Search for dissertations about: "Continuum percolation"
Showing result 1 - 5 of 8 swedish dissertations containing the words Continuum percolation.
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1. Continuum Percolation in non-Euclidean Spaces
Abstract : In this thesis we first consider the Poisson Boolean model of continuum percolation in $n$-dimensional hyperbolic space ${\mathbb H}^n$. Let $R$ be the radius of the balls in the model, and $\lambda$ the intensity of the underlying Poisson process. READ MORE
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2. Selected Topics in Continuum Percolation : Phase Transitions, Cover Times and Random Fractals
Abstract : This thesis consists of an introduction and three research papers. The subject is probability theory and in particular concerns the topics of percolation, cover times and random fractals.Paper I deals with the Poisson Boolean model in locally compact Polish metric spaces. READ MORE
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3. Asymptotics and dynamics in first-passage and continuum percolation
Abstract : This thesis combines the study of asymptotic properties of percolation processes with various dynamical concepts. First-passage percolation is a model for the spatial propagation of a fluid on a discrete structure; the Shape Theorem describes its almost sure convergence towards an asymptotic shape, when considered on the square (or cubic) lattice. READ MORE
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4. The Number of unbounded Components in the Poisson-Boolean Model in H2
Abstract : .... READ MORE
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5. Percolation: Inference and Applications in Hydrology
Abstract : Percolation theory is a branch of probability theory describing connectedness in a stochastic network. The connectedness of a percolation process is governed by a few, typically one or two, parameters. READ MORE