Blar i Department of Mathematics and Physics (TN-IMF) på emneord "VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410"
Viser treff 1-7 av 7
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Bridgeland Stability Conditions and the Hilbert Scheme of Skew Lines in Projective Space
(PhD thesis UiS;, Doctoral thesis, 2023-03)Bridgeland stability conditions are powerful tools for studying derived categories, with several applications to algebraic geometry. They were introduced by Bridgeland in 2002 [Bri07], who was motivated by Douglas’ work ... -
Fourier quasicrystals with unit masses.
(Peer reviewed; Journal article, 2020)The sum of δ-measures sitting at the points of a discrete set Λ⊂R forms a Fourier quasicrystal if and only if Λ is the zero set of an exponential polynomial with imaginary frequencies. -
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions
(Peer reviewed; Journal article, 2022)Let Q be an acyclic quiver and w 1 be an integer. Let C−w(kQ) be the (−w)-cluster category of kQ. We show that there is a bijection between simple-minded collections in Db(kQ) lying in a fundamental domain of C−w(kQ) and ... -
Interpolation of weighted extremal functions
(Peer reviewed; Journal article, 2021-03)An approach to interpolation of compact subsets of Cn, including Brunn–Minkowski type inequalities for the capacities of the interpolating sets, was developed in [8] by means of plurisubharmonic geodesics between relative ... -
Learning the nonlinear flux function of a hidden scalar conservation law from data
(Peer reviewed; Journal article, 2023-10)Nonlinear conservation laws are widely used in fluid mechanics, biology, physics, and chemical engineering. However, deriving such nonlinear conservation laws is a significant and challenging problem. A possible attractive ... -
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow
(Peer reviewed; Journal article, 2020-04)Recent experimental work has revealed that interstitial fluid flow can mobilize two types of tumor cell migration mechanisms. One is a chemotactic-driven mechanism where chemokine (chemical component) bounded to the ... -
Properties of Paley–Wiener spaces: sampling sets, contractions, and geometry of the unit ball
(PhD thesis UiS;, Doctoral thesis, 2023-03)This Thesis is based on five papers, four of which are published and one has been submitted for publication. For convenience of the reader, we also include one chapter that contains a brief overview of the results, some ...