Research

Critical values in continuum and dependent percolation


Reference:

Rosoman, T., 2011. Critical values in continuum and dependent percolation. Thesis (Doctor of Philosophy (PhD)). University of Bath.

Related documents:

[img]
Preview
PDF (UnivBath_PhD_2011_T.Rosoman.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (9MB) | Preview

    Abstract

    In the first part of this thesis I consider site and bond percolation on a Random Connection Model and prove that for a wide range of connection functions the critical site probability is strictly greater than the critical bond probability and use this fact to improve previously known non-strict inequalities to strict inequalities. In the second part I consider percolation on the even phase of a Random Sequential Adsorption model and prove that the critical intensity is finite and strictly bigger than 1. Both of these main results make use of an enhancement technique.

    Details

    Item Type Thesis (Doctor of Philosophy (PhD))
    CreatorsRosoman, T.
    Uncontrolled Keywordsrandom sequential adsorption, random geometric graphs, percolation
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementUnivBath_PhD_2011_T.Rosoman.pdf: © The Author
    StatusUnpublished
    ID Code27839

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...