Browsing Institutt for matematiske fag by Title
Now showing items 509-528 of 2473
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Convolutions for localization operators
(Journal article; Peer reviewed, 2018)Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator provide a conceptual framework for the ... -
Coordinate maps for Lie group integrators applied to mechanical systems
(Master thesis, 2022)Liegruppeintegratorer er numeriske metoder brukt til å løse differensiallikninger som utvikler seg på mangfoldigheter via Liegruppevirkninger. I denne masteroppgaven introduseres en type Liegruppeintegrator som kalles ... -
Copula
(Master thesis, 2020)Copulaen er et interessant verktøy i statistikken. Den er brukt i mange forskjellige områder fra finans til klimamodeller. En stor grunn til at copulaen er nyttig er hvordan man kan bruke copulaen til å splitte en bivariat ... -
Correcting for under-reporting of violence against women in Italy using INLA
(Master thesis, 2022)Verdens helseorganisasjon (WHO) anslår at 30% av alle kvinner på verdensbasis har vært usatt for partnervold eller seksuelle overgrep av noen som ikke er en samlivspartnerpartner. I Italia er dette tallet estimert til å ... -
Corrective Source Term Approach for Improving Physics Based Models
(Master thesis, 2022)Pålitelege prediksjonsmodelleringsteknikkar er kritisk for eit utal av oppgåver i industrien. Med ein stadig pågåande teknologisk revolusjon innen store datamengder, vert tradisjonelle metodar basert på fysiske beskrivingar ... -
Counterparty Credit Exposure in Interest Rate Derivatives - Investigating the Effect of Collateralization
(Master thesis, 2019)Denne rapporten omhandler bruken av en stokastisk rentemodell, basert på LIBOR market models (LMM), til å bestemme prisen til rentederivater, samt risikoen assosiert ved derivatene. Etter å ha etablert grunnleggende konsept ... -
Counting and Coloring with Symmetry: A presentation of Polya's Enumeration Theorem with Applications
(Master thesis, 2009)This master's thesis explores the area of combinatorics concerned with counting mathematical objects with regards to symmetry. Two main theorems in this field are Burnside's Lemma and P'{o}lya's Enumeration Theoremfootno ... -
Counting Points on Elliptic Curves
(Master thesis, 2010)In this paper we present the first efficient point counting algorithm due to Schoof, before giving a significant improvement due to Elkies. In the final section I give Satoh's algorithm which is even faster and has paved ... -
Covering theorems in analysis and their applications
(Master thesis, 2017)In this thesis, we study three classical covering results in analysis; the Vitali covering lemma, the Besicovitch covering lemma and the Vitali covering theorem. We exploit the ordering structure of the real line to obtain ... -
Cramér-von Mises tests for change points
(Journal article; Peer reviewed, 2021)We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based ... -
Credit Risk Modelling with Expected Shortfall - A Simulation-based Portfolio Analysis
(Master thesis, 2016)The Basel Committee's minimum capital requirement function for banks' credit risk is based on a risk measure called Value at Risk (VaR). This thesis performs a statistical and economic analysis of the consequences of ... -
Cronus: Everlasting Privacy with Audit and Cast
(Journal article; Peer reviewed, 2019)We present a new online voting scheme with everlasting privacy and cast-as-intended verifiability. We follow the so called “audit-and-cast” paradigm where the voter audits the ballot before casting it. To mitigate the ... -
Cryptographic Analysis of Voting Systems
(Master thesis, 2013)Coercion-resistance is defined and used to analyze/discuss the voting systems Civitas and the Norwegian Voting Protocol. Pret a Voter is described both in a real and an ideal case, and analysis of these cases regarding ... -
Cryptographic Protocols from Lattice Assumptions
(Bachelor thesis, 2022)Bachelor oppgåva vil introdusera to gitter-problem, learning with errors (LWE) and shortest integer solution (SIS), som sikkerheten til gitter-kryptografi baserer seg på. LWE og SIS var introdusert av henholdsvis Oded Regev ... -
Cryptographic Tools for Cloud Security
(Doctoral theses at NTNU;2021:126, Doctoral thesis, 2021) -
Cryptographically Private Linear Regression
(Master thesis, 2021)Maskinlæring og stordatabehandling er viktige tema i den digitale verden, men her finnes det ufordringer med å holde dataene privat. I denne teksten skal vi se på hvordan en kan bruke homomorf kryptering for å holde både ... -
Cryptography for Blockchains
(Doctoral theses at NTNU;2022:253, Doctoral thesis, 2022) -
Cue identification in phenology: A case study of the predictive performance of current statistical tools
(Journal article; Peer reviewed, 2019)1. Changes in the timing of life‐history events (phenology) are a widespread consequence of climate change. Predicting population resilience requires knowledge of how phenology is likely to change over time, which can be ... -
Cumulants in Non-commutative:Probability via Hopf Algebras
(Doctoral theses at NTNU;2022:370, Doctoral thesis, 2022)The notion of cumulants plays a significant role in the combinatorial study of noncommutative probability theory. In this thesis, we study several problems associated with the notions of cumulants for free, Boolean and ...