] claim to have found exact solutions of Einstein’s field equations belonging to the class of non-trivial (i.e., spatially inhomogeneous) ... -
An Invariant Characterization of the Levi-Civita Spacetimes
(Peer reviewed; Journal article, 2021-08)In the years 1917–1919 Tullio Levi-Civita published a number of papers presenting new solutions to Einstein’s equations. This work, while partially translated, remains largely inaccessible to English speaking researchers. ... -
Correlated insulators in twisted bilayer graphene
(Peer reviewed; Journal article, 2021-03)Experiments on graphene bilayers, where the top layer is rotated with respect to the one below, have displayed insulating behavior when the moiré bands are partially filled. We calculate the charge distributions in these ... -
Importance Sampling-based Transport Map Hamiltonian Monte Carlo for Bayesian Hierarchical Models
(Peer reviewed; Journal article, 2021-06)We propose an importance sampling (IS)-based transport map Hamiltonian Monte Carlo procedure for performing a Bayesian analysis in nonlinear high-dimensional hierarchical models. Using IS techniques to construct a transport ... -
Derivations of the Young-Laplace equation
(Journal article, 2021-04)The classical Young-Laplace equation relates capillary pressure to surface tension and the principal radii of curvature of the interface between two immiscible fluids. In this paper the required properties of space curves ... -
Collider phenomenology of a unified leptoquark model
(Peer reviewed; Journal article, 2020-05)We demonstrate that in a recently proposed unified leptoquark model based on the gauge group SU(4)C×SU(2)L×U(1) R significant deviations from the Standard Model values of R K and R K ∗ can be accommodated without any need ... -
Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory
(Peer reviewed; Journal article, 2019-03)High-energy nuclear collisions produce a nonequilibrium plasma of quarks and gluons which thermalizes and exhibits hydrodynamic flow. There are currently no practical frameworks to connect the early particle production in ... -
Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity
(Peer reviewed; Journal article, 2020-03)We explore the in-medium properties of heavy-quarkonium states at finite baryochemical potential and finite transverse momentum based on a modern complex-valued potential model. Our starting point is a novel, rigorous ... -
Equivalences between Calabi–Yau manifolds and roofs of projective bundles
(PhD thesis UiS;, Doctoral thesis, 2021-04)It is conjectured that many birational transformations, called K-inequalities, have a categorical counterpart in terms of an embedding of derived categories. In the special case of simple K-equivalence (or more generally ... -
Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers
(Peer reviewed; Journal article, 2020-09)We investigate the tunneling of pseudospin-1 and pseudospin-3/2 quasiparticles through a barrier consisting of both electrostatic and vector potentials, existing uniformly in a finite region along the transmission axis. ... -
Highly occupied gauge theories in 2+1 dimensions: A self-similar attractor
(Peer reviewed; Journal article, 2019-11)Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar ... -
Bottomonium suppression at RHIC and LHC
(Peer reviewed; Journal article, 2019-02)The strong suppression of heavy quarkonia is a good indicator that one has generated a quark-gluon plasma (QGP) in an ultrarelativistic heavy ion collision. Recent advancements in first principles calculations of the heavy ... -
Lattice study of static quark-antiquark interactions in dense quark matter
(Peer reviewed; Journal article, 2019-05)In this paper we study the interactions among a static quark-antiquark pair in the presence of dense two-color quark matter with lattice simulation. To this end we compute Polyakov line correlation functions and determine ... -
Analytic structure of nonhydrodynamic modes in kinetic theory
(Peer reviewed; Journal article, 2019-09)How physical systems approach hydrodynamic behavior is governed by the decay of nonhydrodynamic modes. Here, we start from a relativistic kinetic theory that encodes relaxation mechanisms governed by different timescales ...