UU Student Theses Repository: Recent submissions

Now showing items 1-20 of 45543

    • Damped and Sustained Oscillations in SIR-models 

      Hoekzema, Martijn (2025)
      Different types of SIR-models are analysed for the existence of sustained oscillations. Techniques like linearisation around the endemic equilibrium and Hopf bifurcation theory are used for the analysis of these models. ...

    • Ergodic Theory and Applications To Stochastic Processes 

      Jansen, Michaël (2025)
      Het onderwerp van de scriptie is Ergodentheorie, met daarbij het doel om deze theorie toe te passen in het bestuderen van stochstische processen. De scriptie is geschreven als introductie tot Ergodentheorie.

    • Knot theory, the Jones polynomial and Khovanov homology 

      Vugts, Pjotr (2025)
      We introduce knot theory in a way suitable for third year Bachelor students. We then introduce the Jones polynomial, an invariant of knots. We `categorize' this Jones polynomial into a chain complex of cobordisms, and then ...

    • The Daisyworld System 

      Dijk, Niels van (2025)
      In this bachelor thesis, we study a version of the daisyworld model without spatial dynamics. The daisyworld model was made to study how the strength of solar luminosity affects the balance of plant life in an ecosystem. ...

    • Moufang Loops - An Intuitive Introduction 

      Subotički, Mila (2025)

    • Mathematical and numerical framework for fractional Brownian motion 

      Manen, Luuk van (2025)

    • Contact tracing for infectious disease models on complete graphs 

      Bouman, Bram (2025)
      Contact tracing is a method that was used for the COVID-19 pandemic to reduce the transmission of the infectious disease. However, the actual impact of this measure is hard to quantify. In this paper we analyze a SIQR ...

    • Trusting the Process, Not the Players: Secure Multiparty Computation Explained 

      Fransen, Jorik (2025)
      Secure Multi-Party Computation is a discipline within cryptography that focuses on computations performed by a group of participants, each holding some private information. The goal is to jointly compute a function of their ...

    • Data-Driven Discovery of Stochastic Dynamical Systems through Ensemble-SINDy Methods 

      Veneklaas, Marijke (2025)
      Modelling of natural phenomena is crucial for understanding dynamical systems and their behaviour. There exist several methods to systematically identify underlying models. These include Sparse Identification of Nonlinear ...

    • The Fractional Harmonic Oscillator: Analysis and Computation 

      Schouten, Kelvin (2025)
      This thesis explores the fractional harmonic oscillator by extending classical models with fractional derivatives. Analytical and numerical methods, such as Laplace transforms and L1/L2 schemes, are used to study memory ...

    • Analyzing the Kuperberg Plug 

      Groot, Joris Jan de (2025)
      In 1950, the mathematician Herbert Seifert posed a question in the study of dynamical systems: Does every non-vanishing vector field on the 3-sphere S3 admit a periodic orbit? This question, now known as the Seifert ...

    • Interpolating Neural Network Construction Independent of Dataset Size 

      Grovenstein, Yora (2025)
      The thesis introduces an algorithm that constructs a three-layer neural network in polynomial time. It is proven that under the threshold activation function the size of the constructed neural network depends only on the ...

    • Infinite Galois Theory 

      Dinnissen, Cas (2025)
      This thesis is on infinite Galois theory. It covers infinite field extensions and their Galois groups. It also covers the construction of infinite Galois groups and how they relate to finite field extensions. The Galois ...

    • Markov decision processes and their applications on multi-unit maintenance systems 

      Thierry, Thijs (2025)
      In this paper an extensive mathematical research into Markov decision processes was conducted. First, we presented the necessary preliminary knowledge on regular Markov chains and stochastic processes. This knowledge was ...

    • Contractibility of diffeomorphism groups of 2-dimensional manifolds 

      Aanen, Geert Simon (2025)
      The central goal of this paper is to establish the contractibility of the group of boundary-preserving diffeomorphisms on the square. This is done via translating it into a question about spaces of vector fields. The key ...

    • Arity of polynomials for equivalence classes of pseudo-Boolean functions 

      Batman, Taylan (2025)
      Pseudo-Boolean functions, which map binary inputs to rational numbers, are widely used in areas such as local search, evolutionary biology and decision science. These functions can be uniquely represented by multi-linear ...

    • One-Way Functions and Kolmogorov Complexity 

      Roseboom, Rik (2025)
      This thesis surveys the theory of one-way functions, presenting their formal mathematical definitions and exploring their applications such as pseudorandom generators and secure cryptographic schemes. It concludes with the ...

    • Bayesian Neural Networks for Option Pricing 

      Blankers, Benjamin (2025)
      This thesis develops a novel approach for pricing European options through Bayesian machine learning. Exploring popular techniques such as the COS method, Neural networks and MC dropout and utilising their advantages in a ...

    • D'Alembert tegen Euler in de trillende snaar controverse 

      Bolle, Lois (2025)
      In deze scriptie worden drie werken van d'Alembert besproken over de trillende snaar en vergelijken we de opvattingen van d'Alembert en Euler over de functies die voorkomen in de algemene oplossing van een partiële ...

    • First-Hitting Time of Polynomial Ornstein-Uhlenbeck Processes 

      Langemheen, Henrik van de (2025)
      Analysing the properties of the first-hitting time distribution of a polynomial ornstein uhlenbeck process and utilizing that distribution in a trading strategy.