Sökning: "Poisson Boolean model"

Hittade 5 avhandlingar innehållade orden Poisson Boolean model.

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

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

    Sammanfattning : .... LÄS MER

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

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

    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. 3. Continuum Percolation in non-Euclidean Spaces

    Författare :Johan Tykesson; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Bernoulli percolation; continuum percolation; dependent percolation; double phase transition; hyperbolic space; Poisson Boolean model; geodesic percolation; continuum percolation;

    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

  5. 4. Geometrical and percolative properties of spatially correlated models

    Författare :Olof Elias; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; continuum percolation; brownian excursions; brownian interlacements; poisson cylinder model; fractal percolation;

    Sammanfattning : This thesis consists of four papers dealing with phase transitions in various models of continuum percolation. These models exhibit complicated dependencies and are generated by different Poisson processes. For each such process there is a parameter, known as the intensity, governing its behavior. LÄS MER

  7. 5. Asymptotics and dynamics in first-passage and continuum percolation

    Författare :Daniel Ahlberg; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; first-passage percolation; noise sensitivity; continuum percolation; Gilbert model; limit theorems; shape theorem; stopped random walks; large deviations; dynamical percolation; 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