Rosoman, T., 2011. Critical values in continuum and dependent percolation. Thesis (Doctor of Philosophy (PhD)). University of Bath.
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))|
|Uncontrolled Keywords||random sequential adsorption, random geometric graphs, percolation|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||UnivBath_PhD_2011_T.Rosoman.pdf: © The Author|
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