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Title: Critical values in continuum and dependent percolation
Author: Rosoman, Thomas
ISNI:       0000 0004 2711 557X
Awarding Body: University of Bath
Current Institution: University of Bath
Date of Award: 2011
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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.
Supervisor: Penrose, Mathew Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: random sequential adsorption ; random geometric graphs ; percolation