Critical values in continuum and dependent percolation


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

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    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.


    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
    ID Code27839


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