Sökning: "percolation"
Visar resultat 1 - 5 av 95 avhandlingar innehållade ordet 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. Accessibility percolation and first-passage percolation on the hypercube
Sammanfattning : In this thesis, we consider two percolation models on the n-dimensional binary hypercube, known as accessibility percolation and first-passage percolation. First-passage percolation randomly assigns non-negative weights, called passage times, to the edges of a graph and considers the minimal total weight of a path between given end-points. LÄS MER
3. 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
4. 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
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