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Showing 1 to 3 of 3 for “"Hastings-Levitov"”.
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Fluctuations and mixing for planar random growth
… The first part of this thesis focuses on the Hastings-Levitov model HL(0), according to which clusters of particles are built on the complex plane by iterated composition of random conformal maps. Following the scaling limit result of Norris and Turner (2012), who proved that the limiting …
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Simulation of Diffusion Limited Aggregation Models and Related Results
… some generalisations of results relating to Hastings-Levitov with α = 0, henceforth HL(0), another two-dimensional growth process. The second part is a study of numerical algorithms for simulating off-grid DLA. The third part describes and reports on some numerical experiments on multiple …
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Generalised Loewner Evolutions and their driving measures
… models. Additionally, we prove that a specific Hastings-Levitov(0) model with stochastic particles converges strongly to a ball. Lastly, as joint work with Prof. Dr. Eveliina Peltola from Aalto University in Helsinki and the University of Bonn we study chordal Loewner Evolutions with driving …