Sökning: "continuum percolation"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden continuum percolation.
1. Continuum Percolation in non-Euclidean Spaces
Sammanfattning : 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. LÄS MER
2. Selected Topics in Continuum Percolation : Phase Transitions, Cover Times and Random Fractals
Sammanfattning : 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. LÄS MER
3. Asymptotics and dynamics in first-passage and continuum percolation
Sammanfattning : 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. LÄS MER
4. The Number of unbounded Components in the Poisson-Boolean Model in H2
Sammanfattning : .... LÄS MER
5. Percolation: Inference and Applications in Hydrology
Sammanfattning : 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. LÄS MER