# Search for dissertations about: "percolation"

Showing result 1 - 5 of 87 swedish dissertations containing the word percolation.

1. ## 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

2. ## 2. Accessibility percolation and first-passage percolation on the hypercube

Abstract : 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. READ MORE

3. ## 3. 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

4. ## 4. 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

5. ## 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