Browsing Institutt for matematiske fag by Title
Now showing items 1139-1158 of 2363
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Large values of the argument of the Riemann zeta-function and its iterates
(Journal article; Peer reviewed, 2021) -
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
(Journal article; Peer reviewed, 2023)We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infinitesimal generator of a stable Lévy process, ... -
Lasso-Path and Taut String Algorithm for One-Dimensional Total Variation Regularization
(Master thesis, 2017)In this thesis, we consider the minimization problem arising from a linear operator equation when applying Tikhonov regularization. In particular, we study the one-dimensional case with total variation penalization. We ... -
LATTICE THEORY OF TORSION CLASSES: BEYOND τ-TILTING THEORY
(Peer reviewed; Journal article, 2023) -
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 ... -
Lattice-Based Proof of Shuffle and Applications to Electronic Voting
(Peer reviewed; Journal article, 2021)A verifiable shuffle of known values is a method for proving that a collection of commitments opens to a given collection of known messages, without revealing a correspondence between commitments and messages. We propose ... -
Lattice-Based Signatures with Tight Adaptive Corruptions and More
(Peer reviewed; Journal article, 2022)We construct the first tightly secure signature schemes in the multi-user setting with adaptive corruptions from lattices. In stark contrast to the previous tight constructions whose security is solely based on number-theoretic ... -
Lattice-Based Zero Knowledge
(Master thesis, 2020)Vi presenterer 3 protokoller som benytter seg av lattice-basert zero-knowledge. Disse protokollene baserer sin sikkerhet på at det er vanskelig å løse det tilnærmede korteste vektor problemet, og kort heltallsløsning ... -
Lattice-Based Zero-Knowledge Proofs From Commitments
(Master thesis, 2023)Hovedformålet med denne oppgaven er å studere den nyeste lattice baserte zero-knowledge protokollen som ble introdusert av Lyubashevsky, Nguyen og Plançon. Vi starter med å introdusere de kryptografiske definisjonene og ... -
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants
(Peer reviewed; Journal article, 2022)In this paper, we consider a class of stochastic midpoint and trapezoidal Lawson schemes for the numerical discretization of highly oscillatory stochastic differen- tial equations. These Lawson schemes incorporate both the ... -
Lax monoidal adjunctions, two-variable fibrations and the calculus of mates
(Peer reviewed; Journal article, 2023) -
Learning algebra with Minecraft: A comparative case study on the use of artifacts in pattern generalization activities
(Master thesis, 2022)Målet med denne studien har vært å finne ut hvordan elever på ungdomsskolen arbeider med algebraisk mønster-generalisering ved hjelp av tre gitte artefakter, Minecraft, centikuber samt papir og blyant. Klassen ble delt i ... -
Learning from Imbalanced Data, with a Case Study in Finance
(Master thesis, 2019)Denne avhandlingen undersøker noen av utfordringene ved å klassifisere et ubalansert datasett, og de valgte algoritmene er logistisk regresjon og random forests (en metode basert på valgtrær). Hovedproblemet å håndtere når ... -
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
(Journal article, 2023)Numerical integrators could be used to form interpolation conditions when training neural networks to approximate the vector field of an ordinary differential equation (ODE) from data. When numerical one-step schemes such ... -
Learning Hamiltonians of constrained mechanical systems
(Peer reviewed; Journal article, 2022)Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is ... -
Learning Mathematics in a Context of Electrical Engineering
(Chapter, 2022)This paper reports from an early phase of a project where first-year students on a programme in electronic systems learn mathematics in close contact with their engineering specialisation. Using concepts from the Anthropological ... -
Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
(Chapter, 2020)In these lectures we present some useful techniques to study quantitative properties of solutions of elliptic PDEs. Our aim is to outline the proof of a recent result on propagation of smallness. The ideas are also useful ... -
The left heart and exact hull of an additive regular category
(Journal article; Peer reviewed, 2023)However, there are natural examples of categories in functional analysis which are not quasi-abelian, but merely one-sided quasi-abelian or even weaker. Examples are the category of LB-spaces or the category of complete ... -
LES and RANS simulation of onshore Bessaker wind farm: analyzing terrain and wake effects on wind farm performance
(Journal article; Peer reviewed, 2015)This work compares the predictive performance of RANS and LES solver in capturing the effect of terrain and wakes on the performance of the Bessaker wind farm. This 25 turbine wind farm is located in a highly complex terrain ... -
Lévy processes in term structure and market risk models
(Master thesis, 2020)Vi modellerer rentemarkeder med Lévy-terminstrukturmodeller generert av normal–inverse gaussiske (NIG) fordelinger og generaliserte hyperboliske skjeve Students (GSS) t-fordelinger. Vi sammenlikner modellene med en klassisk ...