Search for dissertations about: "percolation theory"

Showing result 1 - 5 of 30 swedish dissertations containing the words percolation theory.

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

    Author : Anders Martinsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; hypercube; percolation; accessible path; house of cards; rough mount Fuji; first-passage percolation; Richardson s model; branching translation process; 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

  4. 2. Selected Topics in Continuum Percolation : Phase Transitions, Cover Times and Random Fractals

    Author : Filipe Mussini; Erik I. Broman; Hermine Biermé; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Poisson point process; Percolation; Boolean model; Quasi-isometries; Cover times; Poisson cylinder process; Ellipsoid process; Phase transition; Random fractals; Mathematics; Matematik;

    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

  5. 3. Inference in a Partially Observed Percolation Process

    Author : Oscar Hammar; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Percolation; Bayesian inference; frequentistic inference; consistency; Markov chain Monte Carlo; Monte Carlo Expectation Maximization; Markov chain Monte Carlo;

    Abstract : In this licentiate thesis, inference in a partially oberved percolation process living on a graph, is considered. Each edge of the graph is declared open with probability $\theta$ and closed with probability $1-\theta$ independently of the states of all other edges. READ MORE

  6. 4. The Number of unbounded Components in the Poisson-Boolean Model in H2

    Author : Johan Tykesson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Bernoulli percolation; Continuum percolation; Dependent percolation; Double phase transition; Hyperbolic disc; Poisson-Boolcan model; Poisson-Boolcan model;

    Abstract : .... READ MORE

  7. 5. Recursive Methods in Urn Models and First-Passage Percolation

    Author : Henrik Renlund; Sven Erick Alm; Svante Janson; John Wierman; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; stochastic approximation algorithm; generalized Polya urn; limit theorem; first-passage percolation; rate of percolation; time constant; Mathematical statistics; Matematisk statistik; Mathematical Statistics; Matematisk statistik;

    Abstract : This PhD thesis consists of a summary and four papers which deal with stochastic approximation algorithms and first-passage percolation. Paper I deals with the a.s. limiting properties of bounded stochastic approximation algorithms in relation to the equilibrium points of the drift function. READ MORE