Institutt for matematiske fag: Nye registreringer
Viser treff 61-80 av 2364
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Faktorisering av idealar i Dedekindområder
(Bachelor thesis, 2023)I denne bacheloroppgåva studerer ein korleis ideal blir faktorisert til eit unikt produkt av primideal i eit Dedekindområde. Det er interessant at ideal har denne eigenskapen, sidan det ikkje nødvendigvis er slik at eit ... -
Lattice-Based Authenticated Key Exchange with Tight Security
(Peer reviewed; Journal article, 2023)We construct the first tightly secure authenticated key exchange (AKE) protocol from lattices. Known tight constructions are all based on Diffie-Hellman-like assumptions. Thus, our protocol is the first construction with ... -
Recommendations for quantitative uncertainty consideration in ecology and evolution
(Peer reviewed; Journal article, 2023)Ecological and evolutionary studies are currently failing to achieve complete and consistent reporting of model-related uncertainty. We identify three key barriers – a focus on parameter-related uncertainty, obscure ... -
Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds
(Peer reviewed; Journal article, 2023)We present the Julia package Manifolds.jl, providing a fast and easy-to-use library of Riemannian manifolds and Lie groups. This package enables working with data defined on a Riemannian manifold, such as the circle, the ... -
A Generic Construction of Tightly Secure Password-Based Authenticated Key Exchange
(Peer reviewed; Journal article, 2023)We propose a generic construction of password-based authenticated key exchange (PAKE) from key encapsulation mechanisms (KEM). Assuming that the KEM is oneway secure against plaintext-checkable attacks (OW-PCA), we prove ... -
Derived equivalence classification techniques for Nakayama algebras
(Doctoral theses at NTNU;2024:18, Doctoral thesis, 2024)In the representation theory of finite dimensional algebras, the fundamental goal is to understand the structure of the category mod⇤ of finite dimensional modules over an algebra ⇤. While solving this problem is difficult ... -
One-sided Hölder regularity of global weak solutions of negative order dispersive equations
(Peer reviewed; Journal article, 2023)We prove global existence, uniqueness and stability of entropy solutions with initial data for a general family of negative order dispersive equations. These weak solutions are found to satisfy one-sided Hölder conditions ... -
Analytical and numerical solutions of radially symmetric aquifer thermal energy storage problems
(Peer reviewed; Journal article, 2023)Aquifer thermal energy storage (ATES) systems offer reduced energy costs, lower carbon emissions, and increased energy resilience. The feasibility, however, depends on several factors and usually require optimization. We ... -
Mathematical Modelling Using Study and Research Paths
(Chapter, 2023) -
Notes on the Short Ck’s
(Journal article, 2022) -
Low serum lipocalin-2 in pregnant women with systemic lupus erythematosus
(Peer reviewed; Journal article, 2023)OBJECTIVES: Systemic lupus erythematosus (SLE) pregnancies are considered high-risk due to risk of disease flare and pregnancy complications. A more in-depth understanding of the immunological alterations in SLE patients ... -
Dynamics of transcendental Hénon maps-II
(Peer reviewed; Journal article, 2022)Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have ... -
On the uniqueness of eigenfunctions for the vectorial p-Laplacian
(Peer reviewed; Journal article, 2023)We study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient. -
Statistical approaches for sampling and monitoring in Earth science applications
(Doctoral theses at NTNU;2023:374, Doctoral thesis, 2023) -
Accounting for unobserved spatial variation in step selection analyses of animal movement via spatial random effects
(Peer reviewed; Journal article, 2023)Step selection analysis (SSA) is a common framework for understanding animal movement and resource selection using telemetry data. Such data are, however, inherently autocorrelated in space, a complication that could impact ... -
Feature Learning in the Neural Collapse regime of Deep Classifiers
(Master thesis, 2023)Vi har identifisert Neural Collapse i de indre, skjulte lagene i flere typer dype nevralnett. Vi har vist at fenomenet oppstår i både fullstendig koblede nevralnett, konvolusjonsnett og residual-nett for flere datasett, ... -
Separable equivalences, finitely generated cohomology and finite tensor categories
(Peer reviewed; Journal article, 2023)We show that finitely generated cohomology is invariant under separable equivalences for all algebras. As a result, we obtain a proof of the finite generation of cohomology for finite symmetric tensor categories in ... -
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators
(Peer reviewed; Journal article, 2022)Since their introduction, Lie group integrators have become a method of choice in many application areas. Various formulations of these integrators exist, and in this work we focus on Runge-Kutta-Munthe-Kaas methods. First, ...